Math: Chapter 6
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Ratio | a/b
a:b
a to b
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| Proportion | An equation that states two ratios are equal. a/b=c/d
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| Mean | In a/b=c/d b and c are the means.
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| Extreme | In a/b=c/d a and d are the extremes.
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| Geometric Mean | The positive number that satisfies a/x=x/b so x
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| Ratio | a/b
a:b
a to b
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| Proportion | A equation that states tow ratios are equal.
a/b=c/d
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| Extreme | In a/b=c/d A and D are the extremes.
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| Mean | In a/b=c/d B and C are the means.
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| Geometric Means | The positive number x that satisfies a/x=x/b so x•x=ab and x=√ab.
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| Cross Product Property | The Product of the extremes equals the products of the means.
ad=bc
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| Scale Drawing | A drawing that is the same shape as the object it represents.
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| Scale | The ratio that describes how the dimensions in a scale drawing are related to the original dimensions of the real object.
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| Reciprocal Property | If two ratios are equal their reciprocals are also equal.
a/b=c/d then b/a=d/c
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| Means Property | If you interchange the means of a proportion then you form another true proportion.
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| Denominator Property | If you add the value of each ratios denominator to its numerator, then you form another true proportion.
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| SImilar Polygons | If corresponding sides are proportional and corresponding angles are congruent then figures are similar.
Represented by ~
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| Scale Factor | The ratio of two corresponding lengths of two similar polygons.
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| Perimeters of Similar Polygons Theorem | If two polygons are similar the ratios of the perimeters is equal to the scale factor.
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| Angle Angle Similarity Postulate | If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
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| Side Side Side Similarity Theorem | If the corresponding side lengths of two triangle are proportional then the triangles are similar.
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| Side Angle SIde Similarity Theorem | If an angle of one triangle is congruent to the corresponding angle of a second triangle and the lengths of the sides including these angles are proportional then the triangles are similar.
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| Triangle Proportionality Theorem | If a line parallel to one side of a triangle intersects the other two then it divides those sides proportionally.
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| Converse of the Triangle Proportionality Theorem | If a line divides two side of a triangle proportionally then it is parallel to the third side.
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| Theorem 6.6 I | If three parallel intersect two transversals then they divide the transversals proportionally.
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| Theorem 6.7 | If a ray bisects an angle of a triangle then it divides the opposite side into segments that are proportional to the length of the other two sides.
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| Dialation | A transformation that stretches or shrinks a figure to create a similar figure.
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| Reduction | If the scale factor of a dilation is greater than zero but less than one the dilation is a reduction.
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| Enlargement | If the scale factor of a dilation is greater than one it is an enlargement.
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
18blake_jessica
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