Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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12. the area of a rectangle is 430 cm². if the length is 8 cm more than…
The width of the rectangle is approximately \( 10.71 \, \text{cm} \) and the length is approximately \( 40.13 \, \text{cm} \). If we want to solve it more precisely, we can keep i…
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develop which word is closest in meaning? ○ distort ○ remove ○ grow ● r…
The correct option is the one with "Reduce" (the last option in the list, with the blue dot indicating selection, so: The option with "Reduce" (the one with the blue filled circle…
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10. select the correct equation to solve for missing side d. image of a…
\(\sin 39^\circ=\frac{d}{30}\) (the third option, assuming the options are ordered as given with the third being \(\sin 39=\frac{d}{30}\))
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what geometric reason justifies the transition from statement 5 to stat…
Transitive Property
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what geometric reason justifies the transition from statement 2 to stat…
Substitution
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#12 r(4,-9), s(-7, -2)
The distance between \( R \) and \( S \) is \( \sqrt{170} \) (or approximately \( 13.04 \)).
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what geometric reason justifies the transition from statement 6 to stat…
B. Substitution
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bly is making a quilt with his grandmother. the section of the design t…
\(31^\circ\) (corresponding to the option \(31^\circ\))
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \((3, - 2)\) Point in final figure: \((3,6)\)
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what geometric reason justifies the transition from statement 3 to stat…
Substitution
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ticket 1 graph the equation. $y = \\frac{1}{2}x + 3$ ticket 2 graph the…
The graphs are drawn as described above for each ticket. For Ticket 1: Line through (0,3) and (2,4); Ticket 2: Line through (0,4) and (2,3); Ticket 3: Line through (0, - 3) and (1…
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what geometric reason justifies the transition from statement 7 to stat…
Substitution
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11. find the m∠h. there is a right triangle deg with right angle at e, …
\( 37^\circ \)
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1) in the figure below, ∠qts ≅ ∠trs. (other parts: use the drop - down …
For the "Two triangles are similar if" drop - down, the correct option is "adjacent angles are congruent". The similar triangles are \( \triangle QTS \) and \( \triangle TRS \) (d…
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Question was provided via image upload.
The equation of the line is \(y=-x + 1\) (or the slope is \(- 1\) and y - intercept is \(1\))
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look at the number line below. what point is marked on the number line?
$-0.9$ (or $-\frac{9}{10}$)
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in the figure below, $\\angle qts \\cong \\angle trs$. use the drop - d…
For the first drop - down: two pairs of corresponding angles are congruent. For the triangle similarity: \(\triangle QTS\sim\triangle TRS\) (assuming the relevant triangles, with …
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nd the measure of angle b. 20) 21) 22)
\( 32^\circ \) ### Problem 21:
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select true or false for each statement. a triangle can have more than …
1. A triangle can have more than one right angle: False 2. Each vertex of a triangle has two exterior angles, and these angles are always congruent: True 3. The sum of the measure…
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8) image of a coordinate grid with the y-axis (blue line) and two blue …
The equation of the line is \(x = 0\)
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where is the blue dot on the number line? -10.5 -11 -11.5
-11.3
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in the figure, ( mangle 1 = 39^circ ) and ( mangle 2 = 82^circ ). what …
\(121^\circ\) (corresponding to the option with \(121^\circ\))
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8. find the m∠d. d (4.5x - 9)° (5.5x + 24)° f (6x)° e
\(m\angle D = 40.5^\circ\) (or if we consider possible typos, but with the given expressions, this is the result)
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select all of the triangles that can be proven congruent to the given t…
A, C, D (assuming the options are A, B, C, D, E with E being the last one; but based on the analysis, A, C, D are congruent)
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7. find the measure of each angle. m∠ljk= m∠mlk= (handwritten equations…
\(m\angle LJK = 36^{\circ}\), \(m\angle MLK=103^{\circ}\)
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given: \\(\\overline{ab} \\cong \\overline{ad}; \\overline{bc} \\cong \…
The reason that justifies Step 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".
