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Geometry Chapter 7.  A ratio is a comparison of two quantities  Ratios can be written:  a to b, a:b or a/b  the fractional form is the most common.

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Presentation on theme: "Geometry Chapter 7.  A ratio is a comparison of two quantities  Ratios can be written:  a to b, a:b or a/b  the fractional form is the most common."— Presentation transcript:

1 Geometry Chapter 7

2  A ratio is a comparison of two quantities  Ratios can be written:  a to b, a:b or a/b  the fractional form is the most common and easiest to use mathematically

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7  Two figures that have the same shape but not necessarily the same size are similar.  Two polygons are similar if BOTH: ◦ Corresponding angles are congruent AND ◦ Corresponding sides are proportional ◦ The ratio of the lengths of corresponding sides is the similarity ratio.

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14 Are the polygons similar? Explain. If they are similar, what is the similarity ratio?

15  On a blank sheet of paper, draw a line segment.  Glue the two angles you are given to the end points of the segment and finish the triangle by extending the remaining sides.  Measure the sides of your triangle to the nearest millimeter.  Compare your triangles to your table partners and determine if they are similar.

16  Are your triangles similar?  Complete this conjecture:  If two angle of one triangle are congruent to two angles of another triangle, then the triangles are ____________________

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19  Explain why the triangles must be similar.

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22 Homework: page 385 (1-19) all

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26  Homework: page 394 (9-21) all  Chapter 7 test next week Tuesday/Wednesday

27  warm up

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