Unit A: Geometry

Chapter 1: Polygons

Practice


Instructions: Click the Download File button to download a printable PDF of the questions. Answer each of the following practice questions on a separate piece of paper. Step by step solutions are provided under the Solutions tab. You will learn the material more thoroughly if you complete the questions before checking the answers.
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 1.
The following quadrilateral is a kite.


 
 
 

Determine the following:
a.
diagonal angle of intersection
b.
any missing side lengths
c.
the missing angle

2.
Given the quadrilateral below, find the following:


 
 

a.
∠A and ∠D
b.
AD
c.
BD
1.
The following quadrilateral is a kite.


 
 
 
Determine the following:

a.
diagonal angle of intersection
b.
any missing side lengths
c.
the missing angle


a.
In kites, the diagonal angle of intersection is always 90°.

b.
AD = CD because they are adjacent sides, so CD = 2 ft. AB = 1 ft since AB = BC.

c.
∠A=∠C since they are located where the two pairs of adjacent sides meet, so they are equal.
2.
Given the quadrilateral below, find the following:

a.
∠A and âˆ D
b.
AD
c.
BD


 
 


a.
Since ∠A=∠C, ∠A=62°. Since ∠B=∠D, ∠D=118°. Opposite angles are equal in a parallelogram.

b.
AD = 2.6 cm. Opposite sides are equal in a parallelogram.

c.
Diagonals in a parallelogram are not equal, so BD cannot be determined from the information given.