Use Proportionality Theorms and Perform Similarity Transformations.
100
This is a comparison of two numbers using division.
What is a ratio?
100
This is a something that is the same shape as the object it represents.
What is a scale drawing?
100
Two polygons are ___ if corresponding angles are congruent and corresponding side lengths are proportional.
What is a similar polygon?
100
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
What is the AA postulate?
100
If a line paralled to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
What is the Triangle Proportionality Theorm?
200
This is an equation that states that two ratios are equal.
What is a proportion?
200
This is a ratio that describes how the dimensions in the drawing are related to the actual dimensions of the object.
What is a scale?
200
The ratio of lengths of two corresponding sides of a similar polygon.
What is a scale factor?
200
If the angle of one triangle is congruent to an angle of a seocnd triangle and the legnths of the sides including these angles are proportional, then the triangles are similar.
What is the SAS similarity theorm?
200
If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
What is the Converse of the Triangle Proportionality Theorm?
300
a/x = x/b, x = √ab, x² = ab.
What is geometric mean?
300
Name three ways to have true proportions.
If a/b = c/d, then b/a = d/c
If a/b = c/d, then a/c = b/d
If a/b = c/d, then a+b/b = c+d/d
300
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
What is the Perimeters of Similar Polygons Theorm?
300
If the corresponding side lengths of two triangles are proportional, then the triangles are similar.
What is the SSS similarity theorm?
300
If three ___ lines intersect two ___, then they divide the ___ proportionally.
Parallel, Transversal, Transversal.
400
In a proportion, the product of the extremes equals the product of the means.
Ex. 2/3 = 4/6
What is the cross products property?
400
True of False?
If 8/m = n/9, then 8+m/m = n+9/9
True.
400
Which statement is not true? Triangle ABC ~ Triangle DEF
a. BC/EF = AC/DF
b. AB/DE = CA/FD
c. CA/FD = BC/EF
d. AB/EF = BC/DE
D
400
True or False?
If 2 pairs of sides of two triangles are congruent, then the two triangles are similar.
False.
400
If a ___ bisects an angle of a triangle, then it divides the ___ side into segments whose lengths are ___to the lengths of the other two sides.
What is ray, opposite, and proportional
500
Simplify the Ratio: 5 in. / 5 miles. (Tip: 5280 ft, in a mile.)
1 / 63,360
500
Suppose the scale model of a tower is 1 inch:2.5 Miles. How many times taller is the actual model then the tower?
158,400 Times Larger.
500
Is a scalene triangle and an isosceles triangle always, sometimes, or never similar?
Never.
500
Verify that △ABC ~ △DEF and Find the Scale Factor.
BC = 18, AB = 15, AC = 12.
EF =12, DE = 10, DF = 8.
18/12 = 15/10 = 12/8 = 3/2.
500
This is a transformation that stretches or shrinks a figure to create a similar figure.