Log inSign up for FREE
Library

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

Last updated 12 months ago
23 questions
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

Required
30

Fill out the notes covering similar figures.

Required
40
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
_______=_______
Required
40
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
_______=_______
Required
5
The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.

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

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

x=_______
Required
5
If the scale factor of Figure A to Figure B is 7:2, find the perimeter of Figure A.

perimeter of A=_______
Required
5
If △ABC ~ △DEC, find the values of x and y.
x=_______
y=_______
Required
10
If △JKL ~ △NMP, find the value of x.
x=_______
Required
10
If △DGH ~ △DEF, find the value of x.
x=_______
Required
10
If △XYZ ~ △RST, find RS.
RS=_______
Required
10
If △ABC ~ △EDC, find AC.
AC=_______

Triangle Proportionality

Required
30

Complete the note for:

Triangle Proportionality Theorem

Required
10
Use the Triangle Proportionality Theorem to solve for x.

x=_______
Required
10
Use the Triangle Proportionality Theorem to solve for x.

x=_______
Required
10
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)_______
Required
10
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)
_______
Required
30

Complete the note for:

Parallel Lines and Proportional Parts

Required
10
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Required
10
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Required
10
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Required
10
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______
Required
10
Use the Parallel Lines and Proportional Parts to solve for x.

x=_______