Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the diameter of a circle is 8 cm. find its area to the nearest whole nu…
51 cm²
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question the radius of a circle is 13 cm. find its area in terms of \\(…
$169\pi$
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$\\overline{rv} \\cong \\overline{sv}$ and $\\overline{tv} \\cong \\ove…
1. Given 2. Given 3. Vertical Angles Congruence Theorem 4. SAS Congruence Postulate
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question the radius of a circle is 19.5 m. find the circumference to th…
122.5 m
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question the radius of a circle is 8 in. find its circumference in term…
$16\pi$ in
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which set of statements shows that the point $(-3.5, -4)$ is the point …
A. \(\begin{cases}-2(-3.5) + 5(-4) = -13 \\ 12(-4) = 4(-3.5) - 34\end{cases}\)
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check your understanding- question 1 of 6 attempt 1 of 2 identify the b…
- Spectator: Root - Generous: Suffix - Phobia: Root - Rebroadcast: Prefix (To mark in the circles: For Spectator, select Root circle; for Generous, select Suffix circle; for Phobi…
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$overline{hk} cong overline{ij}$ and $overline{jk} cong overline{hi}$. …
1. Given 2. Given 3. Reflexive Property of Congruence 4. Side-Side-Side (SSS) Congruence Postulate
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the lines $2x - y = 8$ and $4x - 2y = 16$ intersect at _______. a. 2 po…
C. an infinite number of points
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on the coordinate plane below, square (abcd) is dilated by a factor of …
The location of \(C'\) is \((4, -6)\)
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△fgi is equilateral, \\(\\overline{gh} \\cong \\overline{fj}\\), and \\…
1. Reason for Statement 1: Given 2. Reason for Statement 2: Given 3. Reason for Statement 3: Given 4. Reason for Statement 4: Sides of an equilateral triangle are congruent 5. Rea…
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triangle pqr was dilated according to the rule ( d_{o,2}(x,y) \to (2x,2…
B. \( \angle PQR \) corresponds to \( \angle QPQ' \) C. Segment \( QQ' \) is parallel to segment \( PP' \)
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geometry: algebra review packet part 3: solving equations solve each eq…
1. $y=8$ 2. $t=0$ 3. $x=27$ 4. $y=138$ 5. $z=-27$ 6. $p=5$ 7. $x=1$ 8. $x=-5$ 9. $x=-5$ 10. $x=8$ 11. $x=40$ 12. $t=32.5$ 13. $x=\frac{2}{3}$ 14. $x=5$ 15. $x=2$ 16. $g=4$ 17. $x=…
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read the excerpt from grendel. then they would fight. spears flying, sw…
D. He feels disgusted by the wasteful nature of war.
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why is the slope of the line that connects points (3, 2) and (7, 4) the…
C. The two sets of points each lie on the same line.
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determine if triangle def and triangle ghi are or are not similar, and,…
The triangles are not similar.
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check your understanding- question 1 of 2 attempt 1 of 2 determine whet…
s: - Geology: Latin/Greek (select the circle under Latin/Greek for Geology) - Pathology: Latin/Greek (select the circle under Latin/Greek for Pathology) - Reconnaissance: French/G…
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latin/greek french/germanic geology pathology reconnaissance beef hint …
s (select the correct radio buttons): - Geology: $\boldsymbol{\text{Latin/Greek}}$ (select the circle under Latin/Greek for Geology) - Pathology: $\boldsymbol{\text{Latin/Greek}}$…
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3 round your answer to the nearest tenth (one decimal place). find the …
12.2 cm
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rotate figure efgh 180° around the origin.
To rotate figure \( EFGH \) 180° around the origin, follow these steps: ### Step 1: Identify Coordinates of Vertices Assume the grid has 1-unit squares (or scale appropriately). F…
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qrst is a parallelogram. find the measure of st. enter the correct valu…
27
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abcd is a parallelogram. ab = 4.3, bc = 2.3, ae = 1.4, m∠adc = 116°. fi…
\(2.3\)
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draw in all lines of symmetry in the shape below. if there are no lines…
The shape has 2 lines of symmetry: 1. A vertical line passing through the exact center of the shape (left-right mirror line) 2. A horizontal line passing through the exact center …
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abcd is a parallelogram. ab = 4.3, bc = 2.3, ae = 1.4, m∠adc = 116°, fi…
\(116^\circ\)
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what is the image of (-1,8) after a 180° rotation?
