Triangle ABC is congruent to triangle EDF. So, Kiran knows that there is a sequence of rigid motions that takes ABC to EDF.
Select all true statements after the transformations:
A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.
Explain why the image of ray CA lines up with ray CE.
Explain why the image of C coincides with E.
Is triangle CBA congruent to triangle CDE? Explain your reasoning.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Is triangle CBA congruent to triangle CDE? Explain your reasoning. | arrow_right_alt | The image of ray CA and CE coincide after rotating because we defined our rotation that way. |
Explain why the image of ray CA lines up with ray CE. | arrow_right_alt | Transformations preserve distance so the image of point A and point E are the same distance along the same ray from C they have to coincide. |
Explain why the image of C coincides with E. | arrow_right_alt | Yes. The rotation would also make the image of B coincide with D. So there is a rigid motion that takes CBA onto CDE. |
The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?
Triangle HEF is the image of triangle FGH after a 180 degree rotation around point K. Select all statements that must be true.
Triangle ABC is congruent to triangle DEF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.
When triangle ABC is reflected across line AB, the image is triangle ABD. Why is angle ACD congruent to angle ADB?
