Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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what is the volume? 14 cm 14 cm 15 cm cubic centimeters
$1470$
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jillian wants to construct a circle which passes through all the vertic…
B. Jillian should have found the intersection of two perpendicular bisectors of triangle QRS instead of two altitudes.
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name: quiz: parallel lines cut by transversal date: directions: fill in…
For problem 4: \(x = 26\) For problem 5: \(x = 28\) For problem 6: \(x = 25\)
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tyler has written an incorrect proof to show that quadrilateral abcd is…
The mistake is using Side - Angle - Side (SAS) triangle congruence theorem incorrectly as the given angle is not the included angle between the two given sides when trying to prov…
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math 2 unit 6 - triangles & congruence lesson 1 - congruent triangles &…
1. \(\triangle ACR\cong\triangle EGO\) 2. Angles: \(\angle E\cong\angle H\), \(\angle F\cong\angle G\), \(\angle G\cong\angle F\); Sides: \(EF\cong HG\), \(FG\cong GF\), \(EG\cong…
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a transformation that does not change the size or shape of a pre - imag…
isometry
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the sides of a triangle measure 13 cm, 26 cm, and 15 cm. find its area.…
67.4
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name: date: quiz: parallel lines cut by transversal directions: fill in…
1. No variable solution. Angle values: 138 degrees and 42 degrees for related angles. 2. \(x = 23\) 3. \(x = 27\)
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transformations unit test in 3 - 5 sentences, summarize the rotations t…
Rotations of 72°, 144°, 216°, 288° and 360° about the center of a regular pentagon carry it onto itself.
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name: date: quiz: parallel lines cut by transversal directions: fill in…
The angles are either 138° or 42°. There is no variable given to solve for.
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identify the smallest angle of rotation that maps the image to itself. …
\(72^{\circ}\)
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what composition transformation rule has △lmn, l(1,1), m(7,2), and n(5,…
a reflection across the y - axis and a move to the right by 3 and down by 2
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reflect over the x then reflect over the y. translate 4 units then rota…
Reflect over the x then reflect over the y
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(x, y) -----> (-x, -y) is a rotation of 180 degrees. false true 16/30
True
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which explanation for the congruency of the trapezoids is correct? stat…
Statement #4
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(x, y) -----> (x, -y) is a reflection over the x - axis. true false 15/…
True
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rotation translation dilation reflection which transformation changes t…
Rotation
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(x, y) -----> (-y, -x) is a rotation of 90 degrees counterclockwise. fa…
False
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a double reflection of a preimage across perpendicular lines produce th…
180 - degree rotation.
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what type of transformation can map △abc → △abc? (1 point) no rigid tra…
a reflection
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12/30. (x,y) -----> (-x, -y) is a reflection over the y = x axis. false…
False
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if the quadrilateral is translated 4 units to the left and 5 units down…
We need the original coordinates of point A to give an exact answer. But if we assume the original coordinates of point A are $(3,4)$, the new coordinates are $(-1,-1)$.
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use the image to answer the question. a circle measures 360 degrees. if…
150 degrees
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(x, y) -------> (x, -y) is a reflection over the x axis. true false 10/…
True
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lindsey solves the equation 4x = 2(\\frac{1}{2}x + 9), where x represen…
There is one solution because the perimeters are only equal for one value of \(x\).
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transformations transformations unit test image long description comple…
The lines of reflection are \(x = 1\) and \(y=2\)
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4 units right 4 units down 4 units up 4 units left when you translate, …
4 units left
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point (-5,2) is reflected over the y - axis. where is the new point loc…
$(5,2)$
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(x, y) -----> (-y, -x) is a rotation of 90 degrees counterclockwise. fa…
False
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provide two different degrees of rotation less than 150° but greater th…
72, 144
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a(-2,2) and b(3,2) rotate 180 degrees a(-2,2), b(3,2) a(2,-2), b(-3,-2)…
A' (2, - 2), B' (-3, - 2)
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which transformation is not a rigid transformation? reflection, transla…
Dilation
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how many lines of symmetry are in the figure?