\((1, - 8)\)
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abcd is a parallelogram. ab = 4.3, bc = 2.3, ae = 1.4, m∠adc = 116°. fi…
\( 4.3 \)
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4 the gray figure is a transformation of the green figure. identify the…
The transformation could be a translation (or rotation/reflection, e.g., translation: sliding the green figure to get the gray one). To compare properties, measure corresponding s…
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3 look at the image you drew in problem 2. are the properties of the si…
Yes, the properties of the sides and angles in the image are the same as in the original figure. This is because if the image is a rigid transformation (like translation, rotation…
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(5, 8) → (8, -5)
The transformation from \((5, 8)\) to \((8, - 5)\) is a \(90^{\circ}\) clockwise rotation about the origin, following the rule \((x,y)\to(y, - x)\)
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2 a figure and a line of reflection are shown. draw the image of the fi…
To draw the reflected figure: 1. Locate each vertex of the original (shaded) figure. 2. For each vertex, measure its horizontal distance from the vertical line of reflection. 3. P…
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s is the midpoint of \\(overline{rt}\\) and \\(\triangle pqs\\) is equi…
1. Reason for Statement 4: Definition of midpoint 2. Reason for Statement 6: SSS (Side-Side-Side) Congruence Postulate
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rotate $\\triangle stu$ $90^\\circ$ clockwise around the origin.
The rotated triangle \( \triangle S'T'U' \) has vertices \( S'(-1,2) \), \( T'(-3,1) \), and \( U'(-3,4) \) (or the coordinates can be adjusted based on the correct initial coordi…
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11 a series of transformations on quadrilateral s resulted in quadrilat…
A. dilation
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3 look at the image you drew in problem 2. are the properties of the si…
### Problem 2: (The reflected figure is a mirror image of the original trapezoid across the vertical line, with each vertex equidistant from the line on the opposite side of the o…
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classify this triangle by its sides and angles. right and isosceles rig…
obtuse and isosceles
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find the scale factor of triangle abc if it is dilated to triangle abc.…
\(\frac{1}{2}\)
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classify this triangle by its sides and angles. acute and equilateral r…
acute and equilateral
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example the gray figure is a transformation of the green figure. compar…
1. The original figure was translated **6 units to the right and 3 units up** to create the image. 2. (Reflected figure description): The reflected image is a mirror copy of the g…
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the equation of a line is given below. -2x - 5y = 10 find the slope and…
Slope: $\boldsymbol{-\frac{2}{5}}$ $y$-intercept: $\boldsymbol{-2}$ (the point $(0, -2)$ on the graph)
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trapezoid midsection \\frac{1}{2}(a + c) = b (there is a trapezoid diag…
If we are finding the top base \( A \) using the trapezoid midsection formula \( B=\frac{1}{2}(A + C) \) with \( B = 40 \) and \( C = 60 \), then \( A = 20 \).
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a line passes through the point $(-4, -3)$ and has a slope of $-dfrac{5…
$y = -\frac{5}{4}x - 8$
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△uxy ≅ △wvy. complete the proof that △uvy ≅ △wxy. statement\treason 1\t…
The completed proof has the following filled-in reasons and statements: 1. $\triangle UXY \cong \triangle WVY$ | Given 2. $\overline{UY} \cong \overline{WY}$ | CPCTC (from step 1)…
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a system of linear equations is shown in the graph. how many solutions …
0 (No solutions)
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question + answer (circle correct answer) how did native american servi…
C. They established secure radio communication in the Pacific war against Japan. ### Second Question (African Americans in WWII)
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write an equation of the line below.
