Five-Minute Check (over Lesson 6-6)

Main Idea and Vocabulary

Targeted TEKS

Example 1: Draw a Translation

Example 2: Translation in the Coordinate Plane

Example 3: Test Example

Draw a Translation

Copy EFG below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up.

Step 1 Move each vertex of the triangle 3 units right and 2 units up.

Step 2 Connect the new vertices to form the image.

Answer:

Copy ABC below on graph paper. Then draw the image of the figure after a translation of 2 units right and 4 units down.

Answer:

Translation in the Coordinate Plane

Graph ABC with vertices A(–2, 2), B(3, 4), and C(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices.

Translation in the Coordinate Plane

The coordinates of the vertices of the image are A'(–4, –3), B'(1, –1), and C'(2, –4). Notice that these vertices can also be found by adding –2 to the x-coordinates and –5 to the y-coordinates, or (–2, –5).

Original Add (–2, –5) Image

A(–2, 2) (–2 + (–2), 2 + (–5)) (–4, –3)

B(3, 4) (3 + (–2), 4 + (–5)) (1, –1)

C(4, 1) (4 + (–2), 1 + (–5)) (2, –4)

Translation in the Coordinate Plane

Answer: A'(–4, –3), B'(1, –1), and C'(2, –4)

Answer: P'(1, 0), Q'(4, 1), and R'(5, –1)

Graph PQR with vertices P(–1, 3), Q(2, 4), and R(3, 2). Then graph the image of PQR after a translation of 2 units right and 3 units down. Write the coordinates of its vertices.

A. (0, 3) B. (1, 2)

C. (2, 1) D. (1, 1)

If triangle RST is translated 4 units to the right and 3 units up, what are the coordinates of point T' ?

Read the Test Item

You are asked to find the coordinates of point T' after the original figure has been translated 4 units right and 3 units up.

Solve the Test Item

You can answer this question without translating the entire triangle.

Original figure

The coordinates of T' are (1, 2).

Answer: The answer is B.

Translating 3 units up is the same as adding 3 to the y-coordinate.

Translating 4 units right is the same as adding 4 to the x-coordinate.

The coordinates of point T are (–3, –1).

The x-coordinate of T is –3, so the x-coordinate of T' is –3 + 4 or 1.

The y-coordinate of T is –1, so the y-coordinate of T' is –1 + 3 or 2.

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. (0, –1)B. (–3, 2)

C. (–1, –4) D. (–2, 3)

If triangle LMN is translated 4 units left and 2 units up, what are the coordinates of point L'?