Chapter 11:True or False

An altitude of a triangle divides the opposite side into two segments whose lengths are in the same ratio as the other two sides.

False, angle bisector

If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the two triangles are congruent.

False, similar

If the corresponding angles of two quadrilaterals are congruent; then the two quadrilaterals are similar.

False; AND corresponding proportional sides

An angle bisector in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the adjacent angles.

False; adjacent sides

All parallelograms are similar

False; squares

If two sides of one triangle are proportional to two sides of another triangle, then the triangles must be similar

False; three sides (SSS) or (SAS)

If a line parallel to one side of a triangle passes through the other two sides, then it divides them ____________.

Proportionally

All circles are similar

True

All equilateral triangles are similar.

True

All regular pentagons are similar

True

Any two squares are similar

True

If a line intersects two sides of a triangle and its parallel to the third side, then the line divides the two sides it intersects proportionally.

True

If a line passes through two sides of a triangle, dividing them proportionally, then the line is parallel to the third side.

True

If two triangles are similar, then the corresponding altitudes are proportional to the corresponding sides.

True

If two triangles are similar, then the corresponding medians are proportional to the corresponding sides.

True

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

True (AA)

Two polygons are similar if and only if corresponding angles are ________________ and the corresponding sides are ___________________.

congruent; proportional