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Congruence and Transformations in Geometry

Congruence and Transformations in Geometry

Assessment

Interactive Video

Mathematics

8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers various geometry concepts, including congruence, perimeter, and area. It explains how two rectangles can have the same perimeter but not be congruent, and how two rectangles can have the same area but differ in shape. The tutorial also explores determining congruence through shape overlap and transformations, such as reflections and rotations. It concludes with a discussion on rigid transformations of polygons.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two rectangles have the same perimeter, do they have to be congruent?

Yes, because they have the same perimeter.

No, they can have different areas.

No, they must have the same area.

Yes, they must be congruent.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of the first rectangle in the example given?

6 square units

20 square units

4 square units

10 square units

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can two rectangles have the same area but not be congruent?

By being congruent

By having different dimensions

By having the same perimeter

By having different perimeters

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the dimensions of the top rectangle in the example?

Base 4, Height 5

Base 10, Height 2

Base 2, Height 10

Base 5, Height 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if two shapes are congruent?

By checking if they overlap perfectly

By comparing their areas

By comparing their perimeters

By checking if they have the same dimensions

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What transformation is used to make two shapes appear congruent?

Scaling

Reflection

Rotation

Translation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of reflecting a quadrilateral over the x-axis?

A non-congruent quadrilateral

A quadrilateral with a different area

A congruent quadrilateral with a different orientation

A new quadrilateral with the same orientation

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