3
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solve for f and graph the solution. 2f - 11 ≤ 5 or f - 8 ≥ 7. plot the …
The solution is \(f\leq8\) or \(f\geq15\). On a number - line, for \(f\leq8\), we have a ray starting from 8 and going to the left (with a closed circle at 8 if the inequality is …
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a figure is rotated 90 degrees counterclockwise about the origin. which…
Option #2: $(x,y)\to(-y,x)$
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given m||n, find the value of x. answer attempt 1 out of 2 x =
# Explicación: ## Paso 1: Identificar el tipo de ángulos Los ángulos $(5x + 5)^{\circ}$ y $(3x+15)^{\circ}$ son ángulos alternos internos. Dado que $m\parallel n$, los ángulos alt…
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for the figure below, give the following. (a) one pair of angles that f…
(a) $\angle1$ and $\angle2$ (b) $\angle1$ and $\angle3$ (c) $\angle5$ and $\angle6$
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a quadrilateral with vertices g(-10,1), e(-6,-4), o(2,0), and m(0,4) is…
$M'(4,0)$
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the point q(-5, -9) is rotated -270° about the origin. select the locat…
A. $Q'(9,-5)$
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the point p (-1,2) is rotated to become p (2,1). describe the rotation …
C. $-90^{\circ}$ rotation
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5. a) verify that the altitude from vertex j bisects side kl in the tri…
a) The altitude from vertex J bisects side KL. b) $\triangle{JKL}$ is an isosceles triangle.
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question 10 of 10 what is the area of the polygon given below? a. 580 s…
D. 525 square units
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test solve each triangle. round your answers to the nearest tenth. 1) (…
For the first triangle: $m\angle C = 25^{\circ}$, $b\approx22.3$, $c\approx25.8$ For the second triangle: $m\angle B\approx31.3^{\circ}$, $m\angle C\approx25.7^{\circ}$, $b\approx…
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the diagram below shows a square inside a regular octagon. the apothem …
B. 647 square units
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question 8 of 10 the diagram below shows a rectangle inside a regular h…
D. 861 square units
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15 find the volume $v = \\pi r^{2}h$: a $8000\\ cm^{3}$ b $6283\\ cm^{3…
B. $6283$ $cm^{3}$
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question 7 of 10 what is the formula for finding the area of a regular …
B. $A=\frac{1}{2}(Pa)$
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write the standard form of the equation of the circle with radius r and…
D. \((x - 6)^2+(y - 7)^2=144\)
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question 6 of 10 to the nearest square unit, what is the area of the be…
A. 1170 square units
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question 5 of 10 what is the area of the polygon given below? a. 296 sq…
A. 296 square units
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question 4 of 10 to the nearest square unit, what is the area of the be…
A. 1783 square units
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question 3 of 10 the area of a regular pentagon can be found by breakin…
A. True
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question 2 of 10 what is the perimeter of the octagon below? a. 63 unit…
A. 63 units
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question 1 of 10 what is the special name for the segment that connects…
E. Apothem
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18. the answer your client gives when you ask about the last time they …
F 19.
