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Geometry 9-12 / Week 05
Week 05

Dilations and Similarity

// The scale model and the flashlight

A dilation has a center and a scale factor. It sends every point along the ray from the center, multiplying its distance by the factor. A line through the center stays where it is, a line not through the center goes to a parallel line, and every length is multiplied by the factor, so angles do not change. Two figures are similar when a sequence of rigid motions and dilations carries one onto the other. Similar triangles have equal corresponding angles and proportional corresponding sides, and two equal angles (AA) are enough to prove two triangles similar. This week the crew builds the cardboard scale model and throws shadows with a flashlight.

DAYS THIS WEEK

MONDAY

Monday

17 blocks · 4 graded

TUESDAY

Tuesday

18 blocks · 4 graded

WEDNESDAY

Wednesday

18 blocks · 3 graded

THURSDAY

Thursday

17 blocks · 4 graded

FRIDAY

Friday

13 blocks · 3 graded

SHOP DAY

Shop Day

9 blocks · 2 graded

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