Geometry Chapter 12 Flashcards
Geometry Chapter 12 Conjectures
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| 377264758 | If one polygon is the image of another polygon under a dilation, then___________ | the polygons are similar | 0 | |
| 377264759 | If the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are____________ | similar | 1 | |
| 377264760 | If _______ angles of one triangle are congruent to _________ angles of another triangle, then _____________ | 2, 2, the triangles are similar | 2 | |
| 377264761 | If two sides of one triangle are proportional to the two sides of another triangle and _______________, then the two triangle are similar | the included angles are congruent | 3 | |
| 377264762 | If two triangles are similar, then the corresponding __________, corresponding __________, and corresponding ______ ________ are _________ to the corresponding sides. | altitudes, medians, angle bisectors, proportional | 4 | |
| 377264763 | The 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 | |
| 377264764 | If 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^2 | 6 | |
| 377264765 | If two similar solids have corresponding dimensions in the ratio m/n, then their volumes are in the ratio of___________ | m^3/n^3 | 7 | |
| 377264766 | If 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, parallel | 8 | |
| 377264767 | If two or more lines pass through two sides of a triangle parallel to the third side, then they divide the two sides _________ | proportionally | 9 |