Transformation and similarity unit test

Answer 1

1. State the definition of a rigid transformation.

2. Explain what it means for two figures to be similar.

3. Given two triangles, triangle ABC and triangle DEF, where angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F, can you conclude that the two triangles are similar? Why or why not?

4. What is the difference between a translation and a reflection?

5. If a figure is rotated 90 degrees clockwise about a point, what type of transformation is this?

6. Explain the concept of a dilation and how it affects the size of a figure.

7. Given a quadrilateral ABCD and a quadrilateral EFGH, where side AB is congruent to side EF, side BC is congruent to side FG, angle A is congruent to angle E, and angle B is congruent to angle F, can you conclude that the two quadrilaterals are similar? Why or why not?

8. Identify the transformation(s) that maps triangle ABC onto triangle DEF:

A(3, 2), B(5, 4), C(1, 5)
D(-3, 2), E(-5, 4), F(-1, 5)

9. What is the scale factor of a dilation that enlarges a figure by a factor of 3?

10. Describe a sequence of transformations that would map triangle ABC onto triangle A'B'C', where A(0, 0), B(4, 0), C(2, 3), A'(0, 0), B'(8, 0), C'(4, 6).