Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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what is the volume of a watering can? select the better estimate. 8 mil…
8 liters
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which pairs of triangles are similar? check all that apply. □ △abc ~ △d…
$\triangle DEF\sim\triangle GHI$, $\triangle JKL\sim\triangle ABC$ (the corresponding checkboxes are $\triangle DEF\sim\triangle GHI$ and $\triangle JKL\sim\triangle ABC$)
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the area of a rectangle is 52 yd², and the length of the rectangle is 5…
Length: \( 8 \) yd Width: \( 6.5 \) yd
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solving a polynomial inequality given a graph consider the following qu…
The number line with closed circles (filled dots) at \(-3\) (or the left closed point) and \(7\) (or the right closed point) and the line segment between them shaded (the second o…
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click \start\ and measure the diameter of the blue circle by dragging i…
2.50 (assuming the measurement is 2.50 cm; actual measurement may vary based on the exact alignment, but the key is using the lower ruler with 0.1 cm precision and reporting to tw…
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notes: identifying and interpreting transform... - ____ a point ((x,y))…
Translating ### Second Blank:
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what value of x will make the triangles similar by the sss similarity t…
28
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8 challenge huan is redesigning his bedroom, which is the shape of a re…
The possible whole - number dimension pairs (length, width) in feet are: \((1, 180)\), \((2, 90)\), \((3, 60)\), \((4, 45)\), \((5, 36)\), \((6, 30)\), \((9, 20)\), \((10, 18)\), …
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guided notes: identifying and interpreting transform... the transformat…
reflection ### 2. Second blank (transformation that changes size but maintains proportions)
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7) rectangle with 40 (top), 30 (side); another rectangle with 36 (sides…
Let's solve problem 9 first (since it's about similar triangles, we can use the property of similar triangles: corresponding sides are proportional). ### Problem 9: $\triangle LMN…
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how long is a rowboat? select the best estimate. 3 kilometers 3 millime…
3 meters
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add. (\frac{2}{5} + \frac{4}{10} = square) use the model to help you. i…
\(\frac{4}{5}\) (or \(\frac{8}{10}\) but simplified is \(\frac{4}{5}\))
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r(-2, 4) p(4, 4) q(-2, 0) t(-1, -2) u(-1, -4) s(2, -4) complete the sta…
\( \frac{QR}{TU}=\boldsymbol{2} \), \( \frac{PR}{SU}=\boldsymbol{2} \), \( \frac{PQ}{ST}=\boldsymbol{2} \), and \( \triangle PQR \sim \triangle STU \) by the \(\boldsymbol{SSS\ si…
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spiral: keeping it fresh! **#5.) line p ⊥ line m and has the equation 4…
The equation of line \(m\) is \(y =-\frac{3}{2}x-3\) (For graphing: Plot the y - intercept \((0,-3)\), then use slope \(-\frac{3}{2}\) (down 3, right 2 or up 3, left 2) to find an…
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25 geometry b wwva ng for angle measures of right triangles which equat…
\( \sin (x) = \frac{10}{10.3} \) (the third option among the given options, assuming the options are presented in the order: first \( \tan(x)=\frac{10}{2.4} \), second \( \sin(x)=…
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which statement best describes triangles uvw and xyz? ○ they are simila…
They are similar, but not congruent.
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m∠abd = 86°. find m∠abc
\(121^\circ\)
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can the triangles be proven similar using the sss or sas similarity the…
Yes, $\triangle EFG \sim \triangle KLM$ by SSS or SAS.
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e value of n.
\( n = 8 \)
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m is the midpoint of (overline{ln}). (lm = 2x - 2) (mn = x + 18) find (…
\( 76 \)
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olve for the value of z.
\(z = 7\)
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the length of the hypotenuse, line segment ac, in right triangle abc is…
\(53.1^\circ\)
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geometry homework 1.01: swbat define the types of lines and label and w…
$\overline{YZ}$ ### 1b. Rays with endpoint $\boldsymbol{V}$
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a triangle has two angles that measure 50° and 60°. which side in the t…
The side opposite the third angle.
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given: 3ab = 7ad and 3ac = 7ae prove: δabc ~ δade complete the steps of…
division property For step 8:
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km bisects ∠jkl. find m∠jkl (diagram: point k with rays kj, km, kl; ∠jk…
\(144^\circ\)
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given a triangle with angle measures of 40° and 70°, which is the measu…
70° (corresponding to the option with 70°)
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km bisects ∠jkl. find m∠jkl.
