Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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graph the image of w(8, -8) after a reflection over the y-axis.
The image of \(W(8, - 8)\) after reflection over the \(y\) - axis is the point \((-8,-8)\). To graph it, we plot the point with \(x=-8\) and \(y = - 8\) on the coordinate plane.
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3 which of the following is the number sequence rule used when a number…
The correct option is "Cubed numbers" (the option corresponding to the rule of a number multiplied by itself three times).
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graph the image of l(1, -8) after a reflection over the y-axis.
The image of \(L(1,-8)\) after reflection over the \(y\) - axis is the point \((-1,-8)\). To graph it, we find the point with \(x=-1\) and \(y = - 8\) on the coordinate plane.
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graph the image of e(3, −3) after a reflection over the x-axis.
The image of \(E(3,-3)\) after reflection over the \(x\) - axis is the point with coordinates \((3,3)\).
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2. write a general statement about how to determine the ordered pairs o…
To determine the ordered pair of a vertex \((x,y)\) of a figure after reflection across the x - axis, the x - coordinate stays the same and the y - coordinate is negated, resultin…
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13. image of an angle with two adjacent angles labeled 2x + 10 and 4x +…
b)25
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graph the image of △def after a reflection over the x-axis.
The image of \(\triangle DEF\) after reflection over the x - axis has vertices at \(D'(3,7)\), \(E'(7,7)\), and \(F'(-3,3)\). (To graph it, plot these three points and connect the…
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12. find x a) 28 b) 5 c) 55 d) 40
c) 55
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11. diagram: right angle with two angles labeled 5x + 25 and x + 5 solv…
d) 10
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d. list the ordered pairs of quadrilateral 1 if it is reflected over th…
To solve this, we first need the original ordered pairs of Quadrilateral 1 (not provided here). However, the rule for reflecting over the \( x \)-axis is: for a point \( (x, y) \)…
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solve for x a) 5 b) 90 c)25 d)10 12. (3x−35)° at intersection of lines …
c) 55 ### Problem 13 (Angles on a straight line)
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c. list the ordered pairs of quadrilateral 2 if it is reflected over th…
To solve this, we first need the ordered pairs of Quadrilateral 2 (which are not provided here). However, the rule for reflecting a point \((x, y)\) over the \(x\)-axis is to keep…
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b list the ordered pairs of quadrilateral 1 if it is reflected across t…
To solve this, we first need the original ordered pairs of Quadrilateral 1 (which are missing here). However, the rule for reflecting a point \((x, y)\) across the \(y\)-axis is t…
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graph the image of △def after a reflection over the x-axis.
The image of \( \triangle DEF \) after reflection over the x - axis has vertices at \( D'(2, 7) \), \( E'(6, 7) \), and \( F'(-3, 3) \). (To graph, plot these points and connect t…
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terle (lms) homework (lms graded) cameron, arthur, and jamie are playin…
To solve this problem, we need the coordinates of Cameron, Arthur, and Jamie from the soccer field grid (which is not fully visible here). Assuming we have their coordinates \((x_…
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graph the image of △rst after a reflection over the x-axis.
The image of \( \triangle RST \) after reflection over the x - axis has vertices at \( R'(-5, 10) \), \( S'(-1, 10) \), and \( T'(-1, 4) \). (To graph, plot these points and conne…
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graph the image of △def after a reflection over the x-axis.
The reflected triangle \( \triangle D'E'F' \) has vertices at \( D'(-1, 8) \), \( E'(-1, 4) \), and \( F'(8, 9) \). (To graph, plot these points and connect them.)
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graph the image of △stu after a translation 2 units right and 6 units d…
The image \( \triangle S'T'U' \) has vertices at \( S'(-6, -7) \), \( T'(-6, -6) \), and \( U'(2, -6) \). (Graphing these points on the coordinate plane completes the translation.)
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diagram: right angle with two angles ( 5x + 35 ) and ( x + 5 ) solve fo…
c) 55 ### Problem 13 (Solve for \( x \))
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which angles are non-adjacent with ∠8 ? (mark all that apply) a) ∠1 b) …
a) $\angle 1$, b) $\angle 3$, c) $\angle 2$, d) $\angle 4$, e) $\angle 5$
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graph the image of △uvw after a translation 12 units left and 2 units d…
# Explanation: ## Step1: Find coordinates of U, V, W From the graph: - \( U(2, 3) \) (since it's 2 units right on x - axis, 3 units up on y - axis) - \( V(5, 3) \) (5 units right …
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4 fill in the blank 1 point net worth is choose your answer... minus ch…
First blank: Assets; Second blank: Liabilities ### Question 5 (Matching)
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graph the image of δabc after a rotation 270° clockwise around the orig…
The image of \( \triangle ABC \) after a 270° clockwise rotation around the origin has vertices at \( A'(-5, 3) \), \( B'(-6, 3) \), and \( C'(-4, 1) \). (To graph, plot these poi…
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9. determine the value of ( x^circ ).
