Parallelogram Pro Quiz Parallelogram Pro Quiz
Testing your knowledge of Mr. Dallas's Geometric Properties
Name:
Date:
Circle the best answer for each question based on the "Properties of Parallelograms" lesson. Ensure you read each option carefully before making your selection.
1. Based on the definition provided by Mr. Dallas, what is a parallelogram?
A A three-sided polygon with parallel bases
B A quadrilateral where opposite sides are parallel
C A rectangle with at least one right angle
D A four-sided figure where all sides are equal
2. How did Mr. Dallas suggest remembering the definition of a parallelogram?
A By the number of angles it contains
B By visualizing a box tilting to one side
C The word "parallel" is hidden inside the name
D By counting the four vertices of the shape
3. If side AB of a parallelogram measures 5 inches, what is the length of its opposite side, side CD?
A 2.5 inches
B 10 inches
C 5 inches
D 7 inches
4. In a parallelogram, if angle A is 120°, what is the measure of its opposite angle, angle C?
A 60°
B 120°
C 180°
D 90°
5. What does it mean for consecutive angles to be "supplementary"?
A The angles are equal to each other
B The angles add up to 90 degrees
C The angles add up to 180 degrees
D The angles add up to 360 degrees
6. If one angle of a parallelogram is 60°, what must be the measure of the angle right next to it?
A 60°
B 30°
C 120°
D 180°
7. According to the lesson, what does it mean for diagonals to "bisect" each other?
A They cross each other at right angles
B They are the same total length
C They double in length when they meet
D They cut each other exactly in half
8. If a single diagonal cuts through a parallelogram, what does it create?
A Two congruent triangles
B Four smaller parallelograms
C Two squares of equal area
D A trapezoid and a triangle
9. To prove a quadrilateral is a parallelogram using only ONE pair of sides, what must be true about that pair?
A They must be congruent but not parallel
B They must be parallel but not congruent
C They must be BOTH congruent and parallel
D They must be perpendicular to each other
10. How many total properties of parallelograms did Mr. Dallas discuss in his lesson?
A 4 properties
B 7 properties
C 10 properties
D 5 properties
Parallelogram Quiz Key Answer Key
Parallelogram Pro Quiz
Teacher Resource
No. Answer Property / Concept Tested 1 B Definition: Quadrilateral with opposite sides parallel. 2 C Memory Trick: The word "parallel" is in the name. 3 C Property: Opposite sides are congruent (equal). 4 B Property: Opposite angles are congruent. 5 C Vocabulary: Supplementary means angles sum to 180°. 6 C Property: Consecutive angles are supplementary (60 + 120 = 180). 7 D Property: Diagonals bisect (cut in half) each other. 8 A Property: Diagonal divides into two congruent triangles. 9 C Condition: One pair of sides must be BOTH congruent and parallel. 10 B General Fact: There are 7 distinct properties discussed.
Teacher Notes
Question 9 Clarification: Emphasize to students that "mixing and matching" (parallel on one set, congruent on another) does NOT guarantee a parallelogram, as it could describe an isosceles trapezoid.
The "Next To" Rule: For Question 6, students often confuse consecutive angles (180°) with opposite angles (equal). A quick trick is to show them how the sides are parallel like "train tracks."
Bisection: Remind students that diagonals bisecting each other doesn't mean the diagonals themselves are the same length (unless it's a rectangle/square).
Parallelogram Pro Slides Parallelogram
Power
Mastering the 7 Essential Properties
Based on the lesson by Mr. Dallas
What is it?
A quadrilateral where opposite sides are parallel.
Memory Trick
The word parallel ogram literally has the word parallel in it!
PARALLEL
The 7 Characteristics
1 Opposite sides are parallel
2 Opposite sides are congruent
3 Opposite angles are congruent
4 Consecutive angles are supplementary
5 Diagonals bisect each other
6 One pair: Both congruent AND parallel
7 Diagonal creates 2 congruent triangles
"Every single parallelogram has all seven!"
Sides & Angles
Opposite Sides are Congruent
Congruent means equal to . If the top is 5 inches, the bottom is 5 inches.
Opposite Angles are Congruent
If angle A is 120°, then angle C (the one across from it) is also 120°.
120° 120° 60° 60°
5 in.
5 in.
Opposite = Equal / Same
The 180° Rule
Consecutive Angles
Angles that are "next to" each other.
SUM = 180°
This is called being "supplementary" . It doesn't matter which side of the shape you look at—any two neighbors add up to 180.
120° + 60° = 180°
60° + 120° = 180°
The Diagonals
Bisection
Diagonals bisect each other.
Bisect = to cut exactly in half.
They chop each other into two equal segments at their meeting point!
7
7
10
10
The Final Two...
The Power Pair
If just one pair of sides is both parallel and congruent, it is a parallelogram.
Caution: You cannot mix and match! It must be the SAME pair.
Double Triangles
Each diagonal divides the quadrilateral into two congruent triangles.
Summary
7 Properties.
1 Parallelogram.
Infinite Potential.
Ready for the Parallelogram Pro Quiz?
