10-2 Classwork (Congruence)
![Image](https://www.geogebra.org/resource/zsTw3GXe/iWtAoYnPvrkoq3rV/material-zsTw3GXe.png)
![Image](https://www.geogebra.org/resource/U3mRMKJa/oretesNuKSopnPg6/material-U3mRMKJa.png)
1. Which arrows are congruent to figure A?
![Image](https://www.geogebra.org/resource/n2YyRwN3/TBsj82ElhjNayyJV/material-n2YyRwN3.png)
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.
Rotation: a. _____________Pre-image: 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.
![Image](https://www.geogebra.org/resource/tYFQkR2z/X4PoYlYXJp3oHq2A/material-tYFQkR2z.png)
Put your answers to 11. and 12. below:
![Image](https://www.geogebra.org/resource/wpD2CpwY/HWZ8TN1qDosZMC3v/material-wpD2CpwY.png)
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?
![Image](https://www.geogebra.org/resource/PqTBzJfm/xPJKhtTFCTCGJLI7/material-PqTBzJfm.png)
Put your answers to the "Check Your Understanding" below: