Essential Question: If you know two figures are similar, what can you determine about
measures of corresponding angles and lengths Learning Target: Students will be able to construct proportions from similar polygons and use them to determine the measures of the corresponding angles and side lengths of those polygons. Complete the entire document and show all work for credit.
Essential Question: If you know two figures are similar, what can you determine about
measures of corresponding angles and lengths Learning Target: Students will be able to construct proportions from similar polygons and use them to determine the measures of the corresponding angles and side lengths of those polygons. Complete the entire document and show all work for credit.
What is the name of the relationship between angle 5 and angle 7?
What is the relationship between angle 2 and angle 6?
Select all the vertical angles to ∠6
What is the value of x?
What is the value of z?
What is the correct order of steps to solve this similarity problem?
If △DEF ~ △HJG; find x
Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:
Simplify the equation to
Divide both sides of the equation by 9:
Replace the all the sides with numbers:
JG is the side that has to be in the proportion created because it contains x, so create a proportion using corresponding sides from each triangle:
x=20
Cross multiply to make the equation:
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △DEF ~ △HJG; find x
What is the correct order of steps to solve this similarity problem?
If △QRS ~ △TUV; find x
Divide both side of the equation by 54:
Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:
Replace the all the sides with numbers:
UT is the side that has to be in the proportion created because it contains x, so create a proportion with UT using corresponding sides from each triangle:
Simplify the equation to
x=11
Cross multiply to make the equation:
Subtract 270 from both sides of the equation:
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △QRS ~ △TUV; find x
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △AGM ~ △KXD; find x
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △TLY ~ △CHK; find x
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △BCD ~ △FGE; find FE
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △MNP ~ △QRP; find x
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If ▱KLMN ~ ▱PQRS; find x
Determine the scale factor of the dilation that transformed triangle ABC to triangle A'B'C'.
What is the dilation of △ ABC → △ A'B'C'? Page 12
A (0, 4) B (5,5) C (3,3)
A’ (0, 8) B’ (10, 10) C’ (6, 6)
Part II
Triangle Inequalities
Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
18 in, 6 in, 13 in
Therefore this
Find the measure of the indicated angle.
m∠C=
m∠A=
Solve for x.
Find the length of the indicated side.
x=
DE=
m∠E=
Solve for x.
Find the length of the indicated side.
x=
OM=
m∠G=
What is the value of x?
What is the value of x?
What is the value of x?
What is the value of x?
Use the new "side-splitter" Theorem to create a proportion to solve for x.
Use the new "side-splitter" Theorem to solve for x.
Use the new "side-splitter" Theorem to create a proportion to solve for x.
Use the new "side-splitter" Theorem to solve for x.
Use the new "side-splitter" Theorem to solve for x.
