Reptiles

Reptiles

SHAPES THAT TESSALATE TO FORM SIMILAR SHAPES 

Mug Wumps and HW

Observations:
-Glug (x,3y) and Lug(3x,y) have the same area size
-Glug is as tall as bug
-Lug and Bug have the same width (x's are the same)
-Mug, Zug, and Bug are related because they are similar. Even x's and even y's.
-Lug and glug are imposters
-Lug is as tall as Mug (Their y's are the same)
-If x and y are multiplied by different numbers they will be imposters.

How to make an Imposter: 
**-Multiplied y more than x so it is taller.
**-Multiply x more than y so that it is wider.

How to make a Wump Family:
**-Multiply x and y by the same number

 

HOMEWORK!

L15 pg. 41 # 14 and #15 

What are some predictions we can make for a rule to move the Mug Wumps around on the graph? 

-subtract same # from x,y

-change y and x by the same #

-Multiply x and y by the same number. 

-Move to the side, change the x's. 

-change coordinates

-If you want to move it up maybe adding 

-to move sideways, you add to the x axis. to move up, you add to the y. 

R-17 Similar Figures

What characteristics would 2 shapes need in order to be similar?

 Class Ideas:
-Same shape, but smaller or bigger or rotated.
-Shapes w/ corresponding sides/ angles 
-Same angle measures but proportional side lengths
-Size increases or decreases



l-17 How are these similar figures?

Shapes
Angles
Sides/side lengths

Corresponding sides and angles

 

Corresponding Sides: 

BA and ED

BC and EF

AC and DF

Corresponding Angles: 

B and E

A and D

C and F

 

Corresponding Sides:

HG and LK

GI and KJ

HI and LJ

Corresponding Angles:

H and L

G and K

I and J 

Homework: pg 20 # 18 and 19 

What is the definition for corresponding sides and angles? 

Corresponding angles- same angles

Corresponding stuff- proportion and same shape