\( 156^\circ \)
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find the length to three significant digits of the arc intercepted by a…
\( 13.1 \)
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convert the degree measure to radians -38.42° -38.42° ≈ □ radians (type…
\( -0.671 \)
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ray eg bisects ∠def. find m∠def (diagram shows ∠deg = 74°)
\( 148^\circ \)
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comparing angles of elevation and depression a weather balloon is 529 m…
The three correct statements (assuming a possible error in my \( v \) analysis or diagram interpretation) are: - \( \boldsymbol{x > y} \) (since \(\tan x=\frac{529}{229}>\tan y=\f…
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14. describe the translation that moves every point of a preimage 4 uni…
For a point \((x,y)\) in the pre - image, the translation is given by \((x,y)\to(x - 4,y + 6)\) (or the translation vector is \(\langle- 4,6 angle\), meaning 4 units left and 6 un…
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convert the angle in radians to degrees. -8π -8π = □°
\( -1440 \)
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14.2 four special (demonstrative and relative pronouns) - practice 1 de…
(these) D 2. **Step 1**: Identify the pronoun: "whom". **Step 2**: Determine type (relative, as it introduces a subordinate clause about the painter).
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convert the following radian measure to degree measure. (-\frac{7pi}{6}…
\(-210\)
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write the coordinates of the vertices after a reflection over the x-axi…
\( B'(-2, 2) \) \( C'(4, 2) \) \( D'(-6, 7) \)
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what percentage of the shape is orange? write your answer using a perce…
95%
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explore the area of sectors of circles by following these steps. 1. wha…
The area of circle C is \( 9\pi \) (or approximately \( 28.27 \)).
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explore the relationship between the radius and area of a circle by fol…
\((r)(\pi r)\) (which simplifies to \(\pi r^{2}\), and the option corresponding to this calculation is \((r)(\pi r)\))
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{54}{91}$
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find the distance between point g and point h.
6
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look at this shape: image of a trapezoid on a grid which image shows a …
B
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look at this shape: image of a trapezoid on a grid which image shows a …
A. The image labeled A
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jazlyn owns an indoor trampoline park. the scale drawing shows a new tr…
Actual length = \(12\) ft Actual width = \(6\) ft
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use the figure to complete each part. (a) name the vertex of ∠1. (b) na…
\( F \) ### Part (b)
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for the following right triangle, find the side length x. round your an…
\( 13.60 \)
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find the area of the shaded shape. 1 unit 1 unit square units
8
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solve for x. round to the nearest tenth, if necessary.
\( 39.1 \)
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measuring segments use the interactive ruler to determine the lengths o…
Segment AB measures 2 units. Segment BD measures 6 units. Segment BC measures 3 units.
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if quadrilateral pqrs is a kite, which statements must be true? select …
The three true statements are: - \( \overline{QP} \cong \overline{QR} \) - \( \overline{PM} \cong \overline{MR} \) - \( \angle QPS \cong \angle QRS \) (Note: If the kite is a rhom…
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the figure below has a point marked with a large dot. first, reflect th…
Point in original figure: \((2, 3)\) Point in final figure: \((2, - 3)\) (Note: The actual coordinates may vary depending on the exact position of the marked point in the graph. I…
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multiple choice identify the choice that best completes the statement o…
a. $29.7^{\circ}$ ### Question 2
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5) rotation 180° about the origin
The coordinates of the rotated points are \( U'(3, - 1) \), \( T'(0,1) \), and \( V'(2,4) \). The rotated triangle is formed by these points. (If the question was to find the coor…
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in the figure below, ( l parallel m ). find ( x ).
\( 113 \)
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given: ( mangle aeb = 45^circ ) ( angle aec ) is a right angle. prove: …
angle addition postulate
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reflect the triangle across the dashed line and enter the new coordinat…
-1
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a flashlight is projecting a triangle onto a wall, as shown below. the …
24
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the square on the right is a scaled copy of the square on the left. ide…
\( 4 \)
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the right triangle on the right is a scaled copy of the right triangle …
3
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find the following measurements of the triangle shown. base = \\(\\squa…
base = 4 units, height = 6 units (assuming each grid square is 1 unit; actual values may vary based on grid size, but typical grid problems have each square as 1 unit, so base is …
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name the marked angle in 2 different ways. w u v answer attempt 1 out o…
\( \angle UVW \), \( \angle V \)
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find the distance between the two points rounding to the nearest tenth …
\( 8.5 \)
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express tan n as a fraction in simplest terms.
