# TRANSLATIONS

PRACTICE - LEVEL 3

PRACTICE - LEVEL 4

ULTRA-MEGA-SUPER-BIG PRACTICE PACKET

Join us on this flipped math lesson where we visually explore how to translate a point, translate a line segment, and translate a figure. This lesson answers the questions: What is a translation? How do I translate a point?

Translation example.

Translating geometric objects using coordinate notation.

## STANDARDS

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. (8.G.3)

Demonstrate that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. (8.G.2)

# REFLECTIONS

PRACTICE - LEVEL 3

PRACTICE - LEVEL 4

This video covers the basics of transforming points by reflecting them over the x-axis, y-axis, and y = x.
This video shows how to reflect a triangle over the y-axis. The triangle is located directly on top of the y-axis, so part of the triangle is on one side of the y-axis and part of the triangle is on the other side.

Review the rules for performing a reflection across an axis.

## STANDARDS

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. (8.G.3)

Demonstrate that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. (8.G.2)

# ROTATIONS

PRACTICE - LEVEL 3

PRACTICE - LEVEL 4

Learn how to solve equations that involve decimals and fractions. The equations shown in this video are called "two-step" equations because they each take two steps to solve.

Faith and Dacoda explain their method for rotating a shape about the origin.

## STANDARDS

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. (8.G.3)

Demonstrate that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. (8.G.2)

# DILATIONS

PRACTICE - LEVEL 3

PRACTICE - LEVEL 4

This tutorial reviews how to dilate an object on the coordinate plane when the center of dilation is the origin and also when the center of dilation is not the origin.

How to dilate (reduce and enlarge) using coordinate points on the coordinate plane.

Here you'll learn how to draw dilated figures in the coordinate plane given starting coordinates and the scale factor. You'll also learn how to use dilated figures in the coordinate plane to find scale factors. This video shows how to work step-by-step through one or more of the examples in Dilation in the Coordinate Plane.

## STANDARDS

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. (8.G.3)

Demonstrate that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. (8.G.2)

# SIMILAR FIGURES

PRACTICE - LEVEL 3

PRACTICE - LEVEL 4

This video explains how you identify similar figures and set up proportions using corresponding sides.

I can find the missing lengths in similar figures. I can use similar figures when measuring indirectly.

## STANDARDS

Demonstrate that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations. (8.G.4)

Given two similar two-dimensional figures, describe a sequence of transformations that exhibits the similarity between them. (8.G.4)

# PARALLEL LINES

PRACTICE - LEVEL 3

PRACTICE - LEVEL 4

Angles of parallel lines.

Math Lesson about Parallel lines and transversals. This also covers the 8 angles created when a transversal crosses parallel lines and the relationship between those angles.

In this sample video, students learn that, if two parallel lines are cut by a transversal, then corresponding angles are congruent, alternate interior angles are congruent, and same-side interior angles are supplementary.

## STANDARDS

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. (8.G.5)

# TRIANGLE ANGLES

PRACTICE - LEVEL 3

PRACTICE - LEVEL 4

This video will define the interior and exterior angles of a triangle and then state several theorems involving the interior and exterior angles of a triangle.

This quick and easy projects demonstrates how the interior angles of a triangle equal 180 degrees. All you need is a piece of paper and a pair of scissors.

Exterior Angles are formed by 180 minus the interior angle of the triangle. If that made no sense whatsoever, watch the video.

## STANDARDS

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. (8.G.5)