WarmUp Exercises 1 In the diagram ABC DEF

Warm-Up Exercises 1. In the diagram, ABC DEF. Name the pairs of corresponding angles and corresponding sides. ANSWER A and D, B and C and F, AB and DE , BC and EF, CA and FD E,

Warm-Up Exercises Find the image of the points after the transformation whose rule is given. 2. (– 4, 3), (1, 4), (2, – 5), (x, y) → (x – 2, y + 1) ANSWER (– 6, 4), (– 1, 5), (0, – 4) 3. (– 2, 1), (3, 5), (– 1, – 4), (x, y) → (–y, x) ANSWER (– 1, – 2), (– 5, 3), (4, – 1)

Warm-Up Exercises Find the image of the points after the transformation whose rule is given. 4. (2, – 4), (– 3, 4), (4, – 2), (x, y) → (–x, y) ANSWER (– 2, – 4), (3, 4), (– 4, – 2)

Warm-Up 1 Exercises EXAMPLE Describe rigid motions to show congruence Describe the transformation(s) you can use to move the blue figure onto the red figure. a. b. SOLUTION a. rotation about P b. translation and then reflection

Warm-Up Exercises GUIDED PRACTICE for Example 1 Describe the transformation(s) you can use to move the blue figure onto the red figure. 1. ANSWER translation and then rotation 2. ANSWER translation and then reflection

Warm-Up 2 Exercises EXAMPLE Show figures are not congruent Explain why figure A and figure B are not congruent using transformations. SOLUTION Translate and then reflect figure A to compare it to figure B. Although some of the corresponding sides are congruent, the corresponding angles are not all congruent. So, the figures are not congruent.

Warm-Up 3 Exercises EXAMPLE Move one figure in a pattern onto another QUILTING The quilt shown is made using a repeating pattern. a. Describe a transformation that moves figure A onto figure B. b. Explain why figures C and D are congruent by using the marked angles and sides.

Warm-Up 3 Exercises EXAMPLE Move one figure in a pattern onto another SOLUTION a. A translation or a rotation will move figure A onto figure B. b. Figures C and D are congruent because all pairs of corresponding sides and all pairs of corresponding angles are congruent.

Warm-Up Exercises GUIDED PRACTICE for Examples 2 and 3 Tell whether the two figures in the quilt are congruent or not congruent. If they are congruent, describe the transformation(s) you can use to move figure A onto figure B. 3. ANSWER not congruent 4. ANSWER congruent; reflection

Daily Homework Quiz Warm-Up Exercises 1. Identify the transformation(s) you can use to move figure A onto figure B. ANSWER translation, then reflection

Daily Homework Quiz Warm-Up Exercises 4. Tell whether a rigid motion can move figure A onto figure B. Explain. ANSWER No; a reflection maps one side to a congruent side, but the other sides are not congruent.