\(55\)
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n rule (x, y) → (x + 4, y + 7) slide of the pre-image (4, 5) as his err…
- The transformation rule should be applied to the pre - image. - The application of the rule results in the point \((8,12)\). - The transformation rule was applied to the wrong p…
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john says the transformation rule (x, y) → (x + 4, y + 7) can be used t…
John should have used subtraction (specifically \((x,y)\to(x - 4,y - 7)\)) instead of addition for the transformation rule, as the x - coordinate changes from \(4\) to \(0\) (a de…
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$\\overline{pl}$ has endpoints $p(4, -6)$ and $l(-2, 1)$. the segment i…
\( P'(9, -6), L'(3, 1) \) (corresponding to the third option: \( P'(9, -6), L'(3, 1) \))
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triangle xyz has coordinates x(2, 4), y(-3, 4), and z(-3, 1). if the tr…
\( Y'(-5, 5) \)
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which statement is true about the diagram? diagram: points a, k, b, t o…
K is the midpoint of \(\overline{AB}\) (the second option among the given options: "K is the midpoint of \(\overline{AB}\)")
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a triangle has coordinates f(-2, 3), g(-4, 1), and h(-2, -2). the trian…
\((x,y)\to(x + 2,y - 3)\)
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use the figure to identify the correct rule for the translation. $(x,y)…
\( (x, y) \to (x - 3, y + 4) \)
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which statement is true about the given information? diagram: line segm…
\( \overline{BD}\cong\overline{CE} \) (the third option)
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a figure is translated using the mapping (x, y) → (x + a, y + b). if th…
The figure moves left and down. (Corresponding to the option: The figure moves left and down.)
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a figure is translated using the rule (x, y) → (x − 3, y + 6). which de…
left 3 units and up 6 units (the last option: left 3 units and up 6 units)
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the point p(6, -1) is translated according to the rule (x, y) → (x - 5,…
\( P'(1, - 3) \)
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triangle abc has vertices a(4, 5), b(0, 5), and c(3, −1). the triangle …
B. \((-3, 6)\)
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translating figures triangle abc is translated 6 units to the right and…
\( C'(4, -2) \) (corresponding to the first option: \( C'(4, -2) \))
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which are true statements about a translation? select all that apply. t…
- The image is congruent to the pre - image. - The image could be moved left or right. - The image could be moved up or down.
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given that d is the midpoint of (overline{ab}) and k is the midpoint of…
\( AK + BK = AC \) (the third option)
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a paragraph proof contains a set of sentences explaining the steps need…
contains a set of sentences explaining the steps needed to reach a conclusion
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practice identifying translations on a plane. the translation shown in …
Horizontal translation (or more precisely, a translation 5 units to the right, but the type is horizontal translation as it moves along the x - axis with no vertical shift)
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triangle def has coordinates d(-3, -2), e(-1, -2), f(-2, -4). the trian…
\((x,y)\to(x + 4,y - 2)\)
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identify the rule for the transformation shown in the figure that trans…
\((x,y)\to(x + 4,y + 2)\)
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if the point g(-4, 6) was moved horizontally 4 units to the left, which…
\( (x, y) \to (x - 4, y) \)
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in set-builder notation, the solution set is \\{x \\mid x > -\\frac{25}…
To graph the solution set \(x>-\frac{25}{7}\) (or \(x > - 3.57\) approximately) on the number line: - Place an **open circle** at \(-\frac{25}{7}\) (or \(-3.57\)) (since the inequ…
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decimals. 0.4y - 2 > 2.4y - 6 part 1 of 3 in set-builder notation, the …
To graph the solution set \(y < 2\) on the number line: - Place an open circle at the point corresponding to \(2\) on the number line (to show that \(2\) is not included in the so…
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which ethnic group has the lowest rate of illegal drug use? options: ca…
B. Asian Americans
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part 2 of 3 in interval notation, the solution set is (-∞, 8). part: 2 …
To graph the solution set \((-\infty, 8)\) on the number line: 1. Place an open circle at \(8\) (because the interval is open at \(8\), meaning \(8\) is not included in the soluti…
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find the distance between the points (-10, 6) and (-4, -5). write your …
\(\sqrt{157}\)
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how are rigid transformations used to justify the sas congruence theore…
- $\boldsymbol{\checkmark}$ Rigid transformations preserve segment lengths and angle measures - $\boldsymbol{\checkmark}$ A rigid transformation, or a combination of rigid transfo…
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justifying the sas congruence theorem how are rigid transformations use…
To justify the SAS (Side - Angle - Side) congruence theorem using rigid transformations: Consider two triangles with two congruent sides and an included congruent angle. A sequenc…
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a chef can spend at least $137 but no more than $251 to prepare a seafo…
The graph with closed circles at 5 and 11, and the line segment between them (the third option among the given number lines).
