5.4 Rectangles

Front

What is a rectangle?

Back

A rectangle is a quadrilateral with opposite sides that are equal in length and four right angles.

Tags

CCSS.3.G.A.1

Front

What are the properties of opposite sides in a rectangle?

Back

Opposite sides of a rectangle are parallel and congruent.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are congruent (equal in length).

Tags

CCSS.HSG.CO.C.11

Front

If AB = 40 and BC = 30 in rectangle ABCD, what is the length of diagonal AC?

Back

The length of diagonal AC is 50.

Tags

CCSS.8.G.B.8

Front

What is the formula to calculate the length of the diagonal in a rectangle?

Back

The length of the diagonal (d) can be calculated using the formula d = √(length² + width²).

Tags

CCSS.8.G.B.7

Front

Are all sides of a rectangle congruent?

Back

No, only opposite sides are congruent; consecutive sides are not.

Tags

CCSS.5.G.B.4

Front

What does it mean for sides to be perpendicular in a rectangle?

Back

Consecutive sides of a rectangle meet at right angles (90 degrees), making them perpendicular.

Tags

CCSS.HSG.CO.C.11

Front

In a rectangle, if one angle is 90 degrees, what can be said about the other angles?

Back

All angles in a rectangle are 90 degrees.

Tags

CCSS.HSG.C.A.3

Front

If the length of a rectangle is doubled, what happens to the area?

Back

The area of the rectangle is also doubled.

Front

If the width of a rectangle is halved, what happens to the perimeter?

Back

The perimeter decreases, as it is calculated by the formula P = 2(length + width).

Tags

CCSS.3.MD.D.8