Stepp's Prentice Hall Geometry Chapter 7- Similarity
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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A ___ is a statement that two fractions are equal | Proportion
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The cross product property states that ___ | The product of the extremes equals the product of the means
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The ___ is a number that compares each number in the drawing, map, or model to the actual measurement | SCALE
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Similar figures have CONGRUENT | ANGLES
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All lengths for similar figures are ____ | PROPORTIONAL
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The symbol for similare is | ~
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Similarity statements must list part in ___ order | Corresponding
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True or False- sharing two congruent angles is enough to be sure that triangles are similar | TRUE
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True or False - For SAS~, the angle can be found anywhere in the triangle | FALSE - it has to be the included
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True or False - If all 3 sides are proportional, then the triangles are congruent | False - similar
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To solve for a missing side when figures are similar ____ | write and solve a proportion
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The altitude to the hypotenuse divides the triangle | into 2 triangles that are similar to each other and to the original triangle
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When a compares to x the same way that x compares to b, x is the ____ | geometric mean
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The Geometric Mean between 16 and 4 is ___ | 8
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The altitude to the hypotenuse is the ____ between the segments of the hypotenuse | Geometric Mean
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____ of a right triangle is the geometric mean between the segment closest to it and the whole hypotenuse | Each Leg
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The side-splitter theorem works any time ___ | a segment in a triangle is parallel to a side
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If you have a case where the side splitter theorem, then ____ | the sides are divided proportionately
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Parallel lines cut transversals | proportionately
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An angle bisector of a triangle, divides the opposite side into two parts that are | proportional to the other two sides of the triangle
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True or False - Indirect Measurement is possible because of similarity | True - you can solve a proportion
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When a/x = x/b, x is the ___ | geometric mean
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to simplify a radical, ____ | factor out any perfect squares
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a squared + b squared = | c squared
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You can find a missing side of a right triangle using the ___ | Pythagorean theorem
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If you have a right triangle with legs of 3 and 4, then the hypotenuse is ___ | 5 (its a 3,4,5 right triangle)
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6, 8, 10 and 15,20, 25 are other examples of _____ | multiples of a 3-4-5 right triangle
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____ extend from a vertex to the opposite side at a right angle | Altitudes
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