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Geometry Warm-Up 1/13/11. In a triangle, the ratio of the measures of three sides is 3:4:5, and the perimeter is 42 feet. Find the measure of the longest side of the triangle.

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Geometry warm up 1 13 11
Geometry Warm-Up 1/13/11

In a triangle, the ratio of the measures of three sides is 3:4:5, and the perimeter is 42 feet. Find the measure of the longest side of the triangle.

A boxcar on a train has a length of 40 feet and a width of 9 feet. A scale model is made with a length of 16 inches. Find the width of the model.


Sec 7 2 similar polygons

Sec. 7.2: Similar Polygons

Geometry

January 13, 2011


Are the following similar
Are the following similar?

Similar – same shape but different size


Similar polygons
Similar Polygons

A

ABCD ~ GEFH

  • Polygons are similar when

    • Their corresponding angles are congruent

    • Their corresponding sides are proportional

D

G

H

B

C

E

F

AB = BC = CD = AD

GE EF FH GH


Ex 1 decide whether the figures are similar
Ex. 1: Decide whether the figures are similar.

L

O

10.5

4

18

M

P

12

12

9

Q

N


Geometry warm up 1 13 11

Ex. 2: You have been asked to create a poster to advertise a field trip to see the Liberty Bell. You have a 3.5 inch by 5 inch photo that you want to enlarge. You want the enlargement to be 16 inches wide. How long will it be?

X = 22.9 inches

5

The length of the enlargement will be about 23 inches.

3.5

Scale Factor – the ratio of the lengths of two corresponding sides of similar polygons


Ex 3 parallelogram abcd is similar to parallelogram gbef find the value of y
Ex. 3: a field trip to see the Liberty Bell. You have a 3.5 inch by 5 inch photo that you want to enlarge. You want the enlargement to be 16 inches wide. How long will it be?Parallelogram ABCD is similar to parallelogram GBEF. Find the value of y.

Y = 19.2


Homework
Homework a field trip to see the Liberty Bell. You have a 3.5 inch by 5 inch photo that you want to enlarge. You want the enlargement to be 16 inches wide. How long will it be?

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