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 i n the Unit 3B Packet Unit 3B ~ Quest is Thursday, February 4 th
Transcript of January 27, 2016€¦ · 7/1/2016 · January 27, 2016 Aim: SWBAT use properties of similar...
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
Day 01 Properties of Similar Triangles.notebook January 27, 2016
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
Day 01 Properties of Similar Triangles.notebook January 27, 2016
triangle JKL "is similar to" triangle DEF
CJV
Day 01 Properties of Similar Triangles.notebook January 27, 2016
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
Day 01 Properties of Similar Triangles.notebook January 27, 2016
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
Day 01 Properties of Similar Triangles.notebook January 27, 2016
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
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
