Congruence and Similarity in Two-Dimensional Figures

If triangle ABC is similar to triangle XYZ, and the sides of ABC are 3, 4, and 5, and the shortest side of XYZ is 6, what is the length of the longest side of XYZ?

• 8

• 10

• 12

• 14

If two triangles are congruent, then their corresponding sides are __________.

• Proportional

• Equal in length

• Parallel

• Perpendicular

If two polygons are congruent, then their corresponding sides are __________ and their corresponding angles are __________.

• Proportional; equal

• Equal; proportional

• Equal; equal

• Proportional; proportional

Two triangles are congruent if they have:

• Two sides of equal length

• Three angles of equal measure

• Two angles and the included side of equal measure

• All corresponding sides and angles of equal measure

Tell whether the two figures are congruent or similar.

• Congruent, because their sides are the same.

• Congruent, because their sides are proportional.

• Similar, because their sides are the same.

• Similar, because their sides are proportional.

• They are not congruent or similar.

Are these two figures congruent, similar or neither?

• Congruent

• Neither

• Similar

As it relates to geometry, what does it mean for figures to be similar?

• corresponding sides are proportional and corresponding angles are congruent

• corresponding sides and angles are congruent

• angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

• neither sides or angles are congruent

4m 5m 3m 4.5m

• 4m

• 5m

• 3m

• 4.5m

Determine if the two figures are congruent . Explain your reasoning.

• Angles add up 180

• corresponsive sides are congruent

• corresponding sides and angles congruent

• triangle FGJ = triangle XYZ

Two figures are _______ if the second can be obtained from the first by a sequence of transformations or dilations.

• congruent

• similar

• scale

• corresponding