Polygon Transformations and Congruent Figures

Two shapes are _________ if there is a sequence of rigid transformations that carries one onto the other. The corresponding angles and sides of _________ polygons have equal measures. _________ shapes are similar and have a scale factor of 1. The symbol for _________ is ≅.

• congruent

• similar

• polygon

• flowchart

Two shapes are _______ if there is a sequence of rigid motions, followed by a dilation, that carries one onto the other. The corresponding angles of _______ polygons are congruent, and the corresponding sides are proportional. The symbol for _______ is ~.

• scale factor

• corresponding parts

• similar

• flowchart

The ___________ is the ratio that indicates how the side lengths of two similar polygons are related. For example, the map of a city may use one inch to represent one mile. The ____________ is the amount each side of a figure is multiplied by when the figure is proportionally enlarged or reduced in size. It is written as the ratio of a length in the new figure (image) to a length in the original figure.

• rigid transformations

• corresponding parts

• scale factor

• flowchart

Points, sides, edges, or angles in two or more figures that are images of each other with respect to a sequence of transformations. If two figures are congruent, their ___________________ are congruent to each other.

• flowchart

• corresponding parts

• polygon

• rigid transformations

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

Which figures are congruent?

• ΔABC and ΔDEF

• ΔABC and ΔJKL

• ΔDEF and ΔJKL

• ΔABC, ΔDEF, ΔJKL

4m

• 4m

• 5m

• 3m

• 4.5m

Which figures are congruent?

• ΔABC and ΔDEF

• ΔABC and ΔJKL

• ΔDEF and ΔJKL

• ΔABC, ΔDEF, ΔJKL

What happened from ABCD to A'B'C'D'?

• Reflection across y axis

• Reflection across x-axis

• 180 Rotation

• Translation 2 units down

• 4m
• 5m
• 3m
• 4.5m