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.
Fill out the notes covering similar figures.
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
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
The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.
The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.
If the scale factor of Figure A to Figure B is 4:5, find the value of x.
x=
If the scale factor of Figure A to Figure B is 7:2, find the perimeter of Figure A.
perimeter of A=
If △ABC ~ △DEC, find the values of x and y.
x=
y=
If △JKL ~ △NMP, find the value of x.
x=
If △DGH ~ △DEF, find the value of x.
x=
If △XYZ ~ △RST, find RS.
RS=
If △ABC ~ △EDC, find AC.
AC=
Complete the note for:
Triangle Proportionality Theorem
Use the Triangle Proportionality Theorem to solve for x.
x=
Use the Triangle Proportionality Theorem to solve for x.
x=
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)
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)
Complete the note for:
Parallel Lines and Proportional Parts
Use the Parallel Lines and Proportional Parts to solve for x.
x=
Use the Parallel Lines and Proportional Parts to solve for x.
x=
Use the Parallel Lines and Proportional Parts to solve for x.
x=
Use the Parallel Lines and Proportional Parts to solve for x.
x=
Use the Parallel Lines and Proportional Parts to solve for x.
x=