Congruent Polygons and Triangle Congruence

What does it mean for two figures to be congruent?

• Two figures are congruent if they have the same shape but different sizes.

• Two figures are congruent if they have the same size but different shapes.

• Two figures are congruent if they have the same number of sides.

• Two figures are congruent if they have the same shape and size, and all corresponding sides and angles are equal.

If two polygons are congruent, what can we say about their corresponding parts?

• Their corresponding parts are congruent.

• Their corresponding parts are similar.

• Their corresponding parts are not congruent.

• Their corresponding parts are parallel.

True or False: Congruent figures have the same shape but not necessarily the same size.

• Sometimes

• False

• Not sure

• True

Which property of congruent figures states that corresponding angles are congruent?

• Corresponding Angles Postulate

• Angle Addition Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

Which property of congruent figures states that corresponding sides are congruent?

• Angle-Side-Angle Property

• Corresponding Sides Property

• Angle-Angle-Side Property

• Side-Angle-Side Property

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding angles?

• Their corresponding angles are similar.

• Their corresponding angles are congruent.

• Their corresponding angles are perpendicular.

• Their corresponding angles are not congruent.

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding sides?

• The corresponding sides of triangle ABC and triangle DEF are equal.

• The corresponding sides of triangle ABC and triangle DEF are perpendicular.

• The corresponding sides of triangle ABC and triangle DEF are parallel.

• The corresponding sides of triangle ABC and triangle DEF are not equal.

True or False: If two triangles have all three pairs of corresponding angles congruent, then the triangles are congruent.

• True, because corresponding angles are congruent

• False

• True, but only if all three pairs of corresponding sides are also congruent

• False, because congruent angles do not guarantee congruent triangles

True or False: If two triangles have all three pairs of corresponding sides congruent, then the triangles are congruent.

• True

• Sometimes true

• False

• Not enough information to determine

Which congruence postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)