T/GEOMETRY - UNIT 5
Polygons must have which of the following characteristics to be considered similar?
A 1:1 correspondence in vertices Corresponding angles are equal. Both polygons are the same shape Corresponding sides are proportional.
altitude of a triangle
An altitude of a triangle is a perpendicular line from a vertex to the opposite side.
Proportion
An equation that states that two ratios are equal
geometric mean
For any positive real numbers a, b, and x, if then x is called the geometric mean between a and b. Notice that
Ratio
The comparison of two numbers by division. The quotient is the ratio of the two numbers.
sine ratio
With respect to an acute angle of a right triangle, the ratio formed by the side opposite the acute angle over the hypotenuse.
cosine ratio
With respect to an acute angle of a right triangle, the ratio of the side adjacent to the angle over the hypotenuse
Similar polygons (shown by ~ ):
polygons whose vertices can be matched in 1:1 correspondence so that corresponding angles are equal and corresponding sides are in proportion.
Projection of a point on a line
the point where a perpendicular through the point to the line intersects the line.
Projection of a segment on a line
the portion of a line with endpoints that are the projections of the endpoints of the segment.