Kites and Trapezoids

7.5: Trapezoids & Kites Practice Questions

​

Trapezoid

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

• ​The parallel sides of a trapezoid are its bases.

• The nonparallel sides are its legs.

• Two angles that share a base of a trapezoid are base angles of a trapezoid.

Isosceles Trapezoid

1. Find the value of x.

2. Find the m<1 and m<2.

Poll

To determine $$m\angle S$$ , what information would you use?

• $$63\degree$$  

• 14

Multiple Choice

Determine $$m\angle S$$ . 

• $$63\degree$$  

• 14

• $$117\degree$$  

• $$166\degree$$  

Kite

• A kite is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent—there are no parallel sides.

Find the measures of  <1 and <2.

Solve for each angle measure.

6. If m<GHJ = 52 and m<GKJ = 95, find m<HGK

7. If GJ = 6 and RK = 10, find JK.

Multiple Choice

Click picture. Determine $$m\angle D$$ . 

• $$110\degree$$  

• $$144\degree$$  

• $$106\degree$$  

• $$254\degree$$  

• $$127\degree$$  

Fill in the Blanks