$y=\frac{8}{3}x+1$
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complete the proof that $\\triangle ghi \\cong \\triangle gih$. stateme…
The missing reason for statement 3 is **ASA (Angle-Side-Angle) Congruence Criterion** Full completed proof: | Statement | Reason | |-----------|--------| | 1. $\angle H \cong \ang…
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mfm2p - culminating task task 6: detour!!! day 3 for this challenge, yo…
## Part a) 1. Sign error: $3x^2 - 9 = 0$ should be $-3x^2 - 9 = 0$ 2. Invalid solution step: $x^2 = 9 - 3$ is incorrect (the correct equation leads to $x^2 = -3$, which has no rea…
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statement reason 1 △ruv ≅ △stv given 2 ru ≅ st cpctc 3 rv ≅ sv cpctc 4 …
Side-Side-Side (SSS) Triangle Congruence Postulate
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complete the proof that $\\triangle efg \\cong \\triangle ghe$. | | sta…
The reason for statement 4 is **Side-Side-Side (SSS) Congruence Postulate**
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8 feet find the area of the square. a = \\boxed{} ft²
64
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the graph of the relation t is shown below. give the domain and range o…
domain = $\{-4, 0, 4\}$ range = $\{-4, -3, 2, 4\}$
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11 feet find the area of the square. a = \\square ft²
121
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find the measures of an interior angle and an exterior angle of a regul…
\( 140^\circ \)
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find the missing angle measure. the measure of the missing angle is \\(…
\( 101 \)
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2 inches find the area of the square. a = \\square in²
$4$
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find the value of each variable. y = square z = square
\( y = 97 \), \( z = 77 \)
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find the measure of one interior angle in the regular polygon. the meas…
\( 108 \)
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which pairs of figures below are congruent? (the figures in the image a…
1. Top-left pair: No 2. Top-right pair: No 3. Bottom-left pair: Yes 4. Bottom-right pair: No
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what are the measures of the angles in the right triangles formed by th…
90, 36, 54
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Perpendicular Graph 3: Neither Graph 4: Perpendicular
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graphic organizer venn diagram name: date: instructions: write details …
To complete the Venn diagram comparing “Welles high school experience” and “My high school experience,” we analyze the unique and shared aspects: ### Left Circle (Welles High Scho…
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a triangle has a base of 7 inches and a height of 4 inches. what is its…
1. 14 in² 2. 26 m²
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a triangle has a base of 4 meters and a height of 13 meters. what is it…
A. $26\ \text{m}^2$
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a triangle takes up exactly half the space of a rectangle when they sha…
First question: A triangle takes up exactly half the space of a rectangle when they share the same base and height Second question: They must be perpendicular to one another
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what is the formula for finding the area of a triangle? * 1 point base …
1. $\frac{1}{2} \times \text{base} \times \text{height}$ 2. A triangle takes up exactly half the space of a rectangle when they share the same base and height
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a. multiple choice (circle the best answer) 1. spartas main focus was o…
B. military strength ### Question 2
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mfm2p - culminating task task 6: detour!!! day 3 for this challenge, yo…
## Part a) 1. First mistake: Incorrect sign handling when rearranging terms (should be $x^2 + 12x - 18 - 4x^2 - 12x + 9 = 0$, not $x^2 - 4x^2 + 12x - 12x - 18 + 9 = 0$ with the wr…
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the graph of a line is represented by the equation $4x + y = 80$. which…
D. - 4
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there is a right triangle, the hypotenuse length is 11, one of the acut…
\( x\approx3.94 \) (or more precise \( 3.9424 \))
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question: 3 karel the dog is instructed to move forward two spaces. the…
Karel will end up at the space two spaces above the yellow ball (in the same column as the starting position, two rows up).
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wing system of inequalities graphically on the set of axes below. state…
If we assume the first inequality is \( y\leq\frac{5}{4}x - 8 \) (maybe a typo in the original problem), the point \((4, - 5)\) satisfies both \( y\leq\frac{5}{4}x - 8 \) (since \…
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a circle with an area of 100π square centimeters is dilated so that its…
\(\frac{1}{2}\) (the third option, i.e., the option with \(\frac{1}{2}\))
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from a viewing height of h feet, the approximate distance d to the hori…
Para \( h = 180 \) pies, la distancia exacta es \( \boldsymbol{3\sqrt{15}} \) millas (o aproximadamente \( \boldsymbol{12} \) millas).
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determine whether each set of numbers can be measure of the sides of a …
1. Yes, right triangle 2. Yes, right triangle 3. Yes, obtuse triangle 4. Yes, obtuse triangle 5. Yes, right triangle 6. Yes, right triangle
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unit 5 lesson 8 assignment a scale model of an oil tanker truck can hol…
The scale factor is 20.