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8. dilate abcd by scale factor of ½ and relabel the new points. 9. afte…
To dilate \( ABCD \) by scale factor \( \frac{1}{2} \) about \( P \): 1. For each vertex \( A, B, C, D \), draw a line from \( P \) through the vertex. 2. Locate the new vertex (e…
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13. in right triangle abc, altitude cd with length 6 is drawn to its hy…
b. 3
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12. triangle abc (not pictured) was transformed using a function rule. …
c. \((x,y)\to(4x,4y)\)
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determine the domain of the following graph:
The domain of the graph is \([-8, 8]\) (or \(-8\leq x\leq8\))
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4) choose the correct expansion of ((x + 2)^6). you will need to comple…
# Explanation: ## Step1: Recall Pascal's Triangle Pascal's Triangle rows start with row 0: \(1\). Row 1: \(1, 1\). Row 2: \(1, 2, 1\). Row 3: \(1, 3, 3, 1\). Row 4: \(1, 4, 6, 4, …
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the radius of a circle is 13 metres. what is the circles area? round yo…
\( 530.93 \)
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aleks circumference and area of circles review (morgan) question 13 of …
(a) Area: \( 4\pi \) square millimeters (b) Circumference: \( 4\pi \) millimeters
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7. find the length of the circular arc and then the area of the sector …
A. \( \frac{32\pi}{3}, 64\pi \)
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the diameter of a circle is 52 millimetres. what is the circles area? r…
\( 2123.72 \)
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the diameter of a circle is 34 kilometres. what is the circles area? ro…
\( 907.92 \)
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the radius of a circle is 14 kilometres. what is the circles area? r=14…
\( 615.75 \)
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the diameter of a circle is 26 millimetres. what is the circles area? r…
\( 530.93 \)
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the radius of a circle is 18 kilometres. what is the circles area? roun…
\( 1017.88 \)
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10. write a sequence of transformations to take δabc to δdec response:
First, dilate $\triangle ABC$ with center at point $C$ by a scale factor of $\frac{4}{3}$. Then, rotate the dilated triangle around point $C$ so that $\angle ACB$ (of the dilated …
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8. dilate abcd by scale factor of ½ and relabel the new points. 9. afte…
a. \(\boldsymbol{\frac{A'D'}{AD} = \frac{1}{2}}\), b. \(\boldsymbol{\frac{PC'}{PC} = \frac{1}{2}}\), c. Angle \( B \) and \( B' \) are congruent, f. \(\boldsymbol{\frac{PD'}{PD} =…
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an equilateral triangle has three sides of equal length. function p giv…
\( P(2)=\boldsymbol{6} \) \( P(10)=\boldsymbol{30} \) \( P(s)=\boldsymbol{3s} \)
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12 joshua is constructing a triangle with a circle inscribed in it. eac…
D. incenter
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jahzaira wanted to know the height of a flag pole in her neighborhood. …
The height of the flagpole is approximately \(\boldsymbol{10.77 \, \text{m}}\) (or if we consider the total distance as 15 feet converted to meters and recalculate, but based on t…
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6. solve for the missing side lengths given the following information o…
Length of \(OM\): \(\frac{70}{3}\) (or approximately \(23.33\)) Length of \(MN\): \(28\)
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question $\\overline{uv}$ is dilated by a scale factor of 4 to form $\\…
14
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the segment below is dilated by a scale factor of 6 to form \\(\\overli…
54
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question \\overline{no} is dilated by a scale factor of \\frac{1}{3} to…
5
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23 the net of a triangular prism is shown with dimensions in centimeter…
D. $840\ cm^2$ (assuming option D is the one with 840, as per the marked check in the image)
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look at the number line below. what point is marked on the number line?
\boxed{-1.2}
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given right triangle abc with altitude \\( \\overline{bd} \\) drawn to …
1
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dy guide 2. is tu || qr? explain your reasoning given: st = 4, tq = 12,…
To determine if \( TU\parallel QR \), we use the converse of the Basic Proportionality Theorem (Thales' theorem). 1. First, find the lengths of the relevant segments: - \( SQ=ST +…
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9. a part of a linear function h is graphed on the grid. complete the f…
9a. \(-4\) 9b. \(0\)
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1. is there enough information to prove that tu || qr? if so, sqr is a …
The scale factor is \( \boldsymbol{4} \).
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what is the y-intercept of this graph? (0,-2) (0,0) (0,1) (0
B. \((0,0)\) (assuming the second option is \((0,0)\) as per the formatting where the options are (0, - 2), (0,0), (0,1), etc.)
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7. which statement best describes the domain of the graph shown below? …
A. All real numbers less than 3
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look at the model shown. key x = yellow rectangle −x = red rectangle 1 …
B. \( -10 = 4x + 6; x = -4 \) (assuming the second option is labeled as B; if the options are numbered as 1,2,3,4, then the second option: \( -10 = 4x + 6; x = -4 \))
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consider the line $y = \\frac{2}{3}x + 2$. find the equation of the lin…
Equation of parallel line: \( y=\frac{2}{3}x+\frac{2}{3} \) Equation of perpendicular line: \( y = -\frac{3}{2}x-8 \)
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assignment and a negative constant term. complete the statements to exp…
First blank: 1 positive \(x\)-tile; Second blank: 12 negative unit tiles; Zero pairs needed: 3; Factorization: \((x + 4)(x - 3)\) (Note: The exact wording for the blanks may depen…
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19 m = 0 (5, 2)
The equation of the line is \( y = 2 \)
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9. the graph of relation t is shown. which of the following shows the g…
The graph with the blue curve (original relation) and the orange curve (its inverse) (the first option among the choices, showing two curves symmetric about \( y = x \)).
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word study final stable syllables a syllable is a unit of pronunciation…
Discipline: Arts, Subfield: Linguistics
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1. what article of the constitution deals with congress ( circle one)? …
1. 1 (Artículo I)
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solve for x. (there is a diagram with lines and angles: a transversal i…
\( x = 10 \)
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a pole that is 3.5 m tall casts a shadow that is 1.44 m long. at the sa…
111
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shelby is swimming laps at greengate pool. she starts in her lane at on…
The bottom - left graph (the third graph in the order, or the graph in the bottom - left corner)
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4. find the value of x. 127° 87° x° 127 = 87x
The value of \(x\) is \(40\).
