Exploring Congruent Polygons

The video tutorial introduces congruent figures, focusing on congruent polygons. It explains that congruent polygons must have all corresponding angles and sides congruent. The tutorial provides examples to illustrate these criteria and distinguishes between congruent and similar figures. It also covers how to write congruent statements, emphasizing the importance of order. The video concludes with exercises on matching congruent shapes and writing appropriate congruent statements.

What must be true for two polygons to be congruent?

• All sides must be proportional.

• All angles must be right angles.

• All sides must be equal in length.

• All corresponding angles and sides must be congruent.

In the given example, why are the shapes with sides 6, 7, and 10 not congruent to the shapes with sides 12, 14, and 20?

• Because they are not the same shape.

• Because their corresponding sides are not congruent.

• Because their sides are not proportional.

• Because their angles do not match.

What is the difference between congruent and similar figures?

• Congruent figures have equal sides and angles, similar figures have proportional sides and equal angles.

• Congruent figures have proportional angles, similar figures have equal angles.

• Congruent figures have proportional sides, similar figures have equal sides.

• Congruent figures have equal angles, similar figures have equal sides.

What is the correct order for writing a congruence statement for the shapes ABCDE and ZYXWV?

• ABCDE is congruent to ZYXWV

• ABCDE is congruent to VYXWZ

• ABCDE is congruent to ZYXVW

• ABCDE is congruent to WXYZV

What is the first step in writing a congruence statement for two shapes?

• Identify the corresponding angles.

• Identify the corresponding sides.

• Write the names of the shapes in the correct order.

• Measure the sides of the shapes.

What is the significance of the order in a congruence statement?

• It ensures corresponding parts are matched correctly.

• It changes the shape's angles.

• It affects the shape's area.

• It determines the shape's size.

If shape ABCDE is congruent to shape VZYWX, which side corresponds to side AB?

• WX

• VZ

• YW

• ZY

How can you manipulate shapes to help match corresponding parts?

• By changing their color.

• By changing their size.

• By rotating them.

• By flipping them.

Which angle corresponds to angle YZV in the congruence statement ABCDE is congruent to VZYWX?

• Angle CBA

• Angle CEB

• Angle CBE

• Angle CDE

If angle YWZ corresponds to angle CEB, what is the correct order of letters in the congruence statement?

• YWZ

• CBE

• CEB

• YZW