Congruent Polygons and Their Properties

The video tutorial introduces congruent polygons, explaining their properties and how to identify them. It provides visual examples to differentiate between congruent and non-congruent polygons, emphasizing that congruent polygons have equal corresponding sides and angles. The lesson includes examples of triangles and hexagons to illustrate these concepts. The tutorial concludes with a summary of the key points covered.

What is the main characteristic of congruent polygons?

• They have different angles.

• They are always triangles.

• They have the same shape and size.

• They have the same color.

Which of the following is true about congruent sides?

• They are always perpendicular.

• They have the same length.

• They have different lengths.

• They are always parallel.

In the example of triangles, what were the measures of the congruent angles?

• 60 degrees and 60 degrees

• 45 degrees and 90 degrees

• 30 degrees and 60 degrees

• 51 degrees and 78 degrees

What indicates that two polygons are congruent in the video?

• They have different shapes.

• They are drawn on the same paper.

• They have tick marks on corresponding sides.

• They have different colors.

Why are the second set of polygons not congruent?

• They have the same shape but different colors.

• They have different shapes and sizes.

• They are both hexagons.

• They are both triangles.

What is the reason the triangles in the example are not congruent?

• They have congruent sides but different angles.

• They have congruent angles but different sides.

• They are both equilateral.

• They are both isosceles.

What is a necessary condition for polygons to be congruent?

• They must be drawn on the same paper.

• They must have congruent sides and angles.

• They must have the same number of sides.

• They must be the same color.

In the final example, what transformation is shown between the congruent hexagons?

• One is a scaled version of the other.

• One is a translated version of the other.

• One is a reflection of the other.

• One is a rotated version of the other.

What do the tick marks on the hexagons indicate?

• The hexagons are not congruent.

• The corresponding sides are congruent.

• The hexagons are different shapes.

• The hexagons are different sizes.

What is the conclusion of the lesson on congruent polygons?

• Congruent polygons can have different sizes.

• Congruent polygons can have different shapes.

• Congruent polygons must have the same shape and size.

• Congruent polygons must have the same color.