(4-2) Proving Quadrilaterals+

Front

What defines a square?

Back

A square is a quadrilateral with all sides congruent and all angles equal to 90 degrees.

Tags

CCSS.3.G.A.1

Front

What defines a rhombus?

Back

A rhombus is a quadrilateral with all sides congruent, but angles are not necessarily 90 degrees.

Tags

CCSS.3.G.A.1

Front

What defines a rectangle?

Back

A rectangle is a quadrilateral with opposite sides congruent and all angles equal to 90 degrees.

Tags

CCSS.3.G.A.1

Front

What defines a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are both congruent and parallel.

Tags

CCSS.3.G.A.1

Front

What is the relationship between the angles in a quadrilateral?

Back

The sum of the interior angles in a quadrilateral is always 360 degrees.

Tags

CCSS.HSG.C.A.3

Front

What is the property of diagonals in a square?

Back

In a square, the diagonals are congruent, bisect each other, and meet at right angles.

Tags

CCSS.HSG.CO.C.11

Front

What is the property of diagonals in a rhombus?

Back

In a rhombus, the diagonals are congruent and bisect each other at right angles.

Tags

CCSS.HSG.CO.C.11

Front

What is the property of diagonals in a rectangle?

Back

In a rectangle, the diagonals are congruent but do not necessarily bisect at right angles.

Tags

CCSS.HSG.CO.C.11

Front

What is the property of angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (add up to 180 degrees).

Tags

CCSS.HSG.CO.C.11

Front

How can you prove that a quadrilateral is a square?

Back

To prove a quadrilateral is a square, show that it has four congruent sides and four right angles.

Tags

CCSS.HSG.C.A.3