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a cone has a radius of 30\\pi in³ and a slant height of 100\\pi in²? th…
12500π (the second option, assuming the options are: 1792π, 12500π, 5000π, 5625π)
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from a viewing height of h feet, the approximate distance d to the hori…
Para la parte a), la distancia exacta es \( \sqrt{135} = 3\sqrt{15} \) millas (o aproximadamente 12 millas si redondea a la milla más cercana). Pero la pregunta pide la forma exac…
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mathematics diagnostic assessment prove that alternate interior angles …
| Statement | Reason | |-----------|--------| | $\angle 2 \cong \angle 6$ | Corresponding angles are congruent. | | $\angle 2 \cong \angle 3$ | Vertical angles are congruent. | | …
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12 drag each label to the correct location on the image. not all labels…
$r = 6$ cm $h = 5$ cm $d = 12$ cm
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using the side lengths of the given triangles (not drawn to scale), det…
The right triangles are: 1. The triangle with side lengths 15, 36, 39 2. The triangle with side lengths 7, 24, 25 The triangle with incomplete side lengths (13, ?, 35) cannot be v…
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using the graph above, match the segment names with their corresponding…
$\overline{CD} \longleftrightarrow \sqrt{34}$ units $\overline{BD} \longleftrightarrow 17$ units $\overline{AB} \longleftrightarrow 12$ units $\overline{AC} \longleftrightarrow \s…
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23. what does the solution to ( x + 4 > 6 ) look like on a number line?…
d. Open circle at 2, shading to the right
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unit 7: polygons & quadrilaterals quiz 7 - 1: angles of polygons & para…
1. $3060^\circ$ 2. $12$ 3. $140^\circ$ 4. $360^\circ$ 5. $36^\circ$ 6. $125^\circ$ 7. $\frac{350}{19}\approx18.42$ 8. $7$ 9. $\frac{310}{11}\approx28.18$ 10. $KL=27$, $m\angle JKL…
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weconnect: match the spanish word in the left column with its english e…
### Matching the Spanish words with English translations: 1. **La tableta** - "tableta" in Spanish refers to a tablet, so matches with H. the tablet. 2. **El estéreo** - "estéreo"…
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16. a line passes through the points (2, -5) and (6, 3). what is the sl…
c. 2
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15. the length of a rectangle is 3 inches more than twice its width. if…
c. $2w + 2(2w + 3) = 30$
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start by plotting point l.
Point $L'$ is located 6 concentric circle units from center $R$, along the straight line extending from $R$ through the original point $L$.
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circle n is a dilation of circle m with point r as the center of dilati…
3
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problem 10 select all the sets of side lengths that form a right triang…
The sets of side lengths that form a right triangle are: - \(4, \sqrt{84}, 10\) - \(\sqrt{8}, 11, \sqrt{129}\) - \(\sqrt{1}, \sqrt{3}, 2\)
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problems 8-9 a standard city block in manhattan is a rectangle measurin…
The distance Sol would walk by cutting through the park is approximately \(281.6\) meters. ### Second Sub - Question: If Sol walks an average of 1.42 meters per second, how much t…
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the diagram shows ned’s movement as he left his house and traveled to d…
W
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
To graph the ellipse \(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\): 1. Plot the center at \((0,0)\). 2. Plot the \(y\)-intercepts (vertices) at \((0,3)\) and \((0, - 3)\). 3. Plot the \(x…
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m3|l1 how well can you measure? square | side length (cm) | perimeter (…
- Square A Perimeter: \( 20 \) cm - Square B Perimeter: \( 14 \) cm - Square C Perimeter: \( 24 \) cm - Square D Perimeter: \( 8.8 \) cm (If filling the table, the perimeters are …
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problem 6 calculate the length of each side of this right triangle shor…
Shorter leg: 5 Longer leg: 7 Hypotenuse: \(\sqrt{74}\) (or approximately 8.6)
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problem 3 here is an equilateral triangle. the length of each side is 2…
\(\sqrt{3}\)
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problem 3 calculate the exact value of the unknown side length in the r…
\(2\sqrt{3}\)
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determine the value of x using the information in the diagram. type you…
$105^\circ$
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problem 2 calculate the exact value of the unknown side length in the t…
\(\sqrt{21}\)
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calculate the exact value of the unknown side length in the right trian…
6
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10. （triangle with side 15, side 31, angle 126°, and angle x°）
\( x \approx \boldsymbol{23^\circ} \) (or \( 22.9^\circ \) for more precision)