Properties and Theorems of Geometry

Properties and Theorems of Geometry

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Sophia Harris

FREE Resource

This video tutorial explains how to prove the properties of diagonals within parallelograms and rectangles using parallel lines and triangle congruence theorems. It covers the angle-side-angle and side-angle-side congruence theorems, demonstrating how diagonals bisect each other in parallelograms and are congruent in rectangles. The lesson includes converting these proofs into a two-column format and emphasizes that congruent diagonals in parallelograms indicate a rectangle.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property of parallel lines is used to prove that alternate interior angles are congruent?

Transitive Property

Corresponding Angles Postulate

Reflexive Property

Alternate Interior Angles Theorem

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which congruence theorem states that two triangles are congruent if two angles and the included side are congruent?

Side-Angle-Side (SAS)

Angle-Side-Angle (ASA)

Angle-Angle-Side (AAS)

Side-Side-Side (SSS)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to prove that two triangles are congruent if two sides and the included angle are congruent?

Angle-Angle-Side (AAS)

Angle-Side-Angle (ASA)

Side-Side-Side (SSS)

Side-Angle-Side (SAS)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a parallelogram, what can be said about the diagonals?

They bisect each other.

They are always congruent.

They are perpendicular.

They are parallel.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does CPCTC stand for in the context of congruent triangles?

Corresponding Parts of Congruent Triangles are Congruent

Corresponding Parts of Congruent Triangles are Complementary

Congruent Parts of Corresponding Triangles are Complementary

Congruent Parts of Corresponding Triangles are Congruent

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the definition of a midpoint in geometry?

A point that is the center of a circle

A point that divides an angle into two congruent angles

A point that is equidistant from the endpoints of a segment

A point that divides a segment into two congruent segments

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key property of rectangles that is used to prove the congruence of their diagonals?

Diagonals bisect each other

Diagonals are perpendicular

All angles are right angles

All sides are equal

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