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Properties and Classification of Quadrilaterals Quiz

#1

Which statement is true about a square?

All sides are equal
Explanation

All sides of a square are of equal length.

#2

What is the sum of the exterior angles in any convex quadrilateral?

360 degrees
Explanation

The sum of exterior angles in any convex quadrilateral is 360 degrees.

#3

If a quadrilateral has one pair of opposite sides parallel and all sides equal, what type of quadrilateral is it?

Rhombus
Explanation

A quadrilateral with one pair of opposite sides parallel and all sides equal is a rhombus.

#4

In a kite, what is the relationship between the diagonals?

They bisect each other
Explanation

The diagonals of a kite bisect each other.

#5

In a convex quadrilateral, if one angle is 120 degrees, what is the measure of the remaining three angles?

90 degrees each
Explanation

The remaining three angles in a convex quadrilateral each measure 90 degrees if one angle is 120 degrees.

#6

In a rhombus, what is the relationship between opposite angles?

They are equal
Explanation

Opposite angles in a rhombus have equal measures.

#7

What is the sum of interior angles in a trapezoid?

360 degrees
Explanation

The sum of interior angles in a trapezoid equals 360 degrees.

#8

In a parallelogram, what is the relationship between opposite sides?

They are equal
Explanation

Opposite sides of a parallelogram are equal in length.

#9

If the diagonals of a quadrilateral bisect each other and are not equal, what type of quadrilateral is it?

Trapezoid
Explanation

A quadrilateral with diagonals that bisect each other but are not equal is a trapezoid.

#10

What is the sum of the interior angles in a convex quadrilateral?

360 degrees
Explanation

The sum of the interior angles in a convex quadrilateral equals 360 degrees.

#11

In a trapezoid, what is the relationship between the non-parallel sides?

They are supplementary
Explanation

The non-parallel sides of a trapezoid are supplementary.

#12

Which statement is true about a kite?

Diagonals are perpendicular
Explanation

The diagonals of a kite are perpendicular.

#13

If a quadrilateral has consecutive angles of 90, 90, 90, and 90 degrees, what type of quadrilateral is it?

Rectangle
Explanation

A quadrilateral with consecutive 90-degree angles is a rectangle.

#14

In a cyclic quadrilateral, what is the sum of opposite angles?

360 degrees
Explanation

The sum of opposite angles in a cyclic quadrilateral equals 360 degrees.

#15

What is the sum of the angles in a convex quadrilateral?

540 degrees
Explanation

The sum of the angles in a convex quadrilateral is 540 degrees.

#16

If a quadrilateral has opposite angles equal and consecutive angles supplementary, what type of quadrilateral is it?

Rectangle
Explanation

A quadrilateral with opposite angles equal and consecutive angles supplementary is a rectangle.

#17

What is the sum of the measures of the exterior angles of any convex quadrilateral?

360 degrees
Explanation

The sum of the measures of the exterior angles of any convex quadrilateral is 360 degrees.

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