AnswersOC27 GEO-1206310-S1-Degele-VOL7006PParallel and Perpendicular Lines

Isosceles Triangles 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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Which statements about the diagram are true? Select three options.

A
D E + E F greater-than D F
Option A
B
is an isosceles triangle.
Option B
C
5 less-than D F less-than 13
Option C
D
D E + D F less-than E F
Option D
E
is a scalene triangle.
Option E
3

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
4

Triangle QRS has the angle measures shown.

Question illustration
A
18
B
54
C
108
D
216
5

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.Triangle DEF is an obtuse triangle.The angle at vertex D is acute.The angle at vertex F is obtuse.Triangle DEF is a right triangle.The angle at vertex D is obtuse.

A
Triangle DEF is an obtuse triangle.
B
The angle at vertex D is acute.
C
The angle at vertex F is obtuse.
D
Triangle DEF is a right triangle.
E
The angle at vertex D is obtuse.
6

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°.
7

Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90 yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner.

Question illustration
A
between 30 yards and 60 yards
B
between 30 yards and 90 yards
C
between 30 yards and 120 yards
D
between 30 yards and 150 yards
8

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.
9

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

A
m∠X + m∠Z < 90°
B
m∠Y > 90°
C
∠X and∠Y are complementary
D
m∠X + m∠Y < 90°
10

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

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