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Geometry: Chapter 7

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Section 1

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SAS triangle similarity theorem

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Geometry Math

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Date created

Mar 1, 2020

Cards (23)

Section 1

(23 cards)

SAS triangle similarity theorem

Front

If an angle of one triangle is congruent to the corresponding angle of another triangle AND the lengths of the sides including these angles are in proportion, the triangles are similar

Back

Dilation

Front

A transformation that changes the size of a figure but not its shape, not a rigid motion

Back

Perimeter of similar figures

Front

If two figures are similar, then the ratio of their perimeters is equal to the ratio of their corresponding side lengths

Back

Scale Factor

Front

describes how much a figure is enlarged or reduced the ratio of the liner measurement of the image to a corresponding measurement of the pre-image

Back

Two-Transversal Proportionality

Front

If three or more parallel lines intersect two transversals, then they divide the transversals proportionally

Back

SSS triangle similarity theorem

Front

If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar

Back

enlargement

Front

a dilation with a scale factor greater than 1

Back

Proportion

Front

An equation stating that two ratios are equal

Back

Converse of the Triangle Proportionality Theorem

Front

If a line divides two sides of a triangle proportionally, then it is parallel to the third side

Back

Right Triangle Altitude Theorem

Front

The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle ABC ~ ACD ~ CBD

Back

Reasons to proving similar triangles

Front

AA~, SAS~ or SSS~

Back

Similarity ratio

Front

The ratio of the lengths of the corresponding sides of two similar polygons

Back

Triangle Angle Bisector Theorem

Front

An angle bisector of a triangle divides the opposite side into two segments whose lengths are promotional to the lengths of the other two sides

Back

Similar figures

Front

Figures that are similar (~) have the same shape but not necessarily the same size

Back

Why would two polygons be similar?

Front

Two polygons are similar polygons if and only if their corresponding angles are congruent and their corresponding sides are proportional

Back

Cross Products Property

Front

In a proportion, the product of the extremes is equal to the product of the means

Back

Triangle Proportionality Theorem

Front

If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally

Back

Perimeters, medians, angle bisectors, sides and altitudes

Front

Ratios of these are proportional in any similar shape or triangle

Back

Construction: Divide a segment into n congruent parts

Front

Justification: Converse of the corresponding angles postulate Two-Transversal Proportionality Theorem

Back

Triangle Similarity: Coordinate Geometry Proof

Front

Plot the points and using the distance or slope formulas prove the triangles similar by AA~, SAS~ or SSS~

Back

reduction

Front

a dilation with a scale factor less than 1

Back

AA triangle similarity theorem

Front

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar

Back

Ratio

Front

Compares two numbers by division

Back