# Welcome to Algebra 1 - Shope-Math

```Geometry 11 December 2012
1) Place binder and text on your desk.
2) CHECK your homework.
3) WARM UP:
Proof Strip
Page 304: 10 - 12
Triangle Midsegment
The segment connecting the midpoints of two
sides of a triangle is parallel to the 3rd side and
X
is half as long.
1
YZ || RT and RT  YZ
2
Z
T
R
Y
objective
Students will explore and apply polygon
properties.
Students will work collaboratively to do
investigations, write conjectures and apply
properties to solve problems.
due TODAY
5.4: 2, 3, 4, 7
5.5: 1, 2, 3, 5, 6
5.6: 11, 12, 13
TEST CORRECTIONS for NOV. 20 test
TEST- proofs, polygon properties
Wednesday/ Thursday
Semester Review Packet due on your final exam
day
P2- Monday, December 17
P3- Tuesday, December 18
P5 and P6- Wednesday, December 19
Kite Properties
Isosceles Trapezoids
if a quadrilateral is a parallelogram
opposite sides are parallel (DEFINITION)
opposite sides are congruent
opposite angles are congruent
consecutive angles are supplementary
diagonals bisect each other
Using Algebra with Parallelograms
• PQRS is a parallelogram. Find the value of h.
3h + 120 = 180
- 120 -120
P
3h = 60
divide both sides by 3
h = 20
3h
S
Q
120&deg;
R
Definitions…..finish
Rectangle- an equiangular
parallelogram
Rhombus- an equilateral
parallelogram
Square- an equilateral,
equiangular parallelogram
Rectangle Properties
All properties of a parallelogram AND:
• Diagonals are congruent
• All angles are congruent (90⁰)
Rhombus Properties
Rhombuses share all properties of a parallelogram
AND:
(1) Consecutive sides of a rhombus are congruent.
(2) The diagonals of a rhombus bisect pairs
of opposite angles.
(3) The diagonals of a rhombus are perpendicular.
Square Properties
Squares share all properties of a parallelogram
AND rectangles AND rhombus
CAN YOU NAME
all the properties?
Summarizing PROPERTIES of Quadrilaterals
Fill in the back of your pink sheet
Kite
Parallelogram Trapezoid
Isosceles Trapezoid
Rhombus
Rectangle
Square
practice
• Do problems on your Semester 1 Review
Sheet
• Big Idea: Quadrilaterals
• Big Idea: Proof
• Big Idea: Triangle Properties
debrief
What do you need to study to be ready for the
polygon properties/ proof test tomorrow?
How will you study the properties so you will know
them from memory?
flip flops?
2 column practice?
make up a practice quiz?
other?
```