Download 3.10 - Similarity Review

CCGPS Geometry
3 - Similarity & Right Triangles
3.10 – Homework
Name: ________________________________________________ Date: _______________________
Similarity Review – Homework
1) Given BD AE , find DE and CE.
C
6
4
B
D
10
A
E
2) A model of a building has a scale of 2 in to 15 ft.
If the model is 5 in tall, how tall is the actual building?
3) In the diagram, CAT DOG. Use the diagram to find each of the following.
a) Scale factor of CAT to DOG (Simplify if necessary)
Scale Factor = _______
A
y
b) Find x and y (Show Work!)
6
81˚
35˚
x = __________
y = __________
C
8
c) Find mD = __________°
T
15
O
x
d) Find mO = __________°
e) Find the perimeter of CAT = __________
81˚
D
12
G
Find the perimeter of DOG = __________
f) What is the ratio of the perimeter of CAT to the perimeter of DOG? _____________
4) A boy who is 5 ft. tall cast a shadow that is 12 ft long. At the same time, a building
nearby cast a shadow that is 72 ft long. How tall is the building? Draw a picture!
CCGPS Geometry
3 - Similarity & Right Triangles
3.10 – Homework
5) Explain why the triangles are similar and write a similarity statement.
a) ABC~__________ by ______
b) RST~__________ by ______
b) ABC~__________ by ______
6) Determine which of the triangles (Δ DEF or ΔGHJ) is similar to ΔABC
a) Complete the Similarity Statement to ΔABC ~ Δ ____________
b) Find the Scale Factor = __________
7) Determine whether the dilation from Figure A to Figure B is a reduction or an
enlargement. Then find its scale factor and simplify if possible.
a)
b)
B
A
Reduction or enlargement?
Reduction or enlargement?
scale factor = __________
scale factor = __________