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in the figure below, l || m. find x.
\( x = 93 \)
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suppose that p and q are points on the number line. if pq = 5 and q lie…
-7, -17
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the convex polygon below has 7 sides. find the value of x. the polygon …
\( x = 147 \)
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find the volume of an oblique cylinder with a base radius of 4 m and a …
\( 553 \, \text{cubic meters} \) (or \( 553 \, \text{m}^3 \))
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3. find the value of y.
\(y = 140^\circ\)
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use the compass and ruler to construct the perpendicular bisector of th…
The perpendicular bisector is constructed by following the steps of arc - drawing from A and B (with compass width > half of \( \overline{AB} \)) and then connecting the arc - int…
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the radius of a cylindrical water tank is 6.5 ft, and its height is 16 …
\( 2123\space ft^{3} \)
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calculate the distance between the points l = (-1, 5) and p = (2, -2) i…
\(\sqrt{58}\)
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the length of a rectangle is 4 more than the width. the area of the rec…
The equation using zero product property is \((w + 10)(w - 6)=0\), and the length of the rectangle is 10 yards.
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for the following right triangle, find the side length x. round your an…
\( 12.04 \)
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type the correct answer in the box. in triangle abc, which side is the …
AC
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select the correct answer. based on these segment lengths, which group …
B. 8, 7, 13
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the length of a rectangle is 4 more than the width. the area of the rec…
The length of the rectangle is 10 yards. The equation that represents the situation is \( w(w + 4)=60 \) (or \( w^{2}+4w-60 = 0 \)).
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select the correct answer. triangle abc is reflected across the y - axi…
C. The reflection preserves the side lengths and angles of triangle \(ABC\). The dilation preserves angles but not side lengths.
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16. $overline{cd}$ is the midsegment of trapezoid wxyz a solve for x b …
\( x=\frac{42}{5}=8.4 \) (or if the other base is \( 5x + 2 \), \( x = 6.5 \)). But based on the most probable midsegment formula application, if we assume the two bases are \( x …
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give the coordinates of the point obtained from each reflection. (a) re…
(a) \((4,-5)\) (b) \((-4,5)\)
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select the correct answer. how does the figure help verify the triangle…
D. by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side
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based on the given diagram, complete the sentence below. diagram of tri…
orthocenter; altitudes (completing the sentence: Point \( D \) is the orthocenter of \( \triangle ABC \) because \( \overline{AF} \), \( \overline{BG} \), and \( \overline{CE} \) …
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find m∠g. g e 4 6 f write your answer as an integer or as a decimal rou…
\( 56.31 \) (or if we round to a reasonable decimal place, it can also be presented as per the required precision. If we round to the nearest integer, it is \( 56 \), but the more…
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you are stopped at an intersection. before crossing traffic, you want t…
180 (the option with 180)
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find m∠u. s t 3 4 u write your answer as an integer or as a decimal rou…
\( 48.6^{\circ} \) (or \( 48.59^{\circ} \) or \( 49^{\circ} \) depending on the rounding requirement, but the most accurate decimal rounded to the nearest tenth is \( 48.6^{\circ}…
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find $m\\angle q$. write your answer as an integer or as a decimal roun…
\( 26.6^{\circ} \) (or \( 26.57^{\circ} \), or \( 27^{\circ} \) depending on the required rounding. If rounded to one decimal place, it is \( 26.6^{\circ} \))
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find m∠e. write your answer as an integer or as a decimal rounded to th…
\( 66.4 \)
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drag the image to the correct location. not all tiles will be used. tri…
The Middle Graph (the second triangle on the right, with vertices \( D \), \( E \) (horizontal), and \( F \) below \( DE \))
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select the correct answer from each drop - down menu. complete the defi…
For the rotation definition: "moves in a circular arc around a point" For the translation definition: "moves a specified distance along a line parallel to a specified line"
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select the correct answer from each drop - down menu. complete the defi…
For the rotation blank: is rotated around a fixed point For the translation blank: is moved (slid) without rotation
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y + 4 = -\\frac{2}{3}(x - 2)
The slope \( m =-\frac{2}{3}\) and the line passes through the point \( (2,-4) \) If the question was about converting to slope - intercept form:
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polygon abcd reflects about line mn to make polygon efgh. what is the l…
D. 2 units
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1. convert from degrees to radians. you can type pi for the symbol π. 1…
$\frac{8\pi}{9}$
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6. stephanie casts a shadow of 1.2 meters and she is 1.8 meters tall. a…
The height of the clock tower is 15 meters.
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use triangle abc to answer questions 1–2. 1. which side is opposite <c.…
$AB$ (or the side with length 4 in) ### Question 2
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select the correct answer. figure 1 has been transformed to produce fig…
C. \((x', y') = (x - 9, y + 2)\)
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complete the concept map by using the words from the choice box. magic …
- World's \boxed{longest} river - \boxed{fertile} soil - \boxed{Nile River} (connected to fertile) - Book of the \boxed{Dead} - rules about \boxed{moral} behavior and \boxed{provi…