Parallelograms and Special Quadrilaterals: Geometry Math Quiz – PDF Download
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?
AOpposite sides are congruent.
BThe diagonals are congruent.
COpposite angles are congruent.
DConsecutive 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?
AIts diagonals are congruent.
BIts diagonals are perpendicular.
CIts diagonals bisect each other.
DOne pair of opposite sides is congruent.
Question 4
Which property belongs to every rhombus but not to every rectangle?
AThe diagonals are perpendicular.
BThe diagonals bisect each other.
COpposite sides are parallel.
DOpposite angles are congruent.
Question 5
Find \(AC\) in the rectangle.Rectangle ABCD with AC = 7x - 2 and BD = 5x + 10.
A6
B20
C40
D80
Question 6
Which quadrilateral always has congruent diagonals?
ARhombus
BKite
CParallelogram
DRectangle
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?
ARhombus
BRectangle
CParallelogram
DSquare
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!
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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.
