Homework Practice

Printable assignment

A Tale of Three Intersecting Lines Practice 3: Side Length Relationships and Triangle Construction Reasoning

Concept Check

Question 1mcq

Two sides of a triangle are 3 cm and 6 cm. What must be true about the third side?

A.greater than 3 cm and less than 9 cm

B.greater than 9 cm

C.less than 3 cm

D.exactly 9 cm

Question 2mcq

Two sides of a triangle are 4 cm and 6 cm. What must be true about the third side?

A.greater than 10 cm

B.greater than 2 cm and less than 10 cm

C.less than 2 cm

D.exactly 10 cm

Question 3mcq

Two sides of a triangle are 5 cm and 6 cm. What must be true about the third side?

A.greater than 11 cm

B.less than 1 cm

C.greater than 1 cm and less than 11 cm

D.exactly 11 cm

Question 4mcq

Which information always gives a unique triangle construction?

A.only one angle

B.two side lengths only

C.three side lengths satisfying triangle inequality

D.three random angles with no side

Question 5mcq

Which information always gives a unique triangle construction?

A.only one angle

B.two side lengths only

C.three random angles with no side

D.three side lengths satisfying triangle inequality

Question 6mcq

Which information always gives a unique triangle construction?

A.three side lengths satisfying triangle inequality

B.only one angle

C.two side lengths only

D.three random angles with no side

Apply and Solve

Question 7mcq

Which information always gives a unique triangle construction?

A.three side lengths satisfying triangle inequality

B.only one angle

C.two side lengths only

D.three random angles with no side

Question 8mcq

Which information always gives a unique triangle construction?

A.only one angle

B.three side lengths satisfying triangle inequality

C.two side lengths only

D.three random angles with no side

Question 9mcq

Which information always gives a unique triangle construction?

A.only one angle

B.two side lengths only

C.three side lengths satisfying triangle inequality

D.three random angles with no side

Question 10mcq

Which information always gives a unique triangle construction?

A.only one angle

B.two side lengths only

C.three side lengths satisfying triangle inequality

D.three random angles with no side

Question 11mcq

Which information always gives a unique triangle construction?

A.only one angle

B.two side lengths only

C.three random angles with no side

D.three side lengths satisfying triangle inequality

Question 12mcq

Which information always gives a unique triangle construction?

A.three side lengths satisfying triangle inequality

B.only one angle

C.two side lengths only

D.three random angles with no side