Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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a sequence of transformations is described below. - a horizontal stretc…
A. Angle measures only
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course challenge an airplane takeoff, levels off, and lands according t…
\( 13.3 \)
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bc = \\boxed{\\space} round your answer to the nearest hundredth. right…
\(4.92\)
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2 construct \\(\\overline{be}\\) perpendicular to \\(\\overleftrightarr…
\( BE \)
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quadrilaterals hijk and abcd are congruent. the side length of each squ…
C. Both
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point a is at (2, 6) and point b is at (-5, -7.5). if point m = (1 - t)…
\( 1 \)
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point ( a ) is the image of point ( a ) under a rotation about the orig…
A. \( 90^\circ \) clockwise, E. \( 270^\circ \) counterclockwise
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find the area. 8 in 8 in 8 in 12 in area of □ = ? in² area of △ = in² r…
Area of \( \square = 64 \) in² Area of \( \triangle = 48 \) in² Area of Figure = \( 112 \) in²
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find the area. 6 in 6 in 8 in 12 in 10 in area of □ = ? in² area of △ =…
Area of \( \square = 36 \) \( \text{in}^2 \) Area of \( \triangle = 48 \) \( \text{in}^2 \) Area of Figure = \( 84 \) \( \text{in}^2 \)
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find the perimeter and area of this figure. p = ? units a = units²
Perimeter \(P = 18\) units, Area \(A=14\) square units. Wait, but let's re - check the coordinates. The top - left point is \((1,6)\), top - right is \((8,6)\), bottom - left is \…
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find the area. 22 cm a = ? cm² a = πr²
\( 379.94 \)
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find the area 8 in a = ? in² a = πr² use π = 3.14
\( 200.96 \)
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find the circumference. 12 ft c = ? ft c = πd = 2πr use π = 3.14
37.68
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find the circumference. 5 cm c = ? cm c = πd = 2πr use π = 3.14
\( 31.4 \)
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find the area. (image of a triangle with base 18 ft and height 10 ft) a…
90
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find the perimeter. 26 cm 34 cm 40 cm p = ? cm
\( 100 \)
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find the perimeter. 24 in 24 in 16 in p = ? in
\( 64 \)
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find the area. 56 cm 16 cm a = ? cm²
\( 896 \)
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find the area. 27 cm 12 cm a = ? cm²
\( 324 \)
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triangle m is the image of triangle m under a dilation. what is the cen…
B. \( B \)
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find the perimeter. 56 in 35 in p = ? in
182
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one line passes through the points $(-7, 5)$ and $(-1, -3)$. another li…
A. Parallel
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find the perimeter. 7 m 4 m p = ? m
\( 22 \)
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find the distance, d, of \\(\\overline{ab}\\).\\(a = (-7, 9)\\) \\(b = …
\( 6.3 \)
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segment \\(\\overline{ab}\\) is the result of reflecting \\(\\overline{…
A. \(\overline{AB}\) and \(\overline{A'B'}\) have the same lengths.
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3 construct \\(\\overline{cf}\\) perpendicular to \\(\\overleftrightarr…
### Step-by-Step Explanation: #### Step 1: Analyze Statement 5 The right - hand side explanation for statement 5 says "Any point on one parallel line is equidistant from the other…
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find the midpoint, m, of \\(\\overline{ab}\\). \\(a = (2, 5)\\) \\(b = …
\( M = (-2,1) \)
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what does the following notation describe? \\(\\overline{ab} \\cong \\o…
B. two congruent segments
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what does the following notation describe? \\overline{ab} \\parallel \\…
A. two parallel segments
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if $\\angle tuv$ and $\\angle pqr$ are complementary, and $m\\angle tuv…
\(27\)
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if $\\angle abc$ and $\\angle def$ are a linear pair, and $m\\angle abc…
\(85\)
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what is the center of the circle? choose 1 answer: a (-3,0) b (-1,-4) c…
B. \((-1, -4)\) ### Second Question: Radius of the Circle
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eric, cam, and brooke are playing mini golf on a computer. the game sto…
\(9.8\)
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what solid 3d object is produced by rotating the semicircle 360° about …
A. A sphere with radius 5 units
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course challenge google classroom microsoft teams a circle has a radius…
If in terms of \( \pi \): \( \frac{32\pi}{5} \) (or \( 6.4\pi \)); if as a decimal (using \( \pi = 3.14 \)): \( 20.096 \)
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diameters of circle p. what is the arc measure of major arc \\(\\overar…
# Explanation: ## Step1: Sum of angles at center is 360° The sum of all central angles in a circle is \( 360^\circ \). So, we have the equation: \( (4w + 8) + (4w + 4) + (2w + 11)…
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use one of the triangles to approximate the ratio $\frac{kl}{jl}$. choo…
\( 0.83 \) (Option C)
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what is the volume of a cylinder with base radius 3 and height 6? eithe…
If in terms of \( \pi \), the answer is \( 54\pi \); if using \( 3.14 \) for \( \pi \), the answer is \( 169.56 \)
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below is the proof that $de = \\frac{1}{2}cb$. the proof is divided int…
Step 12: \(\frac{CA}{DA}\) (or the ratio from the similar triangle's corresponding sides, which is equal to 2 from Part A) Step 13: \(2\) Step 14: \(\frac{DE}{2}\) (the expression…
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in the right triangle shown, m∠v = 60° and uv = 18. how long is uw? cho…
D. \( 9\sqrt{3} \)
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amazing, a 4 week streak... expressions. $\\angle a = 6x - 2^\\circ$ $\…
\(148\)
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the triangle shown below has an area of 10 units². find the missing len…
5
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step statement reason 1 ( mangle mnp = mangle mpn = 65^circ ) given 2 c…
