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Geometry CH 7

Stepp's Prentice Hall Geometry Chapter 7- Similarity

A ___ is a statement that two fractions are equal Proportion
The cross product property states that ___ The product of the extremes equals the product of the means
The ___ is a number that compares each number in the drawing, map, or model to the actual measurement SCALE
Similar figures have CONGRUENT ANGLES
All lengths for similar figures are ____ PROPORTIONAL
The symbol for similare is ~
Similarity statements must list part in ___ order Corresponding
True or False- sharing two congruent angles is enough to be sure that triangles are similar TRUE
True or False - For SAS~, the angle can be found anywhere in the triangle FALSE - it has to be the included
True or False - If all 3 sides are proportional, then the triangles are congruent False - similar
To solve for a missing side when figures are similar ____ write and solve a proportion
The altitude to the hypotenuse divides the triangle into 2 triangles that are similar to each other and to the original triangle
When a compares to x the same way that x compares to b, x is the ____ geometric mean
The Geometric Mean between 16 and 4 is ___ 8
The altitude to the hypotenuse is the ____ between the segments of the hypotenuse Geometric Mean
____ of a right triangle is the geometric mean between the segment closest to it and the whole hypotenuse Each Leg
The side-splitter theorem works any time ___ a segment in a triangle is parallel to a side
If you have a case where the side splitter theorem, then ____ the sides are divided proportionately
Parallel lines cut transversals proportionately
An angle bisector of a triangle, divides the opposite side into two parts that are proportional to the other two sides of the triangle
True or False - Indirect Measurement is possible because of similarity True - you can solve a proportion
When a/x = x/b, x is the ___ geometric mean
to simplify a radical, ____ factor out any perfect squares
a squared + b squared = c squared
You can find a missing side of a right triangle using the ___ Pythagorean theorem
If you have a right triangle with legs of 3 and 4, then the hypotenuse is ___ 5 (its a 3,4,5 right triangle)
6, 8, 10 and 15,20, 25 are other examples of _____ multiples of a 3-4-5 right triangle
____ extend from a vertex to the opposite side at a right angle Altitudes
Created by: criswell216