SAS Criteria

Move the triangles by dragging them or point A. Rotate the triangles by moving points B and E. Use the toolbar to measure the line segments, angles or area.

Question 1

To prove triangle ABC is congruent to triangle DEF, we can do a series of rigid motions that maps DEF onto ABC. We first start by completing a translation. Which option describes the correct translation?

Select all that apply

A
Point E is mapped onto point B along directed line segment EB.
B
Point D is mapped onto point A along directed line segment DA.
C
Point F is mapped onto point C along direct line segment FC.

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Question 2

Why do we have to map D onto A and not E onto B or F onto C?

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Question 3

What rigid motion should be completed following the translation?

Select all that apply

A
A rotation of DEF counterclockwise about point D so that DE maps onto AB
B
A rotation of DEF counterclockwise about point D so that DE maps onto AC

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Question 4

Why does mapping DE onto AC not prove triangle congruence?

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Question 5

What is the final transformation that maps DEF onto ABC and proves the two triangles are congruent?

Select all that apply

A
Reflect DEF across EF, DE maps onto AC since they are congruent.
B
Reflect DEF across DE, DF maps onto AC since they are congruent.
C
Reflect DEF across DF, EF maps onto AC since they are congruent.

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Question 6

Is there another sequence of rigid motions that would show DEF is congruent to ABC?

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SAS Criteria

Move the triangles by dragging them or point A. Rotate the triangles by moving points B and E. Use the toolbar to measure the line segments, angles or area.

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

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