Geo Test Ch.7

Front 1

Similar Polygons

Back 1

Two polygons are similar if and only if
their corresponding angles are congruent
and the measures of their corresponding sides are proportional.

Front 2

AA Similarity Postualate

Back 2

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

Front 3

SSS Similarity Theorem

Back 3

If the measures of the corresponding sides of two triangles are proportional,
then the triangles are similar.

Front 4

SAS Similarity Theorem

Back 4

If the measures of two sides of a triangle are proportional
to the measures of two corresponding sides of another triangle
and the included angles are congruent,
then the triangles are similar.

Front 5

Similarity of triangles is _______, ___________, ____________,

Back 5

Similarity of triangles is reflexive, symmetric, and transitive.

Front 6

Triangle Proportionality

Back 6

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

Front 7

If a line intersects two sides of a triangle...

Back 7

and divides those sides proportionally,
then the line is parallel to the third side.

Front 8

A segment whose endpoints are the midpoints......

Back 8

of two sides of a triangle
is parallel to the third side and half the length.

Front 9

If three or more parallel lines intersect two transversals...

Back 9

then they divide the transversals proportionally.

Front 10

If three or more parallel line cut....

Back 10

off congruent segments on one transversal
then they cut off congruent segments on every transversal.

Front 11

Angle Bisector Theorem

Back 11

An angle bisector of a triangle
divides the opposite side
into segments
proportional to the other two sides.

Front 12

If two triangles are similar...

Back 12

then the measure of the corresponding
altitudes
medians
angle bisectors
perimeters
are proportional to the measure of the corresponding sides.