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?

Assinale a sua resposta aqui

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.

Verifique minha resposta (3)

Question 2

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

Verifique sua resposta

Question 3

What rigid motion should be completed following the translation?

Assinale a sua resposta aqui

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

Verifique minha resposta (3)

Question 4

Why does mapping DE onto AC not prove triangle congruence?

Verifique sua resposta

Question 5

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

Assinale a sua resposta aqui

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.

Verifique minha resposta (3)

Question 6

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

Verifique sua resposta

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

Novos Materiais

Descobrir recursos

Explorar Tópicos