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9/30/13 Mon. Boot-Up 9.30.13 / 6 min. If BD = 6, DA = 2, & BC = 15, what is the length of side x?. Boot-Up 9.30.13 / 6 min. x. 6. 6. 15. 2. Find Problem 3-72. Today’s To-Do List: 3-72 3-82 3-73 3-83 3-86. 3-72. 3-73. Find Lesson 3.2.4.
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Boot-Up 9.30.13 / 6 min. If BD = 6, DA = 2, & BC = 15, what is the length of side x?
Boot-Up 9.30.13 / 6 min. x 6 6 15 2
Find Problem 3-72 • Today’s To-Do List: • 3-72 3-82 • 3-73 3-83 • 3-86
Is SSa valid similarity condition? 5 9 7 14 4 8 = 3-82a T-P-S No!!! SS is NOT a valid similarity condition!
Is ASAa valid similarity condition? 3-82b T-P-S Yes!!! It’s the same as AA. You don’t even need to know the side lengths if you know 2 s are . The side information is redundant. (More than you need.)
AA Triangle Similarity (AA): When 2 pairs of corresponding s are , the 2 s must be . If 2 pairs of s are ,the 3rd pair must also be .
Is SSSa valid similarity condition? YES IT IS! 3-84 - Linguini SSS Triangle Similarity (SSS): When 3 pairs of corresponding sides are proportional, then the s must be , an the 2 s must be .
Are 2 s with the same 3 side lengths always ? 3-85 a YES!
As you can see, even though side BC = BD , this side length is able to swivel such that 2 non-congruent sare created even though they have 2 sides and a , non-included . (SSA) ABC ABD The 2 s are NOT congruent 3-86
What are the 3 similarity conditions we proved / studied? 3-87 8 min.
What are the 3 similarity conditions we proved / studied? 2) SAS 3) SSS 1) AA 3 4 6 8
AA Triangle Similarity (AA): When 2 pairs of corresponding s are , the 2 s must be . If 2 pairs of s are ,the 3rd pair must also be .
SAS Triangle Similarity (SAS): When 2 pairs of corresponding sides are proportional, & the s between those sides are , then the other correspondingsmust also be ,& the remaining pair of sides must be proportional. 8 4 3 6
SSS Triangle Similarity (SSS): When 3 pairs of corresponding sides are proportional, then the s must be , an the 2 s must be .
Lesson 3.2.4 pgs 187 – 188 #s 3-88 – 3-93
Using the diagram at right, determine the following values: x = ______ y = ______ Boot-Up 10.2.13 / 6 min. 3.5 y x
Boot-Up 10.2.13 / 6 min. 3.5 y x
a) What similarity condition should Lynn use to prove the 2 s are similar? b) Make a flow chart showing these 2 s are similar. 3-94
3-60 Facts Conclusion Similarity Condition
3 6 1 2 8 16 1 2 = = B K ABC KLM 3-94
A K C L 54 ABC JKL What’s wrong with this Flow Chart? AA 36 3-95
3 3 5 5 1 1 = = M E DEF MNP SAS What’s wrong with this Flow Chart? 3-95
What’s wrong with this Flow Chart? 6 3 4 2 6 3 2 2 = = 2 = QRS GHI SSS 3-95
3 3 5 5 1 1 = = M E DEF NMP SAS What’s wrong with this Flow Chart? 3-96a
4 cm 12 cm 3 cm ? 54 ? ABC KJL ? 36 AA 3-96b
3-97a, b, c & d 8.4 4.2 16.4 8.2 2 = 2 = R C ? ? RUN CAT ? ? SAS
Lesson 3.2.5 pgs192 – 193 #s 3-99 – 3-104
Boot-Up 10.3.13 / 6 min. y The shapes at right are . Determine the following values: w= ______ y = ______ w
Boot-Up 10.3.13 / 6 min. y w
3-105 “Vicitim’s Eye-Height Your Eye-Height d 200 cm
3-106 h 4’ 12’ 942’
Chapter 3 Closure Today’s To-Do List: Review Chapter 3 Studies / Prep for End-Unit Test
The shapes below are . Determine the following values: z= ______ y= ______ Boot-Up 10.4.13 / 6 min. y z