Unit E Flashcards
Two polygons are similar if…
- corresponding angles are congruent
- measures of corresponding sides are preportional
Ratio
It is a comparison of quantities by division
- a to b
- a:b
- a/b
Similarity Ratio
- ratio of the lengths of corresponding sides of similar polygons
Golden Rectangle Ratio
1.618/1
Angle Angle Similarity
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Side Angle Side Similarity
If an angle of one triangle is congruent to angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar
Side Side Side Similarity
If the corresponding sides of two triangles are proportional, then the triangles are similar.
Triangle Proportionality Theorem or Side Side Splitter Theor
If one line is parallel to one side of the triangle and intersects the other 2 sides, then it divides those sides proportionally.
Corallary to 8-4
If three parallel lines intersect two transversals, then the segments intercepted by the transversals are proportional
Angle Bisector Theorem
If a ray bisects an angle, then it divides the opposite side into to segments that are proportional to the other sides.
Dilation
A transformation that enlarges or reduces a figure in order to create a new figure
Scale Factor
A similarity ratio of the preimage to the image
Center of Dilation
- location at which the lines connect every point in the preimage to its corresponding point in the image
Theorem 8-6
If the similarity ratio of two similar figures is a/b, then
- perimeter ratio: a/b
- area ratio: a^2/b^2
