1. Identify reflections, translations, and rotations.
Verify congruence after a congruence transformation.
Splash Screen

2. Mathematical Practices
Content Standards
G.CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
7 Look for and make use of structure.
CCSS

3. congruence transformation isometry reflection translation rotation
preimage
image
congruence transformation
isometry
reflection
translation
rotation
Vocabulary

4. Concept

5. Identify Congruence Transformations
A. Identify the type of congruence transformation shown as a reflection, translation, or rotation.
Example 1

6. Identify Congruence Transformations
B. Identify the type of congruence transformation shown as a reflection, translation, or rotation.
Example 1

7. Identify Congruence Transformations
C. Identify the type of congruence transformation shown as a reflection, translation, or rotation.
Example 1

8. A. Identify the type of congruence transformation shown as a reflection, translation, or rotation.
Example 1A

9. B. Identify the type of congruence transformation shown as a reflection, translation, or rotation.
Example 1B

10. C. Identify the type of congruence transformation shown as a reflection, translation, or rotation.
Example 1C

11. Identify a Real-World Transformation
BRIDGES Identify the type of congruence transformation shown by the image of the bridge in the river as a reflection, translation, or rotation.
Example 2

12. GAME Identify the type of congruence transformation shown by the image of the chess piece as a reflection, translation, or rotation.
Example 2

13. Verify Congruence after a Transformation
Triangle PQR with vertices P(4, 2), Q(3, –3), and R(5, –2) is a transformation of ΔJKL with vertices J(–2, 0), K(–3, –5), and L(–1, –4). Graph the original figure and its image. Identify the transformation and verify that it is a congruence transformation.
Example 3

14. Homework
Page 299 (7-17)
Concept