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