A. \( m\angle MPN \) was not given.
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which of the following points lies on the line $y = x$? a. $(-4, -4)$ b…
A. \((-4,-4)\)
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find the area. 40 m 16 m a = ? m²
\( 640 \)
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use the information given in the diagram of △ghi to find the missing me…
\( m\angle G = \boxed{51}^\circ \) For \( HI \) and \( GH \), we need more precise calculation, but based on the dropdown, \( m\angle G = 51^\circ \).
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what is the length of the missing leg? if necessary, round to the neare…
\(4.4\)
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note: the triangles are not drawn to scale. are the two triangles congr…
A. Yes
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what do the following two equations represent? - $y - 2 = x + 20$ - $y …
C. Perpendicular lines
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pentagon abcde is the image of pentagon abcde under a dilation with a s…
4
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a sequence of transformations is described below. - a rotation about a …
C. Both angle measures and segment lengths
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kayla wants to prove the pythagorean theorem: if a triangle is a right …
C. In $\triangle ABC$, if $\angle B = 90^{\circ}$, then $AB^{2}+BC^{2}=AC^{2}$.
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find a simplified expression to represent the area of the triangle. the…
First box: 4, Second box: 22, Third box: - 12
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the perimeter formula for a rectangle is 2l + 2w, where l is the length…
1. \( 2(8x - 1) + 2(2x + 4) \) 2. \( 16x - 2 + 4x + 8 \) 3. \( 20x + 6 \)
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nc math 1—released items 2 in which graph does the shaded region repres…
A
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what is the corresponding point for t? t ( -2, -4 )
\( (2, -4) \)
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use the information given in the diagram of △ghi to find the missing me…
HI = 23.3 GH = 18.9
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consider △dfe. what are the inputs or outputs of the following trigonom…
For \( \cos(F) \), the value is \( \frac{3}{5} \); for \( \tan(D) \), the value is \( \frac{3}{5} \). Wait but the user's screenshot shows that tan(D) was marked wrong with 4/5, c…
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select all of the correct statements about the unchanged properties of …
A. $\angle C$ and $\angle C'$ have the same measures. B. The areas of quadrilateral $ABCD$ and quadrilateral $A'B'C'D'$ are the same. C. The perimeters of quadrilateral $ABCD$ and…
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you might need: calculator bc = round your answer to the nearest hundre…
\(5.87\)
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the triangle shown below has an area of 25 units². find the missing len…
\( x = 5 \) units
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complete the proof that (overleftrightarrow{ab} parallel overleftrighta…
FG = AE
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complete the proof that \\overleftrightarrow{ab} \\parallel \\overleftr…
Step 3: \( DE = GF \) Step 5: \( \angle ADE\cong\angle CGF \)
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in the figure below, \\( \\overline{ab} \\) is a diameter of circle \\(…
\( 111 \)
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plot the image of quadrilateral abcd under a reflection across the y-ax…
The reflected quadrilateral \(A'B'C'D'\) has vertices at \(A'(-2,-3)\), \(B'(-3,-6)\), \(C'(-5,-4)\) and \(D'(-4,-2)\) (and should be plotted on the coordinate plane by marking th…
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quadrilateral abcd is the image of quadrilateral abcd under a dilation …
12
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gabriel used the following theorem: when a transversal crosses parallel…
- \( m\angle x = \boldsymbol{102}^\circ \) - \( m\angle y = \boldsymbol{102}^\circ \) - \( m\angle z = \boldsymbol{78}^\circ \)
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you might need: calculator a certain circle can be represented by the f…
The center of the circle is \((-2,9)\) and the radius is \(2\) units. For the center: \((-2, 9)\) For the radius: \(2\)
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there is exactly 1 pair of parallel sides in the following shape. image…
35
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kyra tried to use cavalieri’s principle to show that the two figures ha…
