AnswersCA-Common Core Geometry DVHS Sem. 1Parallel and Perpendicular Lines

Triangles and Their Side Lengths Answers

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3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.

Question illustration
A
AC + AB > CB
B
AC + CB < AB
C
AC + CB > AB
D
AC + AB < CB
2
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Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

A
less than 90°.
B
greater than 90°.
C
congruent to angle B.
D
congruent to angle C.
3

Which are the possible side lengths of a triangle?

A
3 cm, 5 cm, 9 cm
B
4 cm, 8 cm, 10 cm
C
6 cm, 9 cm, 17 cm
D
8 cm, 10 cm, 18 cm
4

Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?

A
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
B
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
C
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
D
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.
5

Triangle QRS has the angle measures shown.

Question illustration
A
18
B
54
C
108
D
216
6

The isosceles triangle has a base that measures 14 units.

Question illustration
A
equal to 7.
B
between 7 and 14.
C
greater than 7.
D
between 14 and 28.
7

3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.

Question illustration
A
EF + FD > DE
B
ED + EF < DF
C
ED + EF > DF
D
EF + FD < DE
8

Triangle A B C is shown. Side A B has a length of 12. Side B C has a length of x. Side A C has a length of 15.

Question illustration
A
0
B
1
C
3
D
7
9

Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be

A
equal to 45°.
B
greater than 45° and less than 90°.
C
equal to 90°.
D
greater than 90° and less than 180°.
10

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

A
4x < h < 10x
B
10x < h < 4x
C
h = 4x
D
h = 10x
11

Question text not available

Question illustration
d
dilation
r
reflection
r
rotation
t
translation
12

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

2
27°
3
36°
5
54°
7
72°
13

Question text not available

Question illustration
a
a remote interior angle
a
an adjacent interior angle
a
an exterior angle
a
a complementary angle
14

Question text not available

Question illustration
a
a rotation about point B
a
a reflection across the line containing CB
a
a reflection across the line containing AC
a
a rotation about point C
15

Consider the diagram.

Question illustration
S
SSS.
A
ASA.
S
SAS.
H
HL.
16

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

Question illustration
2
29°
3
32°
5
58°
6
64°
17

Question text not available

Question illustration
m
m∠ABC = 60°
m
m∠ABC = 67°
m
m∠ABC = 120°
m
m∠ABC = 127°
18

Question text not available

Question illustration
A
A ≅ Q because of the third angle theorem.
Option A
A
AB ≅ QN because they are both opposite a right angle.
B
BC ≅ NM because it is given.
C
C ≅ M because right angles are congruent.
Option C
19

Which congruence theorem can be used to prove △BDA ≅ △DBC?

Question illustration
H
HL
S
SAS
A
AAS
S
SSS
20

Statement

Question illustration
△
△SXU ≅ △TVS
△
△UVX ≅ △SXV
△
△SWX ≅ △UWV
△
△TUX ≅ △TSV

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