Properties and Theorems of Parallelograms

Properties and Theorems of Parallelograms

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This lesson covers the properties of parallelograms, including definitions and key theorems. Theorems discussed include the congruence of opposite sides and angles, the supplementary nature of consecutive angles, and the bisecting property of diagonals. Additionally, the lesson explores how parallel lines cut congruent segments on transversals. Examples and algebraic applications are provided to illustrate these concepts.

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the main objectives of the lesson on parallelograms?

To explore the properties of circles

To learn about the history of geometry

To understand the properties of triangles

To use relationships among sides and angles of parallelograms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following best describes a parallelogram?

A circle with a fixed radius

A triangle with two equal sides

A quadrilateral with both pairs of opposite sides parallel

A quadrilateral with all sides equal

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to Theorem 63, what can be said about the opposite sides of a parallelogram?

They are perpendicular

They are congruent

They are supplementary

They are bisected by the diagonals

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a parallelogram, if one side is 13 units, what is the length of its opposite side?

Cannot be determined

13 units

26 units

6.5 units

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does Theorem 64 state about consecutive angles in a parallelogram?

They are equal to 90 degrees

They are bisected by the diagonals

They are supplementary

They are congruent

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles are considered consecutive in a parallelogram?

Angles that are opposite each other

Angles that are equal

Angles that are adjacent to each other

Angles that are bisected by the diagonals

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to Theorem 65, what is true about opposite angles in a parallelogram?

They are equal to 90 degrees

They are congruent

They are bisected by the diagonals

They are supplementary

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