C. She did not establish that the heights are the same.
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you might need: calculators a flagpole broke in a storm. 7 meters are s…
32
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ac = round your answer to the nearest hundredth. right triangle abc wit…
\(3.06\)
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what is the measure of $\\angle deg$ on circle $o$? (there is a circle …
$\boxed{40}$
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what solid 3d object is produced by rotating the quarter-circle 360° ab…
C. A hemisphere with radius 10 units
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select the appropriate rephrased statement for weis proof. choose 1 ans…
B. In \( \triangle PQR \), if \( PS = SQ \) and \( PT = TR \), then \( \overline{ST} \parallel \overline{QR} \)
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cody noticed that $\\triangle uwv \\cong \\triangle yvw$ using the hypo…
A. When a transversal crosses parallel lines, alternate interior angles are congruent.
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determine the angles of rotation. choose all answers that apply: a $90^…
B. \(90^\circ\) counterclockwise, D. \(270^\circ\) clockwise
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triangle j is shown below. james drew a scaled version of triangle j us…
96
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what a hot streak, a 4 ... scale factor is \\(\frac{3}{2}\\) which figu…
A. The figure in option A (with \( A' \), \( B' \), \( C' \) forming a larger triangle around \( \triangle ABC \) relative to \( P \))
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triangle $\\triangle abc$ is the result of rotating $\\triangle abc$ by…
A. \( A \) and \( A' \) have the same coordinates. B. The perimeters of \( \triangle ABC \) and \( \triangle A'B'C' \) are the same. C. \( \angle C \) and \( \angle C' \) have the…
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what a hot streak, a 4 win streak 4 quadrilateral abcd is the result of…
False ### Second Claim: $\boldsymbol{\overline{AB}}$ and $\boldsymbol{\overline{A'B'}}$ are on distinct parallel lines.
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triangle abc has the following vertices: • a(7, -2) • b(-1, -8) • c(5, …
A. Yes, because \(AB = BC\).
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draw the image of $\\triangle abc$ under a translation by 1 unit to the…
To draw the image of \( \triangle ABC \) under translation 1 unit left and 5 units up, follow these steps: 1. Determine the coordinates of vertices \( A \), \( B \), and \( C \) o…
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find the approximate perimeter of △abc plotted below. a(2,7), c(6,7), b…
D. 29.8
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the following figures all have the same height and same base area. for …
A. Only A and B
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in the figure below, \\(\\overline{ac}\\) and \\(\\overline{bd}\\) are …
\( 33 \)
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in the right triangle shown, m∠y = 30° and xy = 6. how long is yz? choo…
B. \( 4\sqrt{3} \)
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a certain circle can be represented by the following equation. $x^2 + y…
The center of the circle is \((-6,-2)\) and the radius is \(5\) units.
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a certain mapping in the xy-plane has the following properties: - every…
A. A translation
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segments \\(\\overline{ab}\\) and \\(\\overline{cd}\\) coincide. vinay …
A. The segments are mapped onto each other, so they are congruent.
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this oblique circular cone has a radius of 5 m and a height of 6 m. wha…
\( 50\pi \)
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in the diagram below, \\(\\overrightarrow{ol}\\) is perpendicular to \\…
\( \approx 8.19 \)
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which two of the objects shown below could we slice diagonal to their b…
A. Cone, C. Cylinder
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line ( \boldsymbol{ell} ) is the perpendicular bisector of segment ( ov…
C. A point on the perpendicular bisector of a line segment is equidistant from the segment’s endpoints.
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ana tried to prove that an exterior triangle angle measure equals the s…
A. \( m\angle1 + m\angle2 + m\angle3 = 180^\circ \) was not given.
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vera wants to prove that any rectangle is also a parallelogram. select …
B. In quadrilateral \(ABCD\), if \(m\angle A = m\angle B = m\angle C = m\angle D = 90^\circ\), then \(\overline{AB} \parallel \overline{DC}\) and \(\overline{AD} \parallel \overli…
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a circle has a circumference of 20. it has an arc of length 4. what is …
72
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the anderson family needs gas. if they visit the historic landmark on t…
7
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what is the length of the hypotenuse? if necessary, round to the neares…
5.5
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in the figure below, \\(\\overline{ab}\\) is a diameter of circle \\(p\…
\( 43 \)