Geometry Quadrilateral 5

Question 1

Which quadrilateral has all sides equal AND all angles equal?

Accepted Answer

Square

Answer

Only a square has four equal sides and four equal (right) angles.

Question 2

The diagonals of a square do all of the following EXCEPT:

Accepted Answer

Have different lengths

Answer

A square's diagonals are equal, so they cannot have different lengths.

Question 3

One angle of a parallelogram is 65°. What is the measure of its adjacent angle?

Accepted Answer

115°

Answer

Adjacent angles are supplementary, so 180° − 65° = 115°.

Question 4

A kite has diagonals of 12 cm and 16 cm. What is its area?

Accepted Answer

96 cm²

Answer

Area of a kite = ½ × d₁ × d₂ = ½ × 12 × 16 = 96 cm².

Question 5

Which of these is always a cyclic quadrilateral (can be inscribed in a circle)?

Accepted Answer

A rectangle

Answer

A rectangle is always cyclic because its opposite angles each sum to 180°.

Geometry Practice Test