1. HW, packet, red pen, pencil, highlighter, & calculator
U8D6
Have Out:
HW, packet, red pen, pencil, highlighter, & calculator
Jake stands 12 feet away from a tree. He looks into a mirror that he put 2 feet in front of him and can see the top of the tree. His eye level is 5 feet high. How tall is the tree?
Bellwork: x +2
5 ft ?
2 ft
10 ft
12 ft

2. The tree is 25 feet tall. ACD ~  BCE (AA~ Thm)
Are the triangles similar? E
AD and BE are  to AB
A  B (Def of / Right s ) +1 +1
ACD  BCE ( of Incidence =  of Reflection)
ACD ~  BCE (AA~ Thm) +1 +1 x D
5 ft
2 ft
10 ft A C B +1 or
or…
The tree is 25 feet tall. +1

3. Work on S-56...
you have 7 min.
to complete it!

4. 12u 9u2 16u 16u2 20u 25u2 S 56 fig. a fig. b fig. c figure c figure a
figure b
figure d
figure e
side length
perimeter
area 1u
2(1)=2u
3(1)=3u
4(1)=4u
5(1)=5u 4u 8u
1u2
4u2
fig. d
fig. e
12u
9u2
16u
16u2
20u
25u2
figure c to figure a
figure d to figure a
figure d to figure b
Ratio of:
Similarity
Side lengths
perimeters
areas

5. The area ratio is the square of the ratio of similarity.
c) Use the results from part (b) to write a summary of your observations about the relationships between side ratios, perimeter ratios, & area ratios in relation to the ratio of similarity. Look for a pattern & formulate your ideas into a conjecture.
The side ratio & perimeter ratios are equal to the ratio of similarity (r).
The area ratio is the square of the ratio of similarity.

6. ( ) ( ) For EACH set of similar figures, do all 3 tasks. a) b)
Calculate the area of each figure.
Write the ratio of the areas, small:large, and reduce.
Write the ratio of the shortest pair of corresponding sides, small:large, reduce if possible, and then square it. a) b) 4 5 10 3 6 8 12 24
A= ½ bh
A= ½ bh
A= ½ (5)(12)
A= ½ (10)(24)
A= ½ (3)(6)
A= ½ (8)(4)
= 30 u2
= 120 u2
= 9 u2
= 16 u2 ( ) 2 ( ) 2

7. ( ) For EACH set of similar figures, do all 3 tasks. c)
Calculate the area of each figure.
Write the ratio of the areas small:large and reduce.
Write the ratio of the shortest pair of corresponding sides, small:large, reduce if possible, and then square it. c) 9
4.5 10 20
A= bh
A= (9)(20)
A= (4.5)(10)
= 180 u2
= 45 u2 ( ) 2

8. 6 4 10 12 15 25 30 d) A= A= 20 4 8 10 10 4 25 10
= (4•10)+ (½•4•8)
= (25•10)+ (½•10•20) = =
= 56 u2
= 350 u2 ( ) 2 e)
The side ratio is the SAME as the ratio of similarity (r) & the area ratio is always the square of r!

9. Finish your assignment: