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8.3 Using Similar Triangles (Due 5/21/2024)

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Last updated about 1 year ago
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Essential Question: When a line parallel to one side of a triangle intersects the other two sides, how does it divide those sides?
Learning Target: Student will be able to use the Triangle Proportionality Theorem to use similar triangles to solve real world problems.

Complete the entire document and use full sentences when prompted for full credit. Responses without work will receive no points.

Similar Triangles

Question 1
1.

Fill out the notes covering similar figures.

Question 2
2.
Use this similarity statement △XYZ ~△RYS to list the similar parts.


∠X=∠_______
∠S=∠_______
∠Y=∠_______

XY~_______
RS~_______
YZ~_______

Write a proportion based on the corresponding sides
_______=_______
Question 3
3.
Use this similarity statement △FGH ~△JKH to list the similar parts.


∠H=∠_______
∠J=∠_______
∠G=∠_______

JH~_______
GH~_______
FG~_______

Write a proportion based on the corresponding sides
_______=_______
Question 4
4.
The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.

_______:_______
Question 5
5.
The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.

_______:_______
Question 6
6.
If the scale factor of Figure A to Figure B is 4:5, find the value of x.

x=_______
Question 7
7.
If the scale factor of Figure A to Figure B is 7:2, find the perimeter of Figure A.

perimeter of A=_______
Question 8
8.
If △ABC ~ △DEC, find the values of x and y.
x=_______
y=_______
Question 9
9.
If △JKL ~ △NMP, find the value of x.
x=_______
Question 10
10.
If △DGH ~ △DEF, find the value of x.
x=_______
Question 11
11.
If △XYZ ~ △RST, find RS.
RS=_______
Question 12
12.
If △ABC ~ △EDC, find AC.
AC=_______

Triangle Proportionality

Question 13
13.

Complete the note for:

Triangle Proportionality Theorem

Question 14
14.
Use the Triangle Proportionality Theorem to solve for x.

x=_______
Question 15
15.
Use the Triangle Proportionality Theorem to solve for x.

x=_______
Question 16
16.
Use the Converse of the Triangle Proportionality Theorem to prove that MN || JL.

Is MN || JL? _______

What is the proportion you used to prove the lines are parallel? (If they are not parallel, then write not parallel)_______
Question 17
17.
Use the Converse of the Triangle Proportionality Theorem to prove that MN || JL.
Is MN || JL?
_______

What is the proportion you used to prove the lines are parallel? (If they are not parallel, then write not parallel)
_______
Question 18
18.

Complete the note for:

Parallel Lines and Proportional Parts

Question 19
19.
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Question 20
20.
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Question 21
21.
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Question 22
22.
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Question 23
23.
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______