Similar Polygons Test

polygons must have which of the following characteristics to be considered similar?

-corresponding sides are equal -both polygons are the same shape -both polygons are the same size -corresponding sides are proportional

the ratio 6 to 9 in simplest form is

2/3

the extremes in the proportion 3/4=15/20 are

3 and 20

if a=3 and b=5, find a/b

3/5

ratio 21:28 in simplest form is

3:4

an important proportion that the ancient Greeks used was the

Golden Ratio

diagonal of a rectangular solid

a segment whose endpoint are vertices not in the same face

rectangular solid

a solid figure whose faces are all rectangles

in a pair of similar polygons, corresponding angles are congruent

always

the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse

always

the angles of similar triangle are equal

always

to be considered similar, two polygons must have ------ angles that are equal

corresponding

to be considered similar, two polygons must have corresponding sides that are ------

in proportion

a ratio is a comparison of two numbers by addition

never

in a 30-60-90 triangle the long leg is half the hypotenuse

never

the first and fourth terms of a proportion are called the means

never

a -------- is an equation which states that two ratios are equal

proportion

a ------ compares two numbers by division

ratio

a proportion is an equation that states two ------- are equal

ratios

triangles similar to the same triangle are ------- to each other

similar

if a line intersects two sides of a triangle, then it forms a triangle that is similar to the given triangle

sometimes

if two angles of one polygon are equal to two angles of a second polygon, then the two polygons are similar

sometimes

similar triangles are congruent

sometimes

to be considered similar, two polygons ------ have corresponding sides that are equal

sometimes

two ratios are equal to each other

sometimes

faces

the sides of a solid figure

a ratio compares

two numbers

in writing the ratio of measurement numbers, the ------ must be the same

units