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Ratio and Proportion/Properties
Similar Polygons
Shortcuts/Theorems for Similar Triangles
Proportional Lengths
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100
Write the ratio in simplest form: 15:25
What is 3:5
100
If two polygons are similar, then the ratio of the lenghts of two corresponding sides is called ________ _________________.
What is scale factor.
100

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This is called the _____ ________ conjecture.

What is Angle Angle (AA) Similarity Conjecture

100
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. What is the name of this theorem?
What is Triangle Proportionality Theorem.
100
The measures of the angles of a triangle are in the ratio 4:4:7. Find the three measures of the angles.
What is 48, 48, 84.
200
Write the ratio in simplest form: 16xy/24x
What is 2y/3
200
If quad ABCD is similar (~) to quad EFGH, what are the pairs of corresponding angles?
What is angle A-E, angle B-F, angle C-G, and angle D-H.
200

# 6 page 384.

What is yes they are similar by SAS.

200

# 10 on page 390. What is x?

What is 31 2/3

200
If Triangle ABC ~ Triangle DEF, then angle B = angle _______ and AB/DE = ___/DF
What is angle E, AC.
300
Solve for x. x/7= 4/2
What is x=7
300
The scale factor of a quadrilateral and the _______________ are always the same proportion.
What is perimeter.
300

#5 on pg 384

No they are not 37/30 dne 35/28

300

#1, page 394, find the value of h.

What is 18 cm

300

#25, page 407, find x. 

What is 15.

400
Solve the proportion for x: x + 5/4 = 1/2
What is -3
400
What is the scale factor of DC to D'C'? DC=10, D'C'=40
What is 1/4
400

# 14 on page 406. Be thorough! 

XWV, By AIA, m<T = m<X and m<U = m<W, so the triangles are similar by AA similarity 

400

#8, page 394

What is 60 cm

400

#15 on page 406

Yes, angles are congruent and sides are proportional.

500
If x/y = 5/8, then: x/5 = ____ ?
What is y/8
500

Looking at the diagram on page 405, # 12 find the values of w, x, y, and z.

What is w=6 cm, x=4.5 cm, y=7.5 cm, z=3cm

500

These are NOT shortcuts for triangle similarity. Name 2.

What is SSA and SS

500

#27 on page 407, solve for x.

What is 24.

500
Write the contrapositive of the conditional, "If I graduate Highschool, then I will attend college.
What is "If I do not attend college, then I did not graduate Highschool."