AnswersFL-1205040-MJ Grade 7 Mathematics B -GFConstructing Triangles

Constructing Triangles Answers

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1
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Which descriptions can describe more than one triangle? Select two options.

A
side lengths of 6 ft, 8 ft, and 10 ft
B
angle measurements of , , and
Option B
C
angle measurements of , , and
Option C
D
angle measurements of , , and
Option D
E
side lengths of 4 cm, 6 cm, and 9 cm
2
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Which dimensions can create only one unique triangle?

A
three angles measuring , , and
Option A
B
three angles measuring , , and
Option B
C
three sides measuring 5 in., 12 in., and 14 in.
D
three sides measuring 4 ft, 8 ft, and 14 ft
3

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side?

A
3 in.
B
6 in.
C
10 in.
D
18 in.
4

Which dimensions cannot create a triangle?

A
three angles measuring , , and
Option A
B
three angles measuring , , and
Option B
C
three sides measuring 5 in., 12 in., and 13 in.
D
three sides measuring 4 ft, 8 ft, and 14 ft
5

Which dimensions can create more than one triangle?

A
three angles measuring , , and
Option A
B
three angles measuring , , and
Option B
C
three sides measuring 5 in., 12 in., and 13 in.
D
three sides measuring 4 ft, 8 ft, and 10 ft
6

Compare the given dimensions of four triangles. Which triangle is possible to construct?

A
side lengths of 5 ft, 12 ft, and 13 ft
B
side lengths of 2 ft, 11 ft, and 15 ft
C
side lengths of 3 ft, 7 ft, and 11 ft
D
side lengths of 4 ft, 8 ft, and 15 ft
7

Compare the given dimensions of four triangles. Which triangle is possible to construct?

A
side lengths of 5 ft, 12 ft, and 13 ft
B
side lengths of 2 ft, 11 ft, and 15 ft
C
side lengths of 3 ft, 7 ft, and 11 ft
D
side lengths of 4 ft, 8 ft, and 15 ft
8

What is the measure of DEF?

Question illustration
A
25 degrees
Option A
B
75 degrees
Option B
C
90 degrees
Option C
D
105 degrees
Option D
9

Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?

A
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
B
Aziza’s claim is not correct. The third side can be any length less than 26 in.
C
Aziza’s claim is not correct. The third side can be any length.
D
Aziza’s claim is not correct. The third side must create a scalene triangle.
10

Zahra plans to draw a triangle with angles measuring , , and . Which is true about Zahra’s plan?

Question illustration
A
Zahra cannot make a triangle with these angle measures.
B
Zahra can only draw one unique triangle with these angle measures.
C
Zahra can make exactly two triangles with these angle measures.
D
Zahra can make more than one triangle with these angle measures.
11

Which dimensions cannot create a triangle?

A
three angles measuring , , and
Option A
B
three sides measuring 9 m, 15 m, and 9 m
C
three angles measuring , , and
Option C
D
three sides measuring 6 cm, 8 cm, and 10 cm
12

Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?

A
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
B
Aziza’s claim is not correct. The third side can be any length less than 26 in.
C
Aziza’s claim is not correct. The third side can be any length.
D
Aziza’s claim is not correct. The third side must create a scalene triangle.
13

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.

A
15 cm
B
24 cm
C
38 cm
D
41 cm
E
53 cm
14

Which dimensions can create more than one triangle?

A
three angles measuring , , and
Option A
B
three sides measuring 7 m, 10 m, and 12 m
C
three angles measuring , , and
Option C
D
three sides measuring 3 cm, 4 cm, and 5 cm
15

Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?

A
6 cm
B
18 cm
C
24 cm
D
28 cm
16

Which dimensions cannot create a triangle?

A
three angles measuring , , and
Option A
B
three angles measuring , , and
Option B
C
three sides measuring 5 in., 12 in., and 13 in.
D
three sides measuring 4 ft, 8 ft, and 14 ft
17

Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?

A
Sarkis cannot draw a triangle with these side lengths.
B
Sarkis can only draw one unique triangle with these side lengths.
C
Sarkis can draw exactly two triangles with these side lengths.
D
Sarkis can draw more than one triangle with these side lengths.
18

Which dimensions can create more than one triangle?

A
three angles measuring , , and
Option A
B
three angles measuring , , and
Option B
C
three sides measuring 5 in., 12 in., and 13 in.
D
three sides measuring 4 ft, 8 ft, and 10 ft
19

Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?

A
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
B
Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
C
Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.
D
Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.

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