8.4 similar triangles
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Geometry Mrs. Blanco. 8.4 Similar Triangles. Objectives. Identify similar triangles Use similar triangles in real-life problems. Ex. 1: Writing Proportionality Statements. In the diagram, ∆BTW ~ ∆ ETC a) Write the statement of proportionality . b) Find m TEC . mTEC = 79 ° - PowerPoint PPT Presentation
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GeometryMrs. Blanco
Identify similar triangles
Use similar triangles in real-life problems
In the diagram, ∆BTW ~ ∆ETC
a) Write the statement of proportionality.
b) Find mTEC. mTEC = 79°
c) Find ET and BE NEXT SLIDE
12
203
T
B W
E C
79°
34°
ET TC ECBT TW BW
In the diagram, ∆BTW ~ ∆ETC.
c. Find ET and BE.
12
203
T
B W
E C
79°
34°
CEWB
ETBT
=
312
ET20
=
3(20) = 12ET
ET=5
Write proportion.
Substitute values.
Divide
So, ET is 5 units and BE is 15 units.
Cross Multiply
If two angles of one triangle are congruent to the two angles of another triangle, then the two triangles are similar.
If K Y and J X, then ∆JKL ~ ∆XYZ.
K
J
L
Y
X
Z
x=24 and y=16Yes, ΔPQR~ΔLMN
BX= 0.75 milesCX= 2.25 miles
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