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Geometry Chapter 12 Flashcards

Geometry Chapter 12 Conjectures

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377264758If one polygon is the image of another polygon under a dilation, then___________the polygons are similar0
377264759If the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are____________similar1
377264760If _______ angles of one triangle are congruent to _________ angles of another triangle, then _____________2, 2, the triangles are similar2
377264761If two sides of one triangle are proportional to the two sides of another triangle and _______________, then the two triangle are similarthe included angles are congruent3
377264762If two triangles are similar, then the corresponding __________, corresponding __________, and corresponding ______ ________ are _________ to the corresponding sides.altitudes, medians, angle bisectors, proportional4
377264763The angle bisector in a triangle divides the opposite side into two segments whose lengths are in the same ratio as ___________________the lengths of the two sides forming the angle.5
377264764If two similar polygons (or circles) have corresponding sides (or radii) in the ratio of m/n, then their areas are in the ratio of _________________m^2/n^26
377264765If two similar solids have corresponding dimensions in the ratio m/n, then their volumes are in the ratio of___________m^3/n^37
377264766If a line parallel to one side of a triangle passes through the other two sides, then it divides them ____________. Conversely, if a line cuts two sides of a triangle proportionally, then it is _________ to the third side.proportionally, parallel8
377264767If two or more lines pass through two sides of a triangle parallel to the third side, then they divide the two sides _________proportionally9

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