10-2 Classwork (Congruence)

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1. Which arrows are congruent to figure A?

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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.

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Put your answers to 11. and 12. below:

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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?

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Put your answers to the "Check Your Understanding" below: