Daily Check (2 pts each) Find the sum of the interior angles of a regular convex decagon. Find the number of sides of a regular convex polygon if the sum of the interior angles is 2520°. Find the measure of each interior angle of a regular octagon.

Warm up In Parallelogram ABRN, mA = 3x + 15 and mR = 5x –17. What is the value of x? In Parallelogram ABRN what is mN? x = 16 mN = 117

EOCT Practice This diagram shows how Pam used a compass and a straightedge to construct K, a point of concurrency for right triangle WKS. What point of concurrency did Pam construct? A centroid B circumcenter C incenter D orthocenter D

EOCT Practice B Use this diagram to answer the question. What is the measure of angle QPR? A 15° B 60° C 120° D 175° B

EOCT Practice Question of the Day

Homework Review Page 306 116° 2) 48° 3) 96° 4) a=9, b=11 5) x=2, y = 17 6) x=4, y=116 7) f=78, g=3.5 8) m=4, n=5 9) j=4.5,k=2 Page 313 Cons. Angles Supp. 2) Pair Opp. Sides = 3) Diagonals Bisect 4) One Pair Parallel and = 5) 6 6) 8 7) 1 8) 79 9) 20 10) 31

What special properties apply to rhombuses, rectangles, and squares? Math I Day 40 (3-15-11) UNIT QUESTION: What are the properties and characteristics of polygons? Standard: MM1G1.e. Today’s Question: What special properties apply to rhombuses, rectangles, and squares? Standard: MM1G.1.e.

Quadrilaterals Activity

SQUARES RECTANGLES RHOMBI

Have all the properties of parallelograms and THREE special properties Rhombus Have all the properties of parallelograms and THREE special properties

RHOMBUS FOUR CONGRUENT SIDES

A quadrilateral is a RHOMBUS if and only if it has four congruent sides

Diagonals Bisect A Pair of Opposite Angles RHOMBUS Diagonals Bisect A Pair of Opposite Angles

Diagonals are Perpendicular RHOMBUS Diagonals are Perpendicular

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

FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES SQUARE FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES

Square Have all the properties of parallelograms, all the properties of rhombi, and all the properties of rectangles

Let's make a Venn Diagram Relating all of the Properities of our quadrilaterals

QUADRILATERALS RHOMBUSES RECTANGLES Squares PARALLELOGRAMS

QUADRILATERALS PARALLELOGRAMS 1. Polygon 2. 4 sides 1. Opposite Sides are congruent RHOMBI 1. Diagonals bisect angles RECTANGLES 2. Diagonals perp Squares 1. 4 rt. angles 3. 4 equal sides 2. Diagonals congruent 2. Opposite Angles are congruent 3. Diagonals Bisect 4. Consecutive angles are supplementary PARALLELOGRAMS

PQRS is a rhombus P Q S R

PQRS is a rhombus P Q S R

PQRS is a rectangle

Workbook p. 332 #11 – 24

Homework p. 319 #7-28, not #20 or 24