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geometry the area of the base of a rectangular box measures (2x^2 + 4x …
The polynomial expression for the volume of the box is \( 2x^{3}+4x^{2}-3x \) cubic units.
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a forest fire leaves behind an area of grass burned in an expanding cir…
\( 16\pi t^{2}+32\pi t + 16\pi \) (or factored form \( \pi(4t + 4)^{2} \))
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solve the inequality and graph the solution set. write the answer in in…
Part 1: The solution in interval notation is \(\boldsymbol{(-0.4, 0.5)}\). Part 2: On the number line, place open circles at \(-0.4\) and \(0.5\) and draw a line connecting them b…
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read the passage from \the manus, colonization and dreams in black diam…
4. The Akaut had deep affection for their land
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question 3 (multiple choice worth 1 points) (lc) the formula for the pe…
The correct option is the one with the equation \( 38 = 2(w + 6)+2w \) (assuming the second option in the list has this equation, e.g., if the options are labeled as A, B, C, D, a…
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depending on the day of the week, a local gas station charges greater t…
The first graph (with open circle at 25 and closed circle at 55, and the line connecting them)
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which of these triangle pairs can be mapped to each other using both a …
The triangle pair with triangles \( \triangle XYC \) (or \( \triangle XYZ \) with right angle at Y) and \( \triangle ABC \) (right angle at B) sharing vertex \( C \) (the first pa…
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introduction to proof segment ab is congruent to segment ab. this state…
reflexive
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solve the inequality. 3w - 5 > 2w + w - 7 ○ w > -2 ○ all real numbers ○…
The solution to the inequality \(3w - 5>2w + w-7\) is "All real numbers", and the graph that represents all real numbers is the one with the line spanning the entire number line (…
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the proof that $\\triangle acb \\cong \\triangle ecd$ is shown. given: …
\(\boldsymbol{\angle ACB \cong \angle ECD}\) (the third option: \(\angle ACB \cong \angle ECD\))
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roduction to proof given that (overline{rt} cong overline{wx}), which s…
The statement that must be true is \(RT + TW = WX + TW\) (assuming the first option's typo is corrected, as it's based on \(RT = WX\) and adding \(TW\) to both sides). If the firs…
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in the diagram, (overline{kl} cong overline{nr}) and (overline{jl} cong…
\(\boldsymbol{\angle L\cong\angle R}\) (the option with \(\angle L\cong\angle R\))
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katya is making a rectangular table that is \\(\\frac{3}{4}\\) m wide. …
\( 1\frac{3}{5} \) (or \( \frac{8}{5} \))
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a round swimming pool has a diameter of 14ft and a height of 4ft. the p…
725
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question a rectangular container has a length of 11ft, a height of 4ft,…
987
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introduction to proof a two - column proof uses inductive reasoning to …
To determine the correct description of a two - column proof: 1. Recall the definition of a two - column proof: A two - column proof is a type of proof in geometry (and other area…
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duction to proof if ( mangle a = mangle b ) and ( mangle a + mangle c =…
substitution property
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the last line of a proof represents the argument. the given information…
D. the conclusion
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triangle ghj is rotated 90° about point x, resulting in triangle str. w…
\(\boldsymbol{\overline{TS}\cong\overline{HG}}\) (the option with \(\overline{TS}\cong\overline{HG}\))
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in the diagram, δpmn ≅ δqsr. if qr = 20 in., rs = 7 in., and sq = 24 in…
20 in.
