Congruent Figures

The video tutorial covers the concept of congruent figures, focusing on identifying corresponding sides and angles in congruent triangles. It explains that congruent figures have the same shape and size, regardless of orientation. The lesson includes practice exercises to identify congruent and non-congruent figures, and provides a formal definition of congruency. The tutorial concludes with practice problems and encourages further exploration of transformations.

What does it mean for two figures to be congruent?

• They have different shapes and sizes.

• They have the same shape and size.

• They have the same size but different shapes.

• They have the same shape but different sizes.

Which of the following statements is true about congruent figures?

• Orientation affects congruency.

• Orientation does not affect congruency.

• Only size matters for congruency.

• Only shape matters for congruency.

In congruent triangles, what do corresponding sides have in common?

• They have different lengths.

• They are parallel.

• They have the same length.

• They are perpendicular.

How can you identify corresponding angles in congruent triangles?

• By their color.

• By their position in the triangles.

• By their size.

• By their orientation.

What must be true for two triangles to be congruent?

• Both their sides and angles must be congruent.

• Only their sides must be congruent.

• Only their angles must be congruent.

• Neither their sides nor angles need to be congruent.

Why can't two equilateral triangles of different sizes be congruent?

• Because they have different side lengths.

• Because they have different orientations.

• Because they have different angles.

• Because they have different shapes.

What is the symbol used to denote congruency?

• A greater than sign.

• An equal sign with a squiggle on top.

• A less than sign.

• A multiplication sign.

Which squares are congruent if square X has sides of 4 inches and square Z has sides of 4 inches?

• None of the squares

• Square X and Square Z

• Square Y and Square Z

• Square X and Square Y

If parallelogram WXYZ is congruent to another parallelogram, what can be said about their perimeters?

• They have different perimeters.

• They have the same perimeter.

• One has a smaller perimeter.

• One has a larger perimeter.

What is the perimeter of a parallelogram with sides 13 inches and 28 inches?

• 41 inches

• 54 inches

• 82 inches

• 102 inches