Review on Quadrilaterals

Quadrilateral SAME is a parallelogram. Which among the following statement is/are correct?

• I, II and III

• I and II

• I only

• a.    I and IV

In the diagram below of parallelogram ABCD with diagonals AC and BD, the m∠1 = 37⁰ and m∠DCB = 120⁰.

What is the m∠2?

• A

• B

• C

• D

In parallelogram ABCD, the measure of angle A exceeds the measure of angle B by 28 degrees. Find the degree measure of angles A and B, respectively.

• 76⁰ and 104⁰

• b. 104⁰ and 76⁰

• c. 67⁰ and 113⁰

• d. 140⁰ and 40⁰

In rectangle ABCD, the diagonals intersect at E. The length of  AE is represented as 3b + 1 and DE the length of  is represented as 4(2b – 6). Find the value of AC?

• 16

• 18

• 32

• 36

In rhombus EFGH, m∠E = 3x – 10 and m∠F = 4 (x – 40). Find m∠G.

• 131⁰

• 48⁰

• 140⁰

• 90⁰

The trapezoid BATH is shown on the right. E is the midpoint of  BH while R is the midpoint of AT . What is the length of BA?

• A

• B

• C

• D

The isosceles trapezoid ABCD has  AB ‖ DC and AD congruent to BC. If  AD = 4x and  BC = 3x + 5, what is the length of BC?

a. 20                     b. 25                     c. 30                     d. 35

• A

• B

• C

• D

Using the diagram below of isosceles trapezoid ABCD, find the length of BC if the altitude is 4 inches, AB = 19, and CD = 25.

• A

• B

• C

• D

ABCD is a kite and a = 27⁰. Find the measures of ∠x and ∠y.

• A

• B

• C

• D

Find the area of the kite. Measurements shown are in cm. (x = 12 and y = 16)

• a.    240 cm²

• b.   336 cm²

• c.    168 cm²

• d.   264 cm²