### 9-2: TEKS Practice

• 1. The vertices of ΔABC are A(−5,4), B(−2,4), and C(−4,2). If ΔABC is reflected across the y-axis to produce the image ΔABC′, find the coordinates of the vertex C′.

• 2. The vertices of trapezoid ABCD are A(3,−3), B(5,−3), C(6,−5), and D(1, −5). Draw a graph which shows ABCD and ABCD′ after a reflection across the y-axis.

• 3.

• a. The vertices of ΔABC are A(−5,5), B(−2,4), and C(−2,3). Draw a graph which shows ΔABC and its reflection across the x-axis, ΔABC′.

• b. Graph the reflection of ΔABC′ across the y-axis.

• 4.

• a. Writing Which of the figures are reflections of the parallelogram ABCD? • b. Describe the reflections in words.

• 5. Reasoning One image of ΔABC is ABC′. • a. How do the x-coordinates of the vertices change?

• b. How do the y-coordinates of the vertices change?

• c. What type of reflection is the image ΔABC′?

• 6. Think About the Process • a. What is true about a figure and an image created by a reflection? Select all that apply.

• A. They are the same size.

• B. The figure and the image are the same shape.

• C. Each point on the image has the same x-coordinate as the corresponding point in the figure.

• D. Each point on the image moves the same distance and direction from the figure.

• b. One image of ABCD is ABCD′. What type of reflection is the image ABCD′?

• 7. Error Analysis Your friend incorrectly says that the reflection of ΔEFG to its image ΔEFG′ is a reflection across the x-axis. • a. What is the correct description of the reflection?

• b. What is your friend′s mistake?

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