Geometry 12/13 December 2012

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# Geometry 12/13 December 2012 - PowerPoint PPT Presentation

Geometry 12/13 December 2012. Place binder and text on desk. Do warm up. Do proof “strip”. Complete back of pink sheet, summarizing polygon properties. Finished? Do pg. 301: 2 . objective. Students will explore and apply polygon properties.

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Geometry 12/13 December 2012
• Place binder and text on desk.
• Do warm up.

Do proof “strip”.

Complete back of pink sheet, summarizing

polygon properties.

Finished? Do pg. 301: 2

objective

Students will explore and apply polygon properties.

Students will work collaboratively to do investigations, write conjectures and apply properties to solve problems.

TEST- proofs, polygon properties

TODAY

Semester Review Packet due on your final exam day

P2- Monday, December 17

P3- Tuesday, December 18

P5 and P6- Wednesday, December 19

Polygon PropertiesCHALLENGE

I’ll call out the name of a polygon.

You have 30 seconds to mark all congruencies,

angles, etc, you know about the polygon.

Time up? Trade papers with a partner.

information.

WHOLE CLASS review– anything else?

REPEAT!!! 

Triangle Midsegment

The segment connecting the midpoints of two sides of a triangle is parallel to the 3rd side and is half as long.

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
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?

Examples

The midsegment of the trapezoid is ST. Find the value of x.

8

11

S

T

11 = ½ (8 + x)

22 = 8 + x

14 = x

x

TIMED practice

Each of the following seven review slides is timed.

Review 1
• A polygon with 7 sides is called a ____.

A) nonagon

B) dodecagon

C) heptagon

D) hexagon

E) decagon

Review 2
• Find m<A

A) 65°

B) 135°

C) 100°

D) 90°

E) 105°

B

A

165°

C

30°

65°

D

Review 3
• Opposite angles of a parallelogram must be _______.

A) complementary

B) supplementary

C) congruent

D) A and C

E) B and C

Review 4
• If a quadrilateral has four equal sides, then it must be a _______.

A) rectangle

B) square

C) rhombus

D) A and B

E) B and C

Review 5
• ABCD is a trapezoid. Find the length of midsegment EF.

A) 5

B) 11

C) 16

D) 8

E) 22

13

A

E

11

B

5

D

F

C

9

Review 6
• The quadrilateral below is most specifically a __________.

A) rhombus

B) rectangle

C) kite

D) parallelogram

E) trapezoid

Review 7
• PQRS is a rhombus. What is the value of b?

Q

2b + 3 = 5b – 6

9 = 3b

3 = b

P

2b + 3

R

S

5b – 6

TEST- Polygons and Proof

CORRECTION:

Prove: Given ABCD is a Kite. Prove: ⦟BAE⦟BCE

SHOW thinking, clearly

and concisely, easy for

Others to follow.

FINISHED? You may work on the semester review packet.

practice
• Do problems on your Semester 1 Review Sheet
• Big Idea: Proof
• Big Idea: Triangle Properties
debrief

What do you need to study to be ready for the final exam?

How will you study so you will know them from vocabulary, properties and conjectures by memory?

flip flops?

2 column practice?

make up a practice quiz?

other?