# Worksheet: Triangle Inequality: Angle–Side Relationship Theorem

Q1:

Which is the correct relationship between and ?

• A
• B
• C

Q2:

From the figure below, determine the correct inequality from the following.

• A
• B
• C
• D

Q3:

Complete the following using , , or : If, in the triangle , , then .

• A
• B
• C

Q4:

Use , , or to fill in the blank:

• A
• B
• C

Q5:

Which inequality is satisfied by this figure?

• A
• B
• C
• D
• E

Q6:

Use , , or to fill in the blank: .

• A
• B
• C

Q7:

Order the side lengths of from greatest to least.

• A
• B
• C
• D
• E

Q8:

Use , , or to fill in the blank: .

• A
• B
• C

Q9:

Use , , or to fill in the blank: .

• A
• B
• C

Q10:

List the sides of from shortest to longest.

• A
• B
• C
• D
• E

Q11:

Use , , or to fill in the blank: If , then .

• A
• B
• C

Q12:

Use , , or to complete the following: In a triangle , if is any point on , then .

• A
• B
• C

Q13:

Use , , or to fill in the blank: If , then .

• A
• B
• C

Q14:

Use , , or to fill in the blank: .

• A
• B
• C

Q15:

Choose the correct relationship between and .

• A
• B
• C

Q16:

Use , , or to complete the statement: If , , and , then .

• A
• B
• C

Q17:

Use , , or to complete the following: If , then .

• A
• B
• C

Q18:

Use , , or to complete the statement: If and , then .

• A
• B
• C

Q19:

Given , , and , choose the correct relationship between and .

• A
• B
• C

Q20:

Is ?

• A
• B
• C

Q21:

Order , , , from least to greatest according to their lengths.

• A
• B
• C
• D
• E

Q22:

Choose the correct relationship between and .

• A
• B
• C

Q23:

Order the sides , , , and from greatest to least of length.

• A , , ,
• B , ,
• C , , ,
• D , , ,
• E , , ,

Q24:

Order the side lengths of from least to greatest.

• A
• B
• C
• D
• E