AnswersGCSS_GA-Geometry Concepts and Connections_ICTriangle Angle Theorems

Triangles and Their Side Lengths Answers

10 verified answers1 views
1
Free Preview

Triangle QRS has the angle measures shown.

Question illustration
1
18
5
54
1
108
2
216
2
Free Preview

The isosceles triangle has a base that measures 14 units.

Question illustration
e
equal to 7.
b
between 7 and 14.
g
greater than 7.
b
between 14 and 28.
3

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
4

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
5

Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?

A
A piece of wood is cut into 3 pieces. The pieces are: 2 feet, 2 feet, and 7 feet.
Option A
B
A piece of wood is cut into 3 pieces. The pieces are: 1 foot, 4 feet, 6 feet.
Option B
C
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 2 feet, and 6 feet.
Option C
D
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 4 feet, 4 feet.
Option D
6

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
7

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.

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.
8

For a craft project, four students each chose three pieces of wire from a box.Don’s wires measure 3 inches, 5 inches, and 12 inches.Margo’s wires measure 6 inches, 8 inches, and 14 inches.Sonji’s wires measure 12 inches, 8 inches, and 17 inches.Liam’s wires measure 16 inches, 8 inches, and 27 inches.

A
Don
B
Margo
C
Sonji
D
Liam
9

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
E
EF + FD > DE
E
ED + EF < DF
E
ED + EF > DF
E
EF + FD < DE
10

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Triangle Angle Theorems

Quiz
10 verified answers

Triangle Angle Theorems

Quiz
10 verified answers

Triangles and Their Side Lengths