Congruent Rectangles and Their Properties

This video tutorial covers lesson 11, activity 11.3, focusing on the concepts of area, perimeter, and congruence in rectangles. It explains how to determine if rectangles are congruent by comparing their perimeter and area. Examples are provided to illustrate congruent rectangles with the same perimeter and area, as well as non-congruent rectangles with the same perimeter but different areas. The lesson concludes with a practice session to reinforce the understanding of congruency in rectangles.

What is the primary condition for two rectangles to be congruent?

• They must have the same width.

• They must have the same length.

• They must have the same perimeter and area.

• They must have the same color.

Which rectangles are congruent with a perimeter of 10 units and an area of 6 square units?

• Rectangles A, B, and C

• Rectangles A, E, and R

• Rectangles C, D, and E

• Rectangles B, D, and F

What is the perimeter of rectangles B and C?

• 16 units

• 10 units

• 12 units

• 14 units

What is the area of rectangle B?

• 6 square units

• 4 square units

• 7 square units

• 5 square units

What is the area of rectangle C?

• 5 square units

• 7 square units

• 4 square units

• 6 square units

Which rectangles have a perimeter of 10 units and an area of 4 square units?

• Rectangles E and R

• Rectangles D and F

• Rectangles C and D

• Rectangles A and B

What is the area of rectangle D?

• 2 square units

• 3 square units

• 4 square units

• 5 square units

If two rectangles have the same perimeter but different areas, are they congruent?

• It depends on their color.

• Yes, they are always congruent.

• It depends on their orientation.

• No, they are not congruent.

Which of the following is true about rectangles A and D?

• They have different perimeters and areas.

• They are congruent.

• They have the same perimeter but different areas.

• They have the same area but different perimeters.

What is the significance of having the same area and perimeter for rectangles?

• It makes them colorful.

• It makes them congruent.

• It makes them larger.

• It makes them smaller.