Solve the following:

1. 4x = 24

2.

3. H + (-11) = 15

4. J – 7 = 20

9)3(

x

What is a translation? How does it affect a

polygon on the coordinate plane?

Unit 1, Day 2

MCC8.G.1: Verify experimentally the

properties of rotations, reflections, and

translations:

a. Lines are taken to lines, and line segments

to line segments of the same length.

b. Angles are taken to angles of the same

measure.

c. Parallel lines are taken to parallel lines.

Transformations: the mapping, or movement,

of all the points of a figure in a plane

according to a common operation.

Translation: a transformation that “slides”

each point of a figure the same distance in

the same direction.

What does a translation allow us to do to a

polygon?

Yes, we can “shift” the figure in any

direction, which allows us to create a

new, congruent figure.

Recall from yesterday: What is a congruent

figure?

Given the figure, what are the coordinates of

the polygon?

Given the figure, translate the polygon 4 units

left. What are

the coordinates

of the congruent

figure?

Given the figure, translate the polygon 1 unit

up. What are

the coordinates

of the congruent

figure?

What did you notice about the new figure that

is created after the translations??

Using the following polygon, create a congruent

polygon using the given translations.

1. For each vertex of the given polygon ABCD,

using the form (x, y), what are the coordinates?

2. Translate the original polygon left 3 units.

What are coordinates of the congruent

figure?

3. Translate the original polygon up 4 units.

What are the coordinates of the congruent

figure?

Translate the original polygon right 2 units and

down 5 units. What are the coordinates of

the congruent figure?

Discuss the Differentiation:

Discuss the figure you created and the

translations with a partner. Check each

other’s work for accuracy. Ask questions as

necessary.

Discussion

How is a translation a type of transformation?