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which are correct statements regarding proofs? choose three correct ans…
- A flowchart proof is a visual way of describing the statements and reasons for a proof. - In a paragraph proof, statements and their justifications are written in sentences in a…
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triangle xyz was translated up 2 and right 3 units, creating triangle c…
\(\overline{YZ}\cong\overline{AB}\) (the option with \(\overline{YZ}\cong\overline{AB}\))
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triangle trs is rotated about point x, resulting in triangle bac. figur…
14 ft (corresponding to the option "14 ft")
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quadrilateral abcd is reflected over line segment y as shown, resulting…
\(7\) in (corresponding to the option "7 in")
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graph the image of △uvw after a rotation 180° counterclockwise around t…
The image of \( \triangle UVW \) after a 180° counterclockwise rotation around the origin has vertices at \( U'(-2, 2) \), \( V'(-10, 2) \), and \( W'(-1, 8) \). (To graph, plot t…
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rectangle abcd is congruent to rectangle urst. what is the area of rect…
\( 135\space mm^2 \) (corresponding to the option "135 \( \text{mm}^2 \)")
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the figure was created by repeatedly reflecting triangle nmp. what is t…
44 in.
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2. draw an obtuse angle.
An obtuse angle (e.g., \( 120^\circ \) angle) is drawn as described above. (Visually, it's an angle wider than a right angle but less than a straight angle.)
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quadrilateral abcd is rotated 145° about point t. the result is quadril…
\(ABCD\cong A'B'C'D'\)
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quadrilaterals wxyz and badc are congruent. in addition, \\(\\overline{…
20 cm
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1.draw an acute angle.
An acute angle (e.g., \( \angle AOB \) with measure between \( 0^\circ \) and \( 90^\circ \)) is drawn as described. (The actual drawing would show two rays meeting at a vertex wi…
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triangle abc is an isosceles right triangle. what is the measure of one…
B. \(45^\circ\)
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consider triangle wxy. wx is 5, xy is 10, wy is 14. which statement abo…
Angle W is greater than angle Y.
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in the triangles, (overline{bc} cong overline{de}) and (overline{ac} co…
longer than
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what is the value of x? ○ x = 2.25 ○ x = 11.25 ○ x = 13 ○ x = 22 (2x + …
\( x = 11.25 \) (Option: \( x = 11.25 \))
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based on the diagram, which expresses all possible lengths of segment a…
\(27 < AB < 81\) (the option with this inequality)
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triangle xyz is isosceles. angle y measures a° (diagram of triangle xyz…
\( 180 - 2a \) (corresponding option: the one with \( 180 - 2a \))
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what is the length of xb? ○ 4.2 cm ○ 4.6 cm ○ 4.8 cm ○ 5.3 cm
\( 5.3 \, \text{cm} \) (the option with \( 5.3 \, \text{cm} \))
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point h is the circumcenter of triangle def. which must be true? select…
A. Point H is the center of the circle that passes through points D, E, and F C. \(\overline{HE} \cong \overline{HD}\)
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what is the length of segment ns? 1 unit 2 units 4 units 6 units (diagr…
4 units (Option: 4 units)
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given: ( mangle a + mangle b = mangle b + mangle c ) prove: ( mangle c …
First dropdown: reflexive Second dropdown: symmetric
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writing a paragraph proof given: ( mangle a + mangle b = mangle b + man…
First blank: measure of angle A equals the measure of angle C; Second property: Symmetric (or the property that if \( a = b \) then \( b = a \), which is the Symmetric Property of…
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a regular pentagon is created using the bases of five congruent isoscel…
\(54^\circ\) (corresponding to the option with \(54^\circ\))
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which angle is an adjacent interior angle to ∠jkm? ○ ∠jkl ○ ∠mkl ○ ∠klm…
\( \boldsymbol{\angle MKL} \)
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estimate the measure of ∠mno to the nearest 10°. diagram: angle at n wi…
130 (Note: Depending on the exact diagram, the estimate could be 120 or 130, but based on typical such diagrams, 130 is a common estimate. However, if the angle looks closer to 12…
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given ( mangle a + mangle b = mangle b + mangle c ) prove ( mangle c = …
First blank: measure of angle A equals the measure of angle C Second property: symmetric (or subtraction followed by symmetric, but the key first part is the angle A = angle C sta…
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in triangle trs, vz = 6 inches. what is rz? 3 inches 6 inches 12 inches…
12 inches
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in the diagram, which must be true for point d to be an orthocenter? (o…
B. \(\overline{BE} \perp \overline{AC}\), \(\overline{AG} \perp \overline{BC}\), and \(\overline{CF} \perp \overline{AB}\)