Congruent Triangles and Polygons

The video tutorial explains the concept of congruent polygons, which are identical in shape and size. It demonstrates this concept using examples of congruent rectangles and triangles, showing that corresponding angles and sides are equal. The tutorial emphasizes that congruence applies to various shapes, not just rectangles and triangles.

What does it mean for two polygons to be congruent?

• They have the same color.

• They have the same shape and size.

• They are both quadrilaterals.

• They have the same perimeter.

Which of the following is true for congruent polygons?

• Their corresponding angles are different.

• They have different sizes.

• Their corresponding sides are equal.

• They have different shapes.

How can you denote that two rectangles ABCD and EFGH are congruent?

• ABCD ~ EFGH

• ABCD = EFGH

• ABCD ≅ EFGH

• ABCD ≈ EFGH

If one side of a congruent rectangle is 5 meters, what is the length of the corresponding side in the other rectangle?

• 10 meters

• 7 meters

• 5 meters

• 3 meters

In congruent rectangles, if one side is 3 meters, what is the length of the corresponding side in the other rectangle?

• 5 meters

• 4 meters

• 3 meters

• 2 meters

What is a key characteristic of congruent triangles?

• They have different angles.

• They have the same area.

• Their corresponding sides and angles are equal.

• They are both isosceles.

If triangle ABC is congruent to triangle DEF, and one side of ABC is 4 cm, what is the length of the corresponding side in DEF?

• 4 cm

• 3 cm

• 5 cm

• 2 cm

In congruent triangles, if one side is 5 cm, what is the length of the corresponding side in the other triangle?

• 3 cm

• 4 cm

• 6 cm

• 5 cm

Which of the following is true for the angles in congruent triangles?

• They are equal to the corresponding angles in the other triangle.

• They are all right angles.

• They are all obtuse.

• They are all acute.

If one angle in a congruent triangle is a right angle, what can be said about the corresponding angle in the other triangle?

• It is a right angle.

• It is a straight angle.

• It is an obtuse angle.

• It is an acute angle.