10-2 Classwork (Congruence)
1. Which arrows are congruent to figure A?
2. What is your prediction? Include an explanation!!
3. How could your prediction be confirmed?
4. Could a single translation, reflection, or rotation map one of the triangles onto the other? Explain.
5. How could a rotation followed by a translation map one triangle onto another?
6. Propose a composition of rotation and translation to map the triangle in the first quadrant onto the triangle in the third quadrant. Then complete the table to test your proposal.
| Pre-image: | Rotation: a. _____________ | Translation: b. ______________ |
| (0, 2) | c. ( , ) | (-3, 0) |
| (0, 5) | d. ( , ) | (0, 0) |
| (4, 2) | e. ( , ) | (-3, 4) |
7. Was your prediction Correct? Explain. Also test it using the graph below!
Use the figure for Items 8-10.
8. Predict whether quadrilaterals ABCD and BEFG are congruent.
9. How could you test your prediction?
10. Follow your plan to test your prediction. Identify the rigid motions that you applied.
Put your answers to 11. and 12. below:
13. Find a composition of two rigid motions that maps line segment B to the line segment B' that overlaps line segment A.
14. What pair of points does line segment B' connect?
15. Can you add a third rigid motion to the composition that maps B'? Explain why or why not.
16. In the composition you identified, what subsection of line segment B maps onto line segment A exactly? What is the length of the subsection?
Put your answers to the "Check Your Understanding" below: