Opposite Angles

Parallelograms
(& Special Parallograms)

​Dr. Tom Giles

Parallelograms have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

Parallelograms have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

Rectangles have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

​All four angles are right angles Diagonals are congruent

​Plus:

Rhombuses have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

​All four sides are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles

​Plus:

Squares have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

Four congruent sides​
Four right angles
Diagonals are perpendicular
Diagonals bisect opposite angles

​Plus:

Identifying Trapezoids

Parallelogram Definition...



A Parallelogram is a Quadrilateral with Two Pairs of Parallel sides.

Multiple Choice

• yes

• no

Multiple Choice

• yes

• no

Multiple Choice

• yes

• no

Multiple Choice

• yes

• no

Multiple Choice

• A

• B

• C

• D

Identifying Kites

Kites

A kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.

Kites

In geometry, "vertical angles" refer to the angle formed by two lines that meet at a common point, called the vertex; essentially, it's the angle associated with a specific vertex where two sides of a shape intersect.

Kites

In geometry, "vertical angles" refer to the angle formed by two lines that meet at a common point, called the vertex; essentially, it's the angle associated with a specific vertex where two sides of a shape intersect.

In geometry, "non-vertical angles" refer to the angles in a kite that are NOT located between two pairs of congruent sides, essentially the angles that are opposite the vertex angles, which are always congruent to each other in a kite.

Draw

Find the measure of angle V.

Draw

Find the measure of angle W.

Draw

Find the measure of angle G.

Draw

Find the measure of angle G.

Draw

Find the measure of angle x.

Draw

Find the measure of angle y.