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Symmetry and Isometry Concepts

Symmetry and Isometry Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers a second semester review of geometry concepts. It begins with an introduction and a question about reflecting a triangle over the x-axis. The concept of isometry is explained, highlighting its properties of preserving angles and distances but not position. The tutorial then demonstrates graphing a triangle and reflecting it over the line x = -3. It discusses lines of symmetry in equiangular hexagons and squares, emphasizing the differences between regular and equiangular shapes. Finally, the video explains how to rotate figures 180° about the origin, providing examples and mappings of points.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following diagrams correctly shows a triangle and its reflection over the x-axis?

Diagram A

Diagram C

Diagram B

Diagram D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a triangle is reflected over the x-axis, what happens to the y-coordinates of its vertices?

They remain the same

They are doubled

They are halved

They are negated

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does an isometry preserve?

Angles and distances

Only distances

Only angles

Position

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is not preserved in an isometry?

Shape

Angles

Distances

Position

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When reflecting a point over the line x = -3, what is the new x-coordinate if the original x-coordinate is -7?

3

-3

-1

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new y-coordinate of the point (0, 5) after reflecting over the line x = -3?

0

-5

5

10

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of reflecting a point over the line x = -3 on its x-coordinate?

It is mirrored across -3

It remains the same

It is negated

It is doubled

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