1. 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.

2. 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

3. 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

4. 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

5. EOCT Practice
Question of the Day

6. 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) ) 8
7) ) 79
9) ) 31

7. What special properties apply to rhombuses, rectangles, and squares?
Math I Day 40 ( )
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.

8. Quadrilaterals Activity

9. SQUARES
RECTANGLES
RHOMBI

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

11. RHOMBUS
FOUR CONGRUENT SIDES

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

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

14. Diagonals are Perpendicular
RHOMBUS
Diagonals are Perpendicular

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

16. RECTANGLE
FOUR RIGHT ANGLES

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

18. Diagonals are Congruent
RECTANGLE
Diagonals are Congruent

19. FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES
SQUARE
FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES

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

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

22. QUADRILATERALS
RHOMBUSES
RECTANGLES
Squares
PARALLELOGRAMS

23. 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

24. PQRS is a rhombus P Q S R

25. PQRS is a rhombus P Q S R

26. PQRS is a rectangle

27. Workbook
p. 332 #11 – 24

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