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Practice Exam Answers

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1
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What is m angle PHJ ?

A
160 degrees
B
140 degrees
C
120 degrees
D
100 degrees
2
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Which statement is true about the given information?

A
angle AEC measures 45 degrees .
B
angle CED measures 45 degrees .
C
angle CED measures 180 degrees .
D
angle AEC measures 90 degrees .
3

In triangle ABC , BG is equal to 24 mm. What is the length of segment GE ?

A
36 mm
B
12 mm
C
48 mm
D
24 mm
4

If RT is greater than BA , which correctly compares angles cap c and cap s ?

A
m angle cap c is less than m angle cap s
B
m angle cap c is greater than or equal to m angle cap s
C
m angle cap c is equal to m angle cap s
D
m angle cap c is greater than m angle cap s
5

Law of sines: sine of cap A over A is equal to sine of cap b over b is equal to sine of cap c over c

A
5 point 7 units
B
4 point 7 units
C
1 point 9 units
D
5 point 0 units
6

What is the measure of angle 15 ?

A
m angle 15 is equal to 83 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 97 degrees
7

Point cap f prime corresponds to

A
point cap e .
B
point cap d .
C
point cap e prime .
D
point cap f .
8

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

A
All isosceles triangles are similar. Two angles within each triangle are always congruent.
B
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.
C
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.
D
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.
9

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 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 4 comma negative 4 times open paren x comma y close paren
D
cap t sub negative 2 comma negative 4 times open paren x comma y close paren
10

In triangle QRS , QR is equal to 8 and RS is equal to 5 Which expresses all possible lengths of side QS ?

A
3 is less than QS comma QS is less than 13
B
5 is less than QS comma QS is less than 8
C
QS is equal to 13
D
QS is greater than 13
11

Which defines a line segment?

A
all points equidistant from a given point
B
a piece of a line with two endpoints
C
a piece of a line with one endpoint
D
two rays with a common endpoint
14

To support a tree damaged in a storm, a 12 -foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle. At approximately what angle does the wire meet the ground?

A
56.4 degrees
B
50.2 degrees
C
39.8 degrees
D
33.6 degrees
15

Which best describes the dimensions of a plane?

A
A plane has zero dimensions because it represents a location on the coordinate plane.
B
A plane has three dimensions because it is made up of exactly three noncollinear points.
C
A plane has one dimension because it is made up of an infinite number of points.
D
A plane has two dimensions because it is a flat surface that has length and width but no depth.
16

Which pair of triangles can be proven congruent by SAS?

A
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.
B
Image with description 2 triangles with identical angle measures are shown. The second triangle is shifted to the right.
C
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.
D
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.
17

The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

A
24 point 0 inches
B
28 point 2 inches
C
30 point 0 inches
D
10 point 2 inches
18

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
24 mm
C
16 mm
D
32 mm
19

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

A
Image with description 2 triangles have one congruent angle and 2 congruent sides.
B
Image with description 2 right triangles have congruent hypotenuses.
C
Image with description 2 triangles have 3 congruent sides.
D
Image with description 2 right triangles have congruent hypotenuses and another congruent side.
20

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

A
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
B
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
C
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
D
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
21

Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST ? Round to the nearest square inch. Heron’s formula: Area is equal to square root of s open paren s minus A close paren open paren s minus b close paren open paren s minus c close paren end root

A
60 square inches
B
19 square inches
C
37 square inches
D
95 square inches
22

For triangle ABC , which one is equivalent to sine of cap A ?

A
tangent of cap c
B
cosine of cap c
C
sine of cap b
D
cosine of cap b

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