Geometry Parallelograms Quiz – Free PDF

Contents

This geometry parallelograms quiz asks 10 multiple-choice questions on parallelograms and special quadrilaterals, and each answer comes with a short explanation.

Ten multiple-choice questions check the main facts about parallelograms, rectangles, rhombuses, trapezoids and kites. Four questions use a figure, so read the markings carefully before you answer. Each explanation shows the reasoning and points out the most common mistake, which is useful when you review.

GeometryCommon Core: G-CO.C.11

🎯 Parallelograms and Special Quadrilaterals – Geometry math quiz

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Question 1

Which statement is NOT true for every parallelogram?

A Opposite sides are congruent.

B The diagonals are congruent.

C Opposite angles are congruent.

D Consecutive angles are supplementary.

Question 2

In parallelogram ABCD, what is \(m\angle B\)?

Parallelogram ABCD with angle A = 112 degrees.

A \(68^{\circ}\)

B \(112^{\circ}\)

C \(248^{\circ}\)

D \(56^{\circ}\)

Question 3

Which fact is enough to prove that a quadrilateral is a parallelogram?

A Its diagonals are congruent.

B Its diagonals are perpendicular.

C Its diagonals bisect each other.

D One pair of opposite sides is congruent.

Question 4

Which property belongs to every rhombus but not to every rectangle?

A The diagonals are perpendicular.

B The diagonals bisect each other.

C Opposite sides are parallel.

D Opposite angles are congruent.

Question 5

Find \(AC\) in the rectangle.

Rectangle ABCD with AC = 7x - 2 and BD = 5x + 10.

A 6

B 20

C 40

D 80

Question 6

Which quadrilateral always has congruent diagonals?

A Rhombus

B Kite

C Parallelogram

D Rectangle

Question 7

What is the measure of angle T in this kite?

Kite KITE with angle K = 84 degrees and angles I and E = 106 degrees.

A \(74^{\circ}\)

B \(106^{\circ}\)

C \(128^{\circ}\)

D \(64^{\circ}\)

Question 8

The diagonals of parallelogram ABCD meet at E. If \(AC=20\) and \(BD=14\), what is \(BE\)?

A \(14\)

B \(7\)

C \(10\)

D \(20\)

Question 9

A quadrilateral has four congruent sides and four right angles. What is its most specific name?

A Rhombus

B Rectangle

C Parallelogram

D Square

Question 10

In the isosceles trapezoid, what is \(m\angle D\)?

Isosceles trapezoid ABCD with bases AB and DC and angle A = 65 degrees.

A \(115^{\circ}\)

B \(65^{\circ}\)

C \(25^{\circ}\)

D \(130^{\circ}\)

🎉 Quiz complete!

0 / 10

How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

Remember:

Standard G-CO.C.11 covers proving and using theorems about parallelograms.
In every parallelogram, opposite sides and angles are congruent, consecutive angles add to 180 degrees, and diagonals bisect each other.
Any one of five conditions proves a quadrilateral is a parallelogram, such as diagonals that bisect each other.
A rectangle has congruent diagonals, a rhombus has perpendicular diagonals, and a square has both.
An isosceles trapezoid has congruent diagonals, and a kite has perpendicular diagonals.