GEOMETRY PROPERTIES OF RECTANGLES WORKSHEET

Problem 1 :

PRST is a rectangle, find each angle if m∠1 = 50°

PRST is a rectangle, find the value of each variable.

Problem 2 :

Problem 3 :

Problem 4 :

PS = 6x + 3, RT = 7x - 2

Problem 5 :

Problem 6 :

ABCD is a rectangle, with diagonals that intersect at E. Find the value of each variable

Problem 7 :

Problem 8 :

Problem 9 :

AC = x + 7, DB = 6x - 8

Problem 10 :

In the diagram below, ABCD is a rectangle with diagonals AC and BD . If the m∠2 = 58, find the measures of angles 1, 3, and 4.

Problem 11 :

ABCD is a rectangle with diagonals AC and BD. If AC = 6x + 2 and DB = 12x – 10, find the value of x.

Answer Key

1) ∠1 = 50, ∠2 = 40, ∠3 = 40, ∠4 = 50, ∠6 = 40, ∠7 = 50, ∠8 = 100, ∠9 = 80, ∠10 = 80

2) x = 8

3) So, the value of x is 10 and value of y is 5.

4) x = 5

5) x = 20

6) x = 15, y = 9

7) x = 3, y = 5

8) x = 10

9) x = 3

10) m∠1 = m∠3 = 32

m∠2 = m∠4 = 58

11) x = 2