Geometry - Similar Triangles Vocab Review
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34 Terms
1
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Area of Similar Polygons
If two polygons are similar, then the ratio of their areas is equal to the squares of the ratios of their corresponding side lengths.
2
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perimeter of similar polygons
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
3
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similarity ratio
the ratio of the lengths of the corresponding sides of two similar polygons
4
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Parallel Lines Theorem
In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
5
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Converse of the Triangle Proportionality Theorem
If a line intersects two sides of a triangle and separates the sides into proportional corresponding segments, then the line is parallel to the third side of the triangle.
6
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midsegment of a triangle
segment that connects the midpoints of two sides of a triangle
7
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proportional
to be the same as or corresponding to
8
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SSS Similarity Theorem
If the corresponding side lengths of two triangles are proportional, then the triangles are similar.
9
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AA Similarity Theorem
If two angles of one triangle are congruent to two angles of another, then the triangles are similar
10
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enlargement
A dilation with a scale factor greater than 1. In an enlargement, the image is larger than the preimage.
11
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reduction
a dilation with a scale factor between 0 and 1. The image is smaller than the preimage
12
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Three Parallel Lines Theorem
If three parallel lines intersect two transversals, then they divide the transversals proportionally.
13
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Triangle Bisector Theorem
If a ray bisects an angle in a triangle, then it cuts the opposite side proportionally to the other two sides
14
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SAS Similarity Theorem
If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.
15
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scale factor
the ratio of the lengths of two corresponding sides of two similar polygons. The multiplier used on each dimension to change one figure into a smaller figure
16
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parallel lines
lines in the same plane that never intersect
17
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Base Angles Theorem
If two sides of a triangle are congruent, then the angles opposite them are congruent.
18
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Area of Similar Polygons
If two polygons are similar, then the ratio of their areas is equal to the squares of the ratios of their corresponding side lengths.
19
New cards
perimeter of similar polygons
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
20
New cards
similarity ratio
the ratio of the lengths of the corresponding sides of two similar polygons
21
New cards
Parallel Lines Theorem
In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
22
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Converse of the Triangle Proportionality Theorem
If a line intersects two sides of a triangle and separates the sides into proportional corresponding segments, then the line is parallel to the third side of the triangle.
23
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midsegment of a triangle
segment that connects the midpoints of two sides of a triangle
24
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proportional
to be the same as or corresponding to
25
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SSS Similarity Theorem
If the corresponding side lengths of two triangles are proportional, then the triangles are similar.
26
New cards
AA Similarity Theorem
If two angles of one triangle are congruent to two angles of another, then the triangles are similar
27
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enlargement
A dilation with a scale factor greater than 1. In an enlargement, the image is larger than the preimage.
28
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reduction
a dilation with a scale factor between 0 and 1. The image is smaller than the preimage
29
New cards
Three Parallel Lines Theorem
If three parallel lines intersect two transversals, then they divide the transversals proportionally.
30
New cards
Triangle Bisector Theorem
If a ray bisects an angle in a triangle, then it cuts the opposite side proportionally to the other two sides
31
New cards
SAS Similarity Theorem
If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.
32
New cards
scale factor
the ratio of the lengths of two corresponding sides of two similar polygons. The multiplier used on each dimension to change one figure into a smaller figure
33
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parallel lines
lines in the same plane that never intersect
34
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Base Angles Theorem
If two sides of a triangle are congruent, then the angles opposite them are congruent.
Note 
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