Homework Review

GSE Geometry Day 12 (1-23-17) UNIT QUESTION: What are the properties and characteristics of polygons? Today’s Question: What four things do we know about all parallelograms?

The prefix QUADR means 4. Quadrant Quadruple Quadricepts Quadrilateral

To name a quadrilateral... list the vertices in order, like the sweeping hands of a clock. QUAD UADQ U Q ADQU A D DQUA

Consecutive C B Consecutive Sides A D One after the other

Consecutive C B Consecutive Vertices A D One after the other

Segment with two nonconsecutive vertices Diagonal C B A D Segment with two nonconsecutive vertices

Find x.

Find x.

Washington, D.C. United States Capitol Washington Monument Name the attraction that is located on a diagonal. Name the attractions that are located on the vertices. Washington Monument Jefferson Memorial White House Lincoln Memorial

You MUST memorize (learn) the 5 properties of parallelograms.

Opposite sides are congruent 5-8 Parallelograms Opposite sides are congruent

Opposite angles are congruent

Consecutive angles are supplementary. ADD UP TO 180 Consecutive angles are supplementary.

Diagonals bisect each other. This cuts the diagonals into two equal parts.

23 K L 15 N M

23 K L 15 N M

23 K L 15 N M

K L P N M

Practice Worksheet

Other Quadrilaterals

Types of Parallelograms SQUARES RECTANGLES RHOMBI

Have all the properties of parallelograms and TWO special properties Rectangle Have all the properties of parallelograms and TWO special properties

RECTANGLE FOUR RIGHT ANGLES

A quadrilateral is a RECTANGLE if and only if it has four right angles

Diagonals are Congruent RECTANGLE Diagonals are Congruent

PQRS is a rectangle P Q S R

PQRS is a rectangle P Q S R

Homework Workbook Page 318 and 319