Download Chapter 7 SG

Name __________________________________________ Date______________
Geometry CP Study Guide 7.1 – 7.6
Directions: Fill in the blank(s) with the correct term(s). Use Page 241 as a reference.
1) A ratio is the quotient of __________ __________.
2) A ratio is usually expressed in simplest __________.
3) Give two other ways to express ratio of 4 to 3.
Directions: For numbers 4-6, please find the measure of each angle.
4) Two complementary angles have measures in the ratio 2 : 3.
5) Two supplementary angles have the measures in the ratio 3 : 7.
6) The measures of the angles of a triangle are in the ratio 2 : 2 : 5.
Directions: Fill in the blank(s) with the correct term(s). Use page 245 as a reference.
7) The first and last terms of a proportion are called __________.
8) The __________ __________ are called the means.
Directions: Please complete and show work.
1
Similar Polygons: Similar figures have the same shape but not necessarily the same size.
The ratio of the lengths of any two corresponding sides is called the scale factor.
Directions: Please complete and show work.
AA Similarity
2
If two angles of a triangle are congruent to two angles of another triangle, the triangles
are similar.
SAS Similarity
If an angle of one triangle is congruent to an angle of another triangle, and the sides of
the triangles surrounding the angles are in proportion, then the triangles are similar.
SSS Similarity
If the sides of two triangles are in proportion, then the triangles are similar.
Directions: Please complete and show work.
3
Directions: Please complete and show work.
In the diagram,
AD BE

.
DC EC
11.
If AD = 9, DC = 6, and BE = 12, find EC.
12.
If AC = 27, BE = 25, and EC = 20, find AD.
4
Directions: Find the value of x.
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