click below
click below
Normal Size Small Size show me how
Geometry CH 7
Stepp's Prentice Hall Geometry Chapter 7- Similarity
Question | Answer |
---|---|
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 |