# Polygons from Siberia

## Block 1: Chart ## Block 2: Parallelograms ## Rhombus

a parallelogram with 4 congruent sides ## Square

A parallelogram with 4 congruent sides and 4 right angles ## Rectangle

A parallelogram with 4 right angles

## Block 3: Parallelogram Examples ## Block 4: Properties of Parallelograms ## Properties

Opposite sides are congruent. ## Properties

Opposite angles are congruent. ## Properties

Consecutive angles are supplementary ## Properties

If one angle is right, then all angles are right. ## Properties

The diagonal of a parallelogram bisect each other ## Properties

Each diagonal of a parallelogram separates it into two congruent triangles

## Block 5: Trapezoid and Isosceles Trapezoid ## Trapezoid

A quadrilateral with exactly one pair of parallel sides

Base: Parallel sides of a trapezoid

Legs: Nonparallel sides of a trapezoid ## Isosceles Trapezoid

A trapezoid with legs that are congruent

## Block 6: Trapezoid and Isosceles Trapezoid Examples ## Example

Each pair of base angles (angle F and C) (angle D and E) are congruent

So, if angle C is 65 then angle F is 65. Angles D plus angle C equals 180.

So 180 minus angle C equals 115. Angle D is 115 then angle E is also 115.

## Block 7: Kite  ## Kite

A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent

## Block 8: Kite Example ## Example

The diagonals are perpendicular

Since the diagonals are perpendicular, the point where they meet is right angle (angle 1)

Angle three is 52 because it is corresponding to each other

Each triangle inside the kite equals 180.

Angle 1 plus Angle 3 plus Angle 2 equals 180

90 + 52 + angle 2 = 180

142 + angle 2 = 180

Subtract 142 from 180

angle 2 = 38