\(\frac{\sqrt{71}}{5}\)
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look at this diagram: if $\\overleftrightarrow{km}$ and $\\overleftrigh…
\(132\)
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convert the angle θ = \\frac{3π}{5} radians to degrees. express your an…
\( 108 \)
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3. use the diagram to the right to name the following. a) three coplana…
\( V \), \( W \), \( X \) (other valid combinations like \( V \), \( W \), \( Y \) are also correct) ### Part (b)
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for the figure below, give the following. (a) one pair of angles that f…
s: (a) Linear pair: \(\angle 1\) and \(\angle 2\) (other valid pairs: \(\angle 5\) and \(\angle 6\), \(\angle 3\) and \(\angle 4\), \(\angle 7\) and \(\angle 8\), \(\angle 2\) and…
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a student is standing 20 feet away from the base of a tree. he looks to…
29 feet
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name the marked angle in 2 different ways. answer attempt 1 out of 2 ∠ …
\( \angle DFE \), \( \angle F \)
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two parallel lines are crossed by a transversal. what is the value of x…
\( x = 110 \) (corresponding to the option \( x = 110 \))
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which number line represents the solution set for the inequality 3(8 − …
The second number line (the one with an open circle at 3 and the blue arrow pointing to the right, passing through 4, 5, etc.)
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progress the movement of the progress bar may be uneven because questio…
# Explanation: ## Step1: Analyze the polygon (rectangle + right triangle) The polygon is a combination of a rectangle (length 16 ft, width 16 ft? Wait, no, the rectangle has lengt…
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what triangle is formed by the points (3,2), (4,7), and (5,6)? triangle…
triangle A
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4) rotation 90° clockwise about the origin
To solve the problem of rotating triangle \( FGH \) \( 90^\circ \) clockwise about the origin, we first need to determine the coordinates of the vertices \( F \), \( G \), and \( …
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name the plane that is highlighted in the diagram below. answer attempt…
Plane OSV (or other valid combinations like Plane OSR, Plane OVR, Plane SVR)
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name the plane that is highlighted in the diagram below.
Plane FJMI (or other valid combinations like Plane FIMJ, Plane JFMI, Plane JMI F, Plane MIJF, Plane IMF J)
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the following figure is a rectangle made up of two smaller rectangles. …
s: (a) Light rectangle: \(\boldsymbol{15}\); Dark rectangle: \(\boldsymbol{3x}\) (b) Sum of two areas: \(\boldsymbol{15 + 3x}\); Product of length and width: \(\boldsymbol{3(5 + x…
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q is a point on segment \\( \\overline{pr} \\). if \\( pq = x + 8 \\), …
11
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this image has rotational symmetry. what is the smallest number of degr…
\(60\)
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name the figure below in two different ways.
$\overleftrightarrow{ES}$ and $\overleftrightarrow{SE}$
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find the distance between the two points rounding to the nearest tenth …
5
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in the figure, $overrightarrow{ba}$ and $overrightarrow{bc}$ are opposi…
\( 16 \)
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(2, -1) (-2, 3)
The slope is \(-1\)
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graph the image of △tuv after a reflection over the x-axis.
The image of \( \triangle TUV \) after reflection over the \( x \)-axis has vertices at \( V'(0, -8) \), \( U'(8, -10) \), and \( T'(8, -5) \). (To graph, plot these points and co…
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the movement of the progress bar may be uneven because questions can be…
B. 320 yards
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making predictions with transformations quick check which transformatio…
a. a 180-degree rotation
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on the following unit circle, θ is in radians. without a calculator, ev…
\(\sin(\pi - \theta)=\boldsymbol{0.84}\) \(\sin(\pi + \theta)=\boldsymbol{-0.84}\)
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line segment wx is the radius of circle x, and line segment zy is the r…
First, find the length of WZ. The diameter of circle X is 8 (so radius 4), and the diameter of circle Y is 20 (since radius ZY is 10, diameter is 20). Wait, actually, WX is radius…
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question find the length of the third side. if necessary, write in simp…
10
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jazlyn owns an indoor trampoline park. the scale drawing shows a new tr…
\(3\)
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what is the distance between point c and point d? 2 units which express…
\(|-4|-|-2|\)
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what is the distance between point c and point d? units (coordinate gri…
2
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what is the distance between point r and point t? units r (-4,3) t (-2,…
2
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what is the distance between point j and point k? 3 units which express…
\(|-2| + |1|\)
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what is the distance between point j and point k? units j (-2, -3) k (1…
3
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what is the distance between point p and point q? 7 units distance is a…
\(|4|+|-3|\)
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distance is always represented by a positive value or 0. look at the di…
7
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point f and point g are on the same side of the x-axis. what is the dis…
6
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what is the distance between point f and the origin? 8 units. what is t…
\(y\) - coordinate