Do Now 4/1/13Do Now 4/1/13

Copy HW in your planner.Copy HW in your planner. Text p. 312, #1-16 all, 21Text p. 312, #1-16 all, 21

Be ready to copy POTW #2Be ready to copy POTW #2

Objective

SWBAT identify and describe geometric figures

In your notebook, list as many words as In your notebook, list as many words as you can that can be associated with you can that can be associated with “geometry.” For each word draw the “geometry.” For each word draw the matching symbol or figure.matching symbol or figure.

Section 8.1 “Building Blocks of Section 8.1 “Building Blocks of Geometry” Geometry”

PointPointan exact location, an exact location, represented as a dot. represented as a dot.

AAZZ

DD

KK

LL

PlaPlanenea flat surface that extends on a flat surface that extends on

forever in all directions. forever in all directions.

How many planes on this figure?How many planes on this figure?

Line segmentLine segmentpart of a line with 2 endpoints and all the points in between.

C

D

E

FDC

EF

CD

FE

LinLineea straight path extending a straight path extending without end in opposite directions. without end in opposite directions.

RR

TTRT

ST

RS

SS

RayRayPart of a line that beginsPart of a line that beginsat a point and extends in one at a point and extends in one direction without ending. direction without ending.

AAKK

AA KK

BB

ABABJKJK

JJ

Identifying Points, Lines, and Planes

HI

A. four points B. two lines C. a plane

H, G, I, and F

IH, HF

plane IGF

Identify the figures in the diagram.

G

Choose any two points on a line to name the line.

Choose any three points, not on the same line, in any order.

F

Identifying Line Segments and Rays

Identify the figures in the diagram.M N

O

A. three rays

B. two line segments

MN, NM, MO

MN, MO

Name the endpoint of a ray first.

Use the endpoints in any order to name a segment.

““Similar Figures”Similar Figures”Similar FiguresSimilar Figures

Two figures are Two figures are SIMILAR FIGURESSIMILAR FIGURES if they have if they have the the same shapesame shape but not necessarily the same but not necessarily the same size. The symbol ~ indicates two figures are size. The symbol ~ indicates two figures are similar. similar.

Properties of similar figures:Properties of similar figures:

1). Corresponding angles are congruent1). Corresponding angles are congruent

2). Corresponding sides are proportional (equal ratios)2). Corresponding sides are proportional (equal ratios)

Remember this?

Remember this?

DA FC AA

BBCC

DD

EEFF

Corresponding angles –Corresponding angles – matched angles of two figuresmatched angles of two figures

EB

When 2 angles When 2 angles have the same have the same

measure, they are measure, they are marked with the marked with the same symbol.same symbol.

DEFABC ~

Remember this?

Remember this?

AA

BBCC

DD

EEFF

Corresponding sides –Corresponding sides – matched sides of two figuresmatched sides of two figures

Remember this?

Remember this?

CongruentCongruentTwo line segments are Two line segments are congruent when they are the congruent when they are the same length. same length. CC DD EE FF

3EF

EFCD

33

You can use tick marks to indicate congruent line segments.

Congruent FiguresCongruent FiguresTwo figures are Two figures are CONGRUENT FIGURESCONGRUENT FIGURES if they if they have the have the same shapesame shape AND the AND the same sizesame size. .

Properties of congruent figures:Properties of congruent figures:

1). Corresponding angles are congruent1). Corresponding angles are congruent

2). Corresponding sides are congruent2). Corresponding sides are congruent

Identifying Congruent Line Segments

Identify the line segments that are congruent in the figure.

AB CD

AC BD

BF DF EC AE

One tick mark

Two tick marks

Three tick marks

The symbol means “is congruent to.” Reading Math

Identifying Congruent Line Segments

Identify the line segments that are congruent in the figure.

AB AC

BC DE

BD CE

One tick mark

Two tick marks

Three tick marks

A

B C

D E

Given , find the indicated measure.

C

A

B

20204545

Y

Z X

1515

4545

XYZABC

YX

ZmCB

Ym

3535°° 1515

9090°°

3535°°

Am 5555°°

Puzzler…Remove 4 of the segments to leave 5

equal squares.

HomeworkText p. 312, #1-16 all, 21Text p. 312, #1-16 all, 21

HomeworkHomeworkText p. 307, #2-32 evensText p. 307, #2-32 evens

2) ordered pair 4) integer 6) 6% 8) 104% 10) 0.8 12) 1.31 14) 12 16) 81

18) 563.2 20) 118 22) 32 24) 104 26) 56 28) (3,3) 30) (5,1) 32) (6,4)