Similar Congruent Transformed Figures

The figures ​​ (a)   similar because the sides ​ ​ (b)   proportional.

• are

• are not

Triangle ABC is similar to triangle XYZ.

What is the perimeter of triangle XYZ in centimeters?

Mathematical Equivalence

ON

9. A sequence of transformations is used to map triangle RST onto triangle LMN.

What is the measure of angle L?

Mathematical Equivalence

ON

Which figures are NOT congruent?

• A

• B

• C

• D

• E

What is a dilation?

• a transformation that turns a figure around a fixed point

• a transformation that flips a figure over a line

• a fixed point around which a figure is rotated

• a transformation in which the pre-image and image are similar

What are similar figures?

• figures for which corresponding angles are congruent and corresponding sides are proportional; they have the same shape but may have different sizes

• the ratio of a pair of corresponding sides of similar figures

• figures that are exactly equal in size and shape

• figures that are totally different from each other

What are scale factors?

• points that are transformed to itself by a dilation

• the ratio of a pair of corresponding sides of similar figures; what you multiply dimensions of a figure by

• fixed points around which figures are rotated

• lines across which a figure is reflected

Translations are always _______

• Congruent

• Bigger

• Smaller

• Rotated

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• rotation

• translation

• reflection

• dilation

Two objects that have the same shape but not the same size are _______.

• Constant

• Equal

• Similar

• Rational