Unit 2 Section 7 Similar Figures and Scale Drawings.notebook
October 22, 2015
Use the 2 figures at the right to complete each statement:
A
1) AB ≅ ___
2) B ≅ ___
C
B
E
3) ABC ≅ ____
4) If the length of BC is 8 in, then the length
of _____ is 8 in.
F
o
o
5) If m F = 33 , then m ____ = 33
Nov 16­8:11 PM
Oct 23­2:56 PM
D
Unit 2 Section 7 Similar Figures and Scale Drawings.notebook
October 22, 2015
Oct 23­2:56 PM
Similar Figures & Scale Drawings
Unit 2
Jul 30­6:27 PM
Unit 2 Section 7 Similar Figures and Scale Drawings.notebook
Similar Polygons Similar polygons ­ figures that have the same shape, but not necessarily the same size.
Cirle O is similar to Circle A.
O A
A
O
Polygons are similar when:
1. Corresponding angles are congruent 2. Corresponding sides are proportional
Name the corresponding angles:
16
C
12
B
8
A
D
E
Feb 6­4:08 PM
Find the values of x and y:
1) QRS PNM
R
y
x P
M
20
12
16
Q
10 S
N
3) ABC ARS
75 m
A
300 m
B
R
60 m
C
x
15
10
Check the ratios between the lengths of corresponding sides.
S
Feb 6­4:23 PM
20
F
October 22, 2015
Unit 2 Section 7 Similar Figures and Scale Drawings.notebook
6.
October 22, 2015
Use proportions to find the height of the tree.
5 ft
4 ft
20 ft
Nov 16­8:09 PM
Scale drawings Scale ­ the ratio of the size of the drawing to the actual size of the object.
drawing : actual
Nov 1­9:33 AM
Unit 2 Section 7 Similar Figures and Scale Drawings.notebook
Solve these problems using proportions.
1) A scale model of an outdoor pool is constructed using the scale of 1 in: 8 ft. The actual length of the pool is 28 ft. Find the length of the pool in the scale model.
2) A model boat is 3.5 ft long. The scale model is 1 : 10. What is the actual length of the boat?
Nov 1­9:32 AM
A special­effects artist has made a scale model of a dragon for a movie. In the movie, the dragon will appear to be 16 ft tall. The model is 4 in. tall.
a. What scale has the artist used?
b. The same scale is used for a model of a baby dragon, which will appear to be 2 ft tall. What is the height of the model?
Nov 1­9:32 AM
October 22, 2015
Unit 2 Section 7 Similar Figures and Scale Drawings.notebook
Homework:
Homework Packet
pages 25 and 26
Oct 6­3:30 PM
Oct 9­8:28 AM
October 22, 2015