•ANSWER it if you are genius…

• A man and his wife have three sons, and every one of the sons has a sister…

•How many are there in the family?

•A. 6 B. 8 C. 10 D. 12

Warm upWarm up1. Identify the transformation ∆RST → ∆XYZ.

2. Is XY congruent to RS?

3. What is the length of XY?

Yes

Reflection over the y axis

Math is brought to you by the number …

•April 18, 2013•Day 65 of 90•90-65 =

Types of Types of QuadrilateralsQuadrilaterals

(4-sided (4-sided figures)figures)

A four sided figure with both pairs of opposite sides parallel

Some Special Properties of

Parallelograms• Opposite sides are congruent• Diagonals bisect each other• Both pairs of opposite sides are

parallel

To ProveTo Prove

Parallel (use slope formula)•Means opposite sides have the SAME SLOPE

Sides Congruent (use distance formula)•Means their distances are the same

Solve for x.

Solve for x.

A parallelogram with 4 right angles

Some Special Properties of Rectangles

• All the properties of a parallelogram

• Diagonals are congruent• 4 right angles

To ProveTo ProveParallel (use slope formula)•Means opposite sides have the SAME SLOPE4 Right Angles (use slope formula)•Means consecutive sides have opposite reciprocal slopes

Opposite Sides Congruent (use distance formula)•Means opposite sides have the same distance

A parallelogram with 4 congruent sides

Some Special Properties of Rhombus

• All the properties of a parallelogram

• Diagonals are perpendicular• 4 congruent sides

To ProveTo ProveParallel (use slope formula)•Means opposite sides have the SAME SLOPEPerpendicular (use slope formula)•Means diagonals have opposite reciprocal slopes

Sides Congruent (use distance formula)•Means their distances are the same

Solve for x in this rhombus.

Z

Rhombus.

1. VY =

2. mZVY

A parallelogram with 4 congruent sides & 4 right angles

Some Special Properties of Square

•All the properties of a parallelogram, rectangle, & rhombus

Solve for x in this square.

Square1. EJ =

2. HF =

3. mEJF

4. mHGF

A quadrilateral with 2 pairs of consecutive congruent sides, but opposites sides are NOT parallel

Some Special Properties of Kite

•Diagonals are perpendicular

To ProveTo ProveNot Parallel (use slope formula)•All sides have a different slope

2 Pairs of Consecutive Sides Congruent (use distance formula)•Means two pair of sides have the same distance

A quadrilateral with 1 pair of parallel sides called bases

Have only one pair of opposite sides that are parallel.

leg leg

base

base

A quadrilateral with 1 pair of parallel sides called bases and non-parallel sides are congruent (legs)

Some Special Properties of Isosceles

Trapezoid•Diagonals are congruent

To ProveTo ProveBases Parallel (use slope formula)•Means 1 pair of opposite sides have the SAME SLOPE

Legs Congruent (use distance formula)•Means their distances are the sameDiagonals Congruent (use distance formula)•Means their distances are the same

Classifying Trianglesby Sides

•Equilateral – 3 congruent sides

• Isosceles – 2 congruent sides•Scalene – No sides congruent

To ProveTo ProveCongruent (use distance formula)•Means their distances are the same; figure out how many sides of the triangle have the same distance

ClassworkClassworkFind the Missing Point Worksheet

HomeworkHomeworkQuadrilaterals and

Parallelograms Homework Worksheet