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 _____ ________ Postulate.
What is Angle Angle (AA) Similarity Postulate
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
Look at diagram on page 342, #11 and tell whether the two polygons are similar.
What is no they are not similar.
200
Finish the proportion of page 326, #12. # 1 on page 271, state two correct proportions.
What is x/3=9/6 and 7/20=9/15
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
Look at the diagram on page 342, #12 and tell whether the triangles are similar or not. If they are, what postulate or theorem justifies your answer?
What is yes they are similar by AA Postulate
300
Page 327, #10, find x.
What is 18
300
Page 342, #7, find x.
What is x=11.
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
Page 342, #21, find x.
What is 2
400
Look at the diagram on page 342 #12, are the two polygons similar?
What is yes/
500
If x/y = 5/8, then: x/5 = ____ ?
What is y/8
500
Looking at the diagram on page 342, # 18 find the value of HE
What is HE=9
500
Find the value of x on page 328 #22.
What is x= 15
500
Page 342, #23, find the ratio of their area.
What is 4:1
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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