Transformation and Congruent vs Similar Figures

Write congruence statements comparing the corresponding parts in the congruent figures shown.

• A

• B

• C

• D

Determine if the two figures are congruent by using transformations. If so, explain the transformation or transformations that map the first figure onto the second figure.

Determine if the two figures are congruent by using transformations. If so, explain the transformation or transformations that map the first figure onto the second figure.

• not congruent

• congruent; translation

• congruent; a reflection followed by a translation

• congruent; a clockwise rotation of 90° followed by a translation

Determine if the two figures are similar by using transformations.

• Similar; a reflection and a dilation map one figure onto the other

• Similar; a rotation and a dilation map one figure onto the other.

• Similar; a translation and a dilation map one figure onto the other.

• The figures are not similar.

The pre-image and image are

(congruent / similar) figures.

• congruent

• similar

What movement happened with the triangles?

• Rotation-Turn

• Reflection-Flip

• Translation-Slide

• Dilation-Bigger or Smaller

Tell whether the two figures are congruent.

• Yes, same size and same shape

• Yes, same shape and proportional size

• No, different size and different shapes

• No, same shape but different sizes

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes