Triangle Inequalities and Angles Formed by Parallel Lines

Two sides of a triangle measure 7 cm and 10 cm. Find the range of the possible measure of the third side.

• $3<x<17$

• $4<x<18$

• $2<x<16$

• $6<x<11$

Two sides of a triangle measure 5 cm and 10 cm. Find the range of the possible measure of the third side.

•  $5<x<10$ 

•  $4<x<11$ 

•  $6<x<9$ 

•  $5<x<15$ 

Two sides of a triangle measure 8 cm and 12 cm. Find the range of the possible measure of the third side.

•  $8<x<12$ 

•  $4<x<20$ 

•  $7<x<13$ 

•  $3<x<13$ 

Two sides of a triangle measure 7 cm and 15 cm. Which of the following can be a possible measure of the third side?

•  $8$ 

•  $22$ 

•  $9$ 

•  $7$ 

Two sides of a triangle measure 12 cm and 18 cm. Which of the following can be a possible measure of the third side?

•  $30$ 

•  $6$ 

•  $31$ 

•  $10$ 

Two sides of a triangle measure 9 cm and 20 cm. Which of the following can be a possible measure of the third side?

•  $11$ 

•  $12$ 

•  $29$ 

•  $9$ 

Name the angles from SMALLEST to LARGEST.

• $\angle P,\ \angle R,\ \angle Q$

• $\angle R,\ \angle P,\ \angle Q$
  

• $\angle Q,\ \angle P,\ \angle R$

• $\angle R,\ \angle Q,\ \angle P$

Name the sides from SHORTEST to LONGEST.

•  $\overline{RS},\ \overline{RT},\ \overline{ST}$  
  

•  $\overline{ST},\ \overline{RS},\ \overline{RT}$  
  

•  $\overline{RT},\ \overline{RS},\ \overline{ST}$  

•  $\overline{RS},\ \overline{ST},\ \overline{RT}$  

Name the angles from LARGEST to SMALLEST.

• $\angle R,\ \angle S,\ \angle T$

• $\angle T,\ \angle S,\ \angle R$

• $\angle S,\ \angle T,\ \angle R$

• $\angle R,\ \angle T,\ \angle S$

Name the sides from LONGEST to SHORTEST.

•  $\overline{JK},\ \overline{KH},\ \overline{JH}$  

•  $\overline{KH},\ \overline{JK},\ \overline{JH}$  

•  $\overline{HJ,}\ \overline{KJ},\ \overline{KH}$  

•  $\overline{JH},\ \overline{KH},\ \ \overline{JK}$