9.1 properties of similar figures learning objective: to use ratios and proportions to find measures...
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9.1 Properties of Similar FiguresLearning Objective: To use ratios and proportions to find measures of similar
figures and use scale models to find dimensions of objects.
Notes
Learning Objective: To use ratios and proportions to find measures of similar figures and use scale models to find dimensions of objects.
EX 1 – Tell whether the shapes are similar. Explain!
Similar figures•Corresponding angles are congruent
•Corresponding sides are in proportion
a.
S
T
U
10
X
V
W15
15
59º
No!
Corresponding angles are not congruent
is equilateral, STU
all angles are 60º.
Learning Objective: To use ratios and proportions to find measures of similar figures and use scale models to find dimensions of objects.
b. L
C
R
M N
B3.2
D
3.2
2.52.5
2.5
4.5
9
5
,L M C R all rt. s N N
reflexive propNBR NDC all quads = 360
90 90 360m N m B
90 90 360m N m D 90 90 90 90m N m B m N m D
transitive prop
m B m D subtraction prop
all s are Are the sides in proportion?
Learning Objective: To use ratios and proportions to find measures of similar figures and use scale models to find dimensions of objects.
L
C
R
M N
B3.2
D
3.2
2.52.5
2.5
4.5
9
5
LC
MR
5
2.5 2
CD
RB
9
4.5 2
DN
BN
6.4
3.2 2
LN
MN
5
2.5 2
Yes! LNDC MNBR
Learning Objective: To use ratios and proportions to find measures of similar figures and use scale models to find dimensions of objects.
EX 2 – A school band designed a new insignia for the back of their uniforms. A scale drawing of the insignia was made with a scale of 4:7. The insignia in the scale drawing is 5 cm wide and 12 cm tall. The insignia will be 8.75 cm wide on the uniforms. Find the height of the insignia.
height
width12
5
8.75
h
5h105h 21
4
7 12
21
check
HW – p. 449
#1-18, 26-28
Out – Compare and contrast similar and congruent figures.
Summary – Something new I learned was…
POW!!