PROPERTIES OF SQUARE WORKSHEET

Problem 1 :

The square ABCD, find each length or angle measure.

1)  BX

2)  AX

3)  DB

4)  AC

5)  AB

6)  BC

7)  ∠AXB

8)  ∠XAB

Solution

Problem 2 :

Classify the special quadrilateral. Then find the values of x and y. 

Solution

Problem 3 :

For the square ABCD, find the missing values.

1) x

2) y

3) AD

4) DB

Solution

Problem 4 :

The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure. 

1)  ∠GHF

2)  HF

3)  ∠DGH

4)  DE

Solution

Problem 5 :

ABCD is a given rectangle with length as 80 cm and breadth as 60 cm. P, Q, R, S are the mid points of sides AB, BC, CD, DA respectively. A circular rangoli of radius 10 cm is drawn at the center as shown in figure given below. Find the area of shaded portion.

Solution

Problem 6 :

A large square is made by arranging a small square surrounded by four congruent rectangles as shown in figure given below. If the perimeter of each of the rectangle is 16 cm, find the area of the large square.

Solution

Problem 7 :

ABCD is a square with AB = 15 cm. Find the area of the square BDFE. 

Solution

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