Quadrilateral Proofs

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Tags

CCSS.2.G.A.1

Front

What are the properties of a rectangle?

Back

A rectangle has opposite sides that are equal in length, all angles are right angles (90 degrees), and the diagonals are equal in length.

Tags

CCSS.5.G.B.4

Front

What is a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length. The opposite angles are equal, and the diagonals bisect each other at right angles.

Tags

CCSS.3.G.A.1

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found using the formula: Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are equal in length and bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the perimeter of a rhombus?

Back

The perimeter of a rhombus is given by the formula: Perimeter = 4 × side length.

Tags

CCSS.3.MD.D.8

Front

How do you solve for x in a rectangle when given expressions for sides?

Back

Set the expressions for the sides equal to each other and solve for x.

Tags

CCSS.HSG.CO.C.11

Front

What is the measure of the angles in a rhombus?

Back

The opposite angles in a rhombus are equal, and the sum of all angles is 360 degrees.

Tags

CCSS.HSG.CO.C.11

Front

If DO = 2p + 9 and OG = 3p - 6 in rhombus DOGS, how do you find GS?

Back

Set DO equal to OG: 2p + 9 = 3p - 6, solve for p, then use p to find GS.

Tags

CCSS.HSG.CO.C.11

Front

What is the significance of the diagonals in a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles and also bisect the angles of the rhombus.

Tags

CCSS.HSG.CO.C.11