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question 10 of 10 what is the area of the triangle given below? a. 38 s…
C. 35 sq. units
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question 9 of 10 what is the area of the obtuse triangle given below? a…
B. 64 sq. units
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13 if the volume of the fish tank is 1280³, the length is 16\, and the …
B. 10
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solve the problem. 4) the area of a circle is found by the equation a =…
C. 9 cm
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question 8 of 10 the area of the rectangle below is ____ sq. units. a. …
A. 68
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question 7 of 10 what is the area of the obtuse triangle given below? a…
B. 104.5 sq. units
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en el círculo n, \\(\\overline{qr}\\cong\\overline{vt}\\), \\(m\\wideha…
Parte A: 160 Parte B: 23
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question 6 of 10 the area of the triangle below is ____ sq. units. a. 8…
B. 40
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question 5 of 10 what is the area of the triangle below? a. 25 sq. unit…
C. 68 sq. units
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question 4 of 10 what is the area of the triangle given below? a. 11 sq…
A. 11 sq. units
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the coordinate point q (0, 10) is reflected over the y - axis. identify…
$(0,10)$
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question 3 of 10 which best describes the area of a polygon? a. the num…
C. The number of square units contained in the interior
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complete the truth - tables below. 16. ~p ∨ ~q 18. p ∧ ~r use the condi…
It is January ### 18
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question 2 of 10 the area of a triangle is 24 sq. inches. if the base i…
A. 8 inches
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for △fun, x = -1. what are the coordinates for f after a reflection? (1…
$F'(3,5)$
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remember to show your thinking with your work. minimum setup of problem…
$m\angle2 = 83^{\circ}$
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question 1 of 10 what is the area of the rectangle below? 8 15 a. 46 sq…
C. 120 sq. units
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1. select the correct set - up to the problem 2. solve for x 3. find th…
1. Set equation: $x + 5+x - 9=180$ 2. Solve for $x$: $92$ 3. Measure of angle DFG: $97$
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question 9 of 10 is the following shape a rectangle? how do you know? a…
B. No, the adjacent sides are not perpendicular.
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triangle pqr is reflected over a vertical line of reflection to create …
$(-3,1)$
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question 1 of 10 what is the slope formula? a. $\frac{x_2 + x_1}{y_2 + …
C. $\frac{y_2 - y_1}{x_2 - x_1}$
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question 7 of 10 give the coordinates of point a.
B. (-1, 3)
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question 7 of 10 give the coordinates of point a.
B. (-1, 3)
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a point is translated on the coordinate plane from (4, -1) to (4, 2). j…
3
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question 3 of 10 is the following shape a right triangle? how do you kn…
A. Yes, two sides are perpendicular, and the side lengths fit the Pythagorean theorem.
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se muestra un triángulo recto. 9.7 unidades 41.6°? un cateto del triáng…
C. 8.61
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question 2 of 10 what is the polygon being rotated to create the blue q…
C. Triangle
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question 2 of 10 what is the polygon being rotated to create the blue q…
C. Triangle
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use the image to answer the question. a = (-5,4) b = (-1,4) c = (-5,1) …
$(-9,4)$
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what kind of translation has been done to quadrilateral abcd? (1 point)…
9 units to the right and 3 units down.
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barnard uses a compass to construct the bisector of an angle. what is t…
Connect the vertex of the angle A to point D with a straightedge.
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question 10 of 10 is the following shape a right triangle? how do you k…
C. Yes, two sides are perpendicular, and the side lengths fit the Pythagorean theorem.
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question 9 of 10 what is the polygon being rotated to create the blue q…
C. Triangle
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question 8 of 10 how do you know if two line segments are perpendicular…
C. Their slopes are negative reciprocals.
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question 7 of 10 give the coordinates of point a. a. (-1, -3) b. (-3, -…
D. (-1, 3)
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question 6 of 10 what is the distance formula? a. $sqrt{(x_2 + x_1)^2-(…
D. $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
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question 5 of 10 how do you know if two line segments are parallel? a. …
D. The slope of one is the negative of the slope of the other.
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quadrilateral abcd has vertices at a(2,3), b(8,4), c(12,2), and d(6,2).…
$(-8,-4)$
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a student wants to prove that the sum of the angles of triangle abc is …
$m\angle XAB + m\angle BAC+m\angle YAC = 180^{\circ}$, and the measure of alternate interior angles are equal
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8.7.3 quiz: coordinate geometry with polygons if abcde is translated 2 …
D. It will move and won't change shape or size.
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complete the converse of the given statement. if the measures of two an…
If two angles are supplementary, then their measures have a sum of 180°.
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question 6 of 10 is the following shape a square? how do you know? a. n…
A. No, the sides are not congruent.
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find the length x.
$2.5$
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question 10 of 10 how do you know if two line segments are perpendicula…
C. The slope of one is the negative of the slope of the other.
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question 9 of 10 how do you know if two line segments are parallel? a. …
D. Their slopes are equal.