Looking Ahead p. 3. Looking Ahead p. 4 SS Inv. 1.1 SS Inv. 1.2 Vocabulary: SimilarScale drawingImage Corresponding sidesCorresponding Angles.

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Presentation transcript:

Looking Ahead p. 3

Looking Ahead p. 4

SS Inv. 1.1 SS Inv. 1.2 Vocabulary: SimilarScale drawingImage Corresponding sidesCorresponding Angles

Vocabulary: Scale drawing - same shape as original, but may be larger or smaller Image – a copy of the original Corresponding sides – sides that have the same relative position in similar figures Corresponding Angles – angles that have the same relative position in similar figures Similar - ? By the end of today’s lesson you should have a good definition of similar!

New Unit - Stretching & Shrinking p. 7

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Model Using the Rubber Band Video Vocab : Image – The new picture is called the image of the original

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p. 13

The side lengths of the small figure are 0.75 (or 75%) times as long as the lengths of the original figure. The side lengths of the large figure are 1.5 times (or 150%) as large as the lengths of the original figure.

The angle measure remain the same!

The perimeters of the small figure are 0.75 times as long as the original. The perimeters of the large figure are 1.5 times as long as the original.

The area of the smallest figure is a little more than ½ the area of the original. The area of the largest figure is a little more than double the area of the original.

The length and perimeter comparison factors are the same as the copier size factors. How about the area? Since the sides are changed by a factor, the area (a product of the sides: l x w) is changed by a product of the factor and itself. (Squares of the copier size factors!)

The measures of the corresponding angles are the same, but the side lengths may be different. Each side length in the image is found by multiplying the original length by the same number. You would use 3 rubber bands, and use the second knot from the anchor point to trace the figure. Each side length is increased by a factor of 3/2 or 150%.