1. Pg 520-521: 1—21 all; Pg 483: 9—17, 18—26 even, 41, 56, 57

2. Chapter 8 Review

3. To help with units: (just write the ones you don’t know. 1 ft = 12 in, 3 ft = 1 yard 5280 ft = 1 mi, 100 cm = 1 m 1000 g = 1 kg, 16 oz = 1 lb 1000 m = 1 km Generally, I’d convert to smaller units

4. Extremes – First and last terms Means – Middle terms Cross-product property When you equate to ratios, it’s called a proportion.

5. A miniature goat is 12 inches tall, while a regular goat is 42 inches tall. If a miniature goat’s leg is 2 inches tall, how tall is the real goat’s leg? If a real goat body is 50 inches long, then how long is the body of a miniature goat?

6. N O L M E NO OL NL NM ME NE 4 2 8 6 16 24 6 9 12 18 24 3

7. AA Similarity Postulate – If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. A B C A’ B’ C’

8. A B C D EF

9. 12 9 16 12 Are these triangles? NO! No A** ~ thrm. 12 16 22.5 30 12 Yes, SAS ~ Thrm. VAT, 3:4 Yes, SSS ~ Thrm. 3:4 No, they’re squares genius Are these triangles similar?

10. Similar? Yes? No? Why? 90 0 50 0 40 0 12 15 8 10 20 16

11. Man and his shadow, measuring tall buildings. More tall buildings, with a 200 feet piece of string.

12. AL B CM D Triangle Proportionality Theorem – If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. T P R Q S 6 2 3 x Converse of Triangle Proporitionality Theorem - If the sides are proportional, then the lines are parallel.

13. Theorem – If three || lines intersect two transversals, then they divide the transversals proportionally. R S T X Y Z Triangle Angle-Bisector Thrm – If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides. F D G E Suggestion, memorize this one in the way that makes the most sense to you.

14. 14 3 x 8 y 4 12 18 x 8 20 x 12

15. Identify scale factor, state if it’s a reduction or enlargement (double checking), find unknown variables. 2 6 A B C A’ B’ C’ Enlargement (this should match up with scale factor) 2x 18 Find x, y, z 4y 4 (2z) o 30 o x = 3 y = 3 z = 15 O

16. Pg 520-521: 1—21 all; Pg 483: 9—17, 18—26 even, 41, 56, 57

17. 5 – 13 Wheelchair ramp, convert units What shows similarity? Scale Factor Similar? Similarity, match up letters Similar triangles word problem, shadows Similarity theorems Word problem, lake width Parallel lines, transversal Scale factor with percentages