Ch. 8 Always, Sometimes, Never

Pataasin ang iyong marka sa homework at exams ngayon gamit ang Quizwiz!

Two right triangles are similar.

- sometimes

What two things do similar polygons have?

- Corr. angles must be congruent. - The ratios of the core. sides must be congruent.

Reduction

- From big to small

Dilation

- From small to big *Enlargement

Two equilateral polygons are similar.

- Sometimes

Two rectangles are similar if neither is a square.

- Sometimes

Means-Extremes Products Theorem

a:b=c:d In a proportion, the product of the means is equal to the product of the extremes

Two equilateral triangles are similar.

- always

Two issues. triangles are similar if their vertex angles are congruent.

- always

Two issues. triangles are similar if they have a pair of base angles.

- always

Two right triangles are similar if the legs of one are proportional to the legs of another.

- always

An equilateral triangle is similar to a scalene triangle.

- never

An obtuse triangle is similar to an acute triangle.

- never

The geometric mean of two whole numbers is 0.

- never

If the ratio of the measures of a pair of corn. angles of two polygons is 3:4, then the ratio of the polygons' perimeter is 5:6.

- sometimes

Two equiangular polygons are similar.

- sometimes

Means-Extremes Ratio Theorem

If the product of a pair of nonzero number's is equal to the product of another pair of nonzero numbers, then either pair of numbers may be made the extremes, and the other pair the means, of a proportion.

If the ratio of the perimeter of two triangles is 1:2, then the triangles are similar.

- sometimes

If two triangles are similar, then they are congruent.

- sometimes

If two regular polygons have the same number diagonals, then they are similar.

- always

If two triangles are congruent, then they are similar.

- always

If two sides of a triangle are proportional to two sides of another triangle, then these two triangles are similar.

- sometimes

Two isos. triangles with congruent bases are similar.

- sometimes

Two issues. triangles are similar if they have a pair of congruent angles.

- sometimes


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