Parts Of Similar Triangles 7-5

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seven-five: Parts of Like Triangles

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7-five: Parts of Similar Triangles Expectations: G1.2.5: Solve multi-stride bug and proofs about the properties of medians, altitudes and perpendicular bisectors to ... – PowerPoint PPT presentation

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Championship: 7-v: Parts of Similar Triangles

1
seven-5 Parts of Similar Triangles

Expectations
G1.2.5 Solve multi-pace problems and proofs
about the backdrop of medians, altitudes and
perpendicular bisectors to the sides of a
triangle and the angle bisectors of a triangle.
G2.3.4 Use theorems about similar triangles to
solve bug with and without the utilise of
coordinates.

ii
Proportional Perimeters Theorem

If two triangles are similar, and so the ratio of
corresponding perimeters is equal to the ratio of
corresponding sides.

iii
Proportional Perimeters Theorem
four

If ?ABC ?XYZ, AB xv, XY 25 and the
perimeter of ?XYZ 45, what is the perimeter of
?ABC?

5
Corresponding Altitudes Theorem

If two triangles are like, so the ratio of
respective altitudes is equal to the ratio of
corresponding sides.

6
Corresponding Altitudes Theorem
7
If ?CDE ?KLM, determine the value of ten.
Chiliad
sixteen
8
K
L
8
Corresponding Bending Bisectors Theorem

If two triangles are like, then the ratio of
respective angle bisectors is equal to the
ratio of corresponding sides.

9
Corresponding Angle Bisectors Theorem
10
The triangles beneath are similar and Advertisement and EH are
angle bisectors. Determine the perimeter of ?EHG.
11
Respective Medians Theorem

If two triangles are similar, and then the ratio of
corresponding medians is equal to the ratio of
corresponding sides.

12
Corresponding Medians Theorem
thirteen

?ABC ?XYZ. If the perimeter of ?XYZ is half as
much as the perimeter of ?ABC, and Advertizement and XU are
medians, decide the length of XU.

Ten
A
22
Z
U
Y
C
D
B
fourteen
Angle Bisector Theorem

An bending bisector of a triangle separates the
opposite side into segments that have the same
ratio as the other 2 sides.

15
Angle Bisector Theorem
16
Decide the value of 10 in the figure below.
24
x
14
12
17
Consignment

pages 373 377, 13 33 (odds), 43, 47-57
(all).

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