PROPERTIES OF RECTANGLES WITH DIAGONALS AND ANGLES WORKSHEET

MNOP is a rectangle, with diagonals that intersect at C. Find the value of each variable or the missing part.

Problem 1 :

If MO = 4x - 60 and MC = x + 5

Solution

Problem 2 :

Find ∠CMP

Solution

Problem 3 :

Use the information marked on the figure to find the value of x.

Solution

Problem 4 :

In rectangle ABCD, diagonals AC and BD intersect at point E. If AE = 20 and BD = 2x + 30, find x.

Solution

Problem 5 :

In rectangle MATH, MT = 2x +12 and AH = 3x +2. What is the value of MT?

Solution

Problem 6 :

A rectangular garage, 27 feet by 36 feet, is being built. To ensure a right angle where the sides meet, what should each diagonal measure?

Solution

MNOP is a rectangle, with diagonals that intersect at C. Find the value of each variable or the missing part.

Problem 7 :

Solution

Problem 7 :

MO = 4x - 60 and MC = x + 5

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

Solution