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Practice Exam Answers

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1
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Angles 1 and 2 are complementary and congruent. What is the measure of angle 1 ?

A
45 degrees
B
30 degrees
C
50 degrees
D
75 degrees
2
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What is the length of segment AC ?

A
12 units
B
8 units
C
16 units
D
6 units
3

Which rigid transformation would map triangle cap A cap b cap c to triangle cap e cap d cap c ?

A
a reflection across the line containing line segment cap c cap b
B
a rotation about point cap c
C
a rotation about point cap b
D
a reflection across the line containing line segment cap A cap c
4

Which rule describes the transformation?

A
cap r sub 0 comma 270 degrees
B
cap r sub 0 comma 180 degrees
C
cap r sub 0 comma 360 degrees
D
cap r sub 0 comma 90 degrees
5

What is the measure of angle 15 ?

A
m angle 15 is equal to 97 degrees
B
m angle 15 is equal to 93 degrees
C
m angle 15 is equal to 77 degrees
D
m angle 15 is equal to 83 degrees
6

Which figure represents the image of trapezoid LMNP after a reflection across the x -axis?

A
figure A
B
figure D
C
figure B
D
figure C
7

What should Jace do first to find the exact location of the center of the circular water bowl?

A
He should draw perpendicular line segments from each corner to the opposite edge of the table.
B
He should find the midpoint of each edge of the table.
C
He should bisect each of the angles at the vertices of the triangular table top.
D
He should draw perpendicular lines through any point along the edges of the table.
8

Point cap f prime corresponds to

A
point cap d .
B
point cap f .
C
point cap e prime .
D
point cap e .
9

Which rule describes the composition of transformations that maps triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
r sub x - axis circ cap t sub negative 6 comma negative 2 open paren x comma y close paren
B
cap t sub negative 6 comma negative 2 circ r sub x - axis open paren x comma y close paren
C
cap t sub negative 6 comma negative 2 circ cap r sub o comma 90 degrees open paren x comma y close paren
D
cap r sub o comma 90 degrees circ cap t sub negative 6 comma negative 2 open paren x comma y close paren
10

Which statement and reason are missing in the proof?

A
angle cap A is congruent to angle cap A ; reflexive property
B
angle cap A cap b cap c is congruent to angle cap A cap y cap x ; corresponding angles of similar triangles
C
angle cap x is congruent to angle cap x ; reflexive property
D
angle cap A cap b cap c is congruent to angle cap A cap x cap y ; corresponding angles of similar triangles
11

Which defines a line segment?

A
a piece of a line with one endpoint
B
a piece of a line with two endpoints
C
two rays with a common endpoint
D
all points equidistant from a given point
12

Which pair of triangles can be proven congruent by SAS?

A
Image with description 2 right triangles are shown. They have 2 congruent sides and a congruent angle. The first triangle is reflected across the shared side to form the second triangle.
B
Image with description 2 triangles are shown. They have 2 congruent sides and a congruent angle. The first triangle is rotated about a point to form the second triangle.
C
Image with description 2 triangles with identical angle measures are shown. The second triangle is shifted to the right.
D
Image with description 2 triangles are shown. They have a common and congruent side and 2 congruent angles. The first triangle is rotated about a shared side to form the second triangle.
13

Point cap p partitions the directed segment from cap A to cap b into a ratio of 1 to 3 ratio. cap q partitions the directed segment from cap b to cap A into a ratio of 1 to 3 ratio. Are cap p and cap q the same point? Why or why not?

A
Yes, they are both 1 fourth the distance from one endpoint to the other.
B
No, cap p is 1 fourth the distance from cap A to cap b , and cap q is 1 fourth the distance from cap b to cap A .
C
Yes, they both partition the segment into a ratio of 1 to 3 ratio.
D
No, cap q is closer to cap A and cap p is closer to cap b .
14

Which pair of triangles can be proven congruent by the HL theorem?

A
Image with description 2 right triangles have congruent hypotenuses.
B
Image with description 2 triangles have one congruent angle and 2 congruent sides.
C
Image with description 2 triangles have 3 congruent sides.
D
Image with description 2 right triangles have congruent hypotenuses and another congruent side.
15

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180 degrees . Therefore, the third angle can always be determined.
B
All isosceles triangles are similar. Two angles within each triangle are always congruent.
C
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
D
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
16

Triangle EFG has vertices cap e times open paren negative 3 comma 4 close paren , cap f of open paren negative 5 comma negative 1 close paren , and cap g of open paren 1 comma 1 close paren The triangle is translated so that the coordinates of the image are cap e prime times open paren negative 1 comma 0 close paren , cap f prime times open paren negative 3 comma negative 5 close paren , and cap g prime times open paren 3 comma negative 3 close paren Which rule was used to translate the image?

A
cap t sub negative 2 comma negative 4 times open paren x comma y close paren
B
cap t sub negative 4 comma negative 4 times open paren x comma y close paren
C
cap t sub 2 comma negative 4 times open paren x comma y close paren
D
cap t sub 4 comma negative 4 times open paren x comma y close paren
17

Which statement describes the order of rotational symmetry for an isosceles triangle?

A
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
B
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
C
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
D
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
18

Which diagram shows lines that must be parallel lines cut by a transversal?

A
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the top right angle is labeled as 91 degrees, and the bottom left angle is labeled as 91 degrees.
B
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the top right angle is labeled as 91 degrees. The second line intersecting the transversal creates 4 angles, the bottom right angle is labeled as 91 degrees.
C
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the top right angle is labeled as 89 degrees, and the bottom right angle is labeled as 91 degrees.
D
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the bottom right angle is labeled as 91 degrees. The second line intersects the transversal creating 4 angles, the top right angle is labeled as 89 degrees.
19

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle cap A to side line segment BC at point cap m What is the length of line segment MC ?

A
48 mm
B
16 mm
C
32 mm
D
24 mm
22

Which best describes the dimensions of a plane?

A
A plane has one dimension because it is made up of an infinite number of points.
B
A plane has zero dimensions because it represents a location on the coordinate plane.
C
A plane has two dimensions because it is a flat surface that has length and width but no depth.
D
A plane has three dimensions because it is made up of exactly three noncollinear points.

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