January 3—How were the causes of WWI and WWII similar? Different?
January 27, 2016€¦ · 7/1/2016 · January 27, 2016 Aim: SWBAT use properties of similar...
Transcript of January 27, 2016€¦ · 7/1/2016 · January 27, 2016 Aim: SWBAT use properties of similar...
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
January 27, 2016
Aim: SWBAT use properties of similar triangles to find missing lengths of similar figures.
Do Now: #'s 1 - 4 at the top of Page 1
Homework: Page 3 (bottom) and Page 4 in the Unit 3B Packet
Unit 3B ~ Quest is Thursday, February 4th
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
there is a proportional relationship between the sides of the figures.
equal in measure
aa
b
b
cc
a
b
c
d
a
b
c
d
** We use a single loop to show the first pair of congruent angles, then a double loop to show a second pair, a triple loop to show the third pair and so on.
Δ CAT Δ ATC Δ TCAΔ CTA Δ ACT Δ TAC
CA, AT and TC ** letters can be switched
C, A and TRight
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
triangle JKL "is similar to" triangle DEF
CJV
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
J and D K and E L and F
JK and DE KL and EF JL and DF
JK DE
JL DF
= 3 6
x 14
=14 3 = 6 x
7 = x
42 = 6x6 6
TW CJ
WV JV
= x 15
2 6
=
15 2 = 6 x
5 = x
30 = 6x6 6
DF BC
AD AB
= x 16
6 20
=
16 6 = 20 x
4.8 = x
96 = 20x20 20
triangle JKL "is similar to" triangle DEF
= 7 unitsJL
= 5 unitsTW
= 4.8 unitsDF
CJV
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
45 30
= 12 x
12 30 = 45 x
8 = x
360 = 45x45 45
8 feet
left right
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
45 30
= 12 x
12 30 = 45 x
8 = x
360 = 45x45 45
8 feet
left right
N and RM and QP and S
MN and QRMP and QSNP and RS
N and R
M and QP and S
MN and QRMP and QSNP and RS
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Day 01 Properties of Similar Triangles.notebook January 27, 2016
x 8
6 4
=
8 6 = 4 x
12 = x4 4
TU = 12 ft
48 = 4xOR
x 8
9 6
=
8 9 = 6 x
12 = x6 6
72 = 6x
x 6
25 10
= 25 6 = 10 x
15 = x10 10150 = 10x
15 ft
big little
solve for x x 35
18 45
=
35 18 = 45 x
14 = x4545
14 mm
630 = 45x
solve for y y 25
18 45
=
25 18 = 45 y
10 = y10 mm
450 = 45y4545
solve for x x 25
8 20
=
25 8 = 20 x
10 = x20 20
10 m
200 = 20x
solve for y y 30
8 20
=
30 8 = 20 y
12 = y20 20
12 m
240 = 20y