AnswersGCSS_GA-Geometry Concepts and Connections_ICTriangle Angle Theorems

Triangle Angle Theorems — Unit test Answers

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Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°.

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A
29°
B
32°
C
58°
D
64°
2
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Two parallel lines are crossed by a transversal.

Question illustration
A
g = 75
B
g = 80
C
g = 100
D
g = 105
3

Two parallel lines are crossed by a transversal.

Question illustration
A
m = 68
B
m = 78
C
m = 102
D
m = 112
4

Given: and g is a transversalProve:

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
5

Two parallel lines, e and f, are crossed by two transversals.

Question illustration
A
m15 = 77°
Option A
B
m15 = 83°
Option B
C
m15 = 93°
Option C
D
m15 = 97°
Option D
6

A line extends from a side of a triangle.

Question illustration
A
a remote interior angle
B
an adjacent interior angle
C
an exterior angle
D
a complementary angle
7

Consider the diagram.

Question illustration
A
They lie in different planes and will never intersect.
B
They lie in the same plane but will never intersect.
C
They lie in different planes but will intersect if a plane is drawn to contain both lines.
D
They lie in different planes and will be parallel if a plane is drawn to contain both lines.
8

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

Question illustration
A
16 mm
B
24 mm
C
32 mm
D
48 mm
9

A triangle with exterior angles is shown. The bottom right angle of the triangle is (3 h + 18) degrees. The bottom right exterior angle is (15 h) degrees.

Question illustration
A
h = 1.5
B
h = 9
C
h = 10
D
h = 13.5
10

The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?

A
27°
B
36°
C
54°
D
72°
11

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Question illustration
A
∠RXZ and ∠YXZ
B
∠PXQ and ∠RXS
C
∠YZX and ∠UZT
D
∠WZX and ∠XYZ
12

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

A
right
B
scalene
C
obtuse
D
equilateral
13

Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees.

Question illustration
A
m∠ABC = 60°
B
m∠ABC = 67°
C
m∠ABC = 120°
D
m∠ABC = 127°
14

In the diagram, DC is 10 units and BC is 6 units.

Question illustration
A
6 units
B
8 units
C
12 units
D
16 units
15

Consider the two planes.

Question illustration
A
line a.
B
line b.
C
line d.
D
plane Q.

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