Ratio and Proportion/Properties
Similar Polygons
Postulates/Theorems for Similar Triangles
Proportional Lengths
Random
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 _____ ________ Theorem.

What is Angle Angle (AA) Similarity Theorem

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

A cell phone tower casts a shadow that is 72 feet long, while a nearby tree that is 27 feet tall casts a shadow that is 6 feet long. How tall is the tower?

What is 324 feet

200

A grandfather and father both own property on a piece of triangular land. Technically, the grandfather owns the entire piece of land but has decided to draw a line that crosses over the land and is parallel to one of the property lines. In order to decide the percentage of property the father now owns, What theorem would be useful to identify this amount?

Triangle Proportionality Theorem

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=14

300
The scale factor of a quadrilateral and the _______________ are always the same proportion.
What is perimeter.
300

Are any 2 right triangles similar?

Not necessarily, the acute angles may not be congruent

300

In triangle ABC, ray BP bisects angle B and intersects side AC at point P. CP=17.5, PA=21, AB=33. Find the length of BC.

What is 27.5

300

Name 5 ways to prove that a quadrilateral is a parallelogram

1. opp sides parallel

2. opp sides cong

3. opp angles cong

4. one pair sides cong/parallel

5. diags bisect each other

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
Look at the diagram on the board, and tell whether the triangles are similar. What is the postulate or theorem that justifies your answer?
What is yes because the corresponding sides each have a ratio of 1/2, which is SSS ~ Theorem
400

Three parallel lines, line GF, line ED, line CB, intersect two other lines, lines m and n. Points F,D,B lie on line m and points G,E,C lie on line n. What is a true proportionality statement about the divided sections. Your answer needs only two total ratios.

FD/DB=GE/EC or FD/GE=DB/EC or FB/GC=FD/GE=DB/EC

400

If two angles are complementary to the same angle, then those angles are congruent. What theorem am I?

What is congruent complements theorem

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

Looking at the diagram on page 425, # 38 find the values of x and y

What is x=7.5, y=166

500

Describe and correct the error in finding the value of x on page 431, #20

The side of the larger triangle has a length of 9, not 5

x=13.5

500

Describe and correct the error on pg. 424, #24

x=216

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."
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