Coordinate Proof with Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Tags

CCSS.3.G.A.1

Front

What are the properties of a rhombus?

Back

A rhombus is a type of parallelogram where all four sides are of equal length.

Tags

CCSS.3.G.A.1

Front

What is the distance formula used for in coordinate proof?

Back

Tags

CCSS.HSG.GPE.B.7

Front

How do you determine if a quadrilateral is a rectangle?

Back

A quadrilateral is a rectangle if it is a parallelogram with at least one right angle.

Tags

CCSS.5.G.B.4

Front

What is the slope of a line?

Back

Tags

CCSS.8.EE.B.5

Front

What must be true for a quadrilateral to be classified as a parallelogram?

Back

A quadrilateral is a parallelogram if both pairs of opposite sides are parallel.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the slopes of opposite sides in a parallelogram?

Back

In a parallelogram, the slopes of opposite sides are equal.

Tags

CCSS.HSG.CO.C.11

Front

What is the significance of congruent sides in a parallelogram?

Back

In a parallelogram, opposite sides being congruent is a key property that helps in proving its classification.

Tags

CCSS.HSG.CO.C.11

Front

What is the definition of a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Tags

CCSS.3.G.A.1

Front

What is the relationship between a square and other quadrilaterals?

Back

A square is both a rhombus and a rectangle, meaning it has all sides equal and all angles right.

Tags

CCSS.5.G.B.4