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Understanding Congruence in Geometry

Understanding Congruence in Geometry

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the definition and properties of congruence in geometry. It explains how congruence is demonstrated through sequences of rigid motions such as translations, rotations, and reflections. The tutorial includes examples and exercises to illustrate these concepts, emphasizing the preservation of segment lengths and angle measures. The notation for congruence is also introduced, and the video concludes with a summary of key properties.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the symbol used to denote congruence between two figures?

A division sign

A multiplication sign

A plus sign

An equal sign with a wave above it

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rigid motion is NOT necessary to demonstrate congruence between two triangles?

Reflection

Scaling

Translation

Rotation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If figure F is congruent to figure S', what must be true about their corresponding angles?

They are equal

They are complementary

They are supplementary

They are unrelated

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What sequence of rigid motions can map a figure back onto itself?

Translation and rotation

Reflection and translation

Scaling and reflection

Rotation and scaling

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the exercise, what is the first step to show that figure S1 is congruent to figure S2?

Reflect over a line

Rotate around a point

Translate one point to another

Scale the figure

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is preserved when two figures are congruent?

Size and shape

Texture

Color

Position

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of congruence states that a congruence maps a line to a line?

Fourth property

Third property

Second property

First property

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