Properties of Rectangles and Congruence

This video tutorial covers lesson 11, focusing on the concepts of area, perimeter, and congruence in rectangles. It explains how to determine if rectangles are congruent by comparing their perimeters and areas. 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 geometry.

What are the two main criteria for rectangles to be congruent?

• Same height and width

• Same color and shape

• Same perimeter and area

• Same length and width

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

• B, C, and D

• D, E, and F

• A, B, and C

• A, E, and R

What is the perimeter of rectangles B and C?

• 16 units

• 14 units

• 12 units

• 10 units

What is the area of rectangle B?

• 7 square units

• 6 square units

• 5 square units

• 4 square units

What is the area of rectangle C?

• 4 square units

• 5 square units

• 6 square units

• 7 square units

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

• D and F

• E and R

• C and D

• A and B

What is the area of rectangle D?

• 4 square units

• 3 square units

• 2 square units

• 5 square units

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

• Yes, they are congruent

• No, they are not congruent

• It depends on their color

• It depends on their orientation

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

• They have different perimeters and areas

• They have the same area but different perimeters

• They have the same perimeter but different areas

• They are congruent

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

• It makes them congruent

• It makes them colorful

• It makes them smaller

• It makes them larger