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.
Day 1 (4/11/22)
Concept Review
Required
1 point
1
Question 1
1.
What is the name of the relationship between angle 5 and angle 7?
Required
1 point
1
Question 2
2.
What is the relationship between angle 2 and angle 6?
Required
10 points
10
Question 3
3.
Select all the vertical angles to ∠6
Required
5 points
5
Question 4
4.
What is the value of x?
Required
5 points
5
Question 5
5.
What is the value of z?
Similar Polygons
Required
16 points
16
Question 6
6.
What is the correct order of steps to solve this similarity problem?
If △DEF ~ △HJG; find x
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:
Cross multiply to make the equation:
Replace the all the sides with numbers:
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:
x=20
Required
10 points
10
Question 7
7.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △DEF ~ △HJG; find x
Required
16 points
16
Question 8
8.
What is the correct order of steps to solve this similarity problem?
If △QRS ~ △TUV; find x
Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:
Divide both side of the equation by 54:
Replace the all the sides with numbers:
Cross multiply to make the equation:
Subtract 270 from both sides of the equation:
Simplify the equation to
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:
x=11
Required
10 points
10
Question 9
9.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △QRS ~ △TUV; find x
Required
10 points
10
Question 10
10.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △AGM ~ △KXD; find x
Required
10 points
10
Question 11
11.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △TLY ~ △CHK; find x
Required
10 points
10
Question 12
12.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △BCD ~ △FGE; find FE
Required
10 points
10
Question 13
13.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △MNP ~ △QRP; find x
Required
10 points
10
Question 14
14.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If ▱KLMN ~ ▱PQRS; find x
Day 2 (4/12/22)
Concept Review
Required
10 points
10
Question 15
15.
Determine the scale factor of the dilation that transformed triangle ABC to triangle A'B'C'.
10 points
10
Question 16
16.
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
Required
10 points
10
Question 17
17.
Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
18 in, 6 in, 13 in
_______+_______ =_______; and 19 _______ 18
Therefore this _______ a triangle
Part I
Isosceles and Equilateral Triangles
Required
10 points
10
Question 18
18.
Find the measure of the indicated angle.
m∠C=_______
m∠A=_______
Required
10 points
10
Question 19
19.
Solve for x.
Find the length of the indicated side.
x=_______
DE=_______
m∠E=_______
Required
10 points
10
Question 20
20.
Solve for x.
Find the length of the indicated side.
x=_______
OM=_______
m∠G=_______
Triangle Proportionality
Required
10 points
10
Question 21
21.
What is the value of x?
Required
10 points
10
Question 22
22.
What is the value of x?
Required
10 points
10
Question 23
23.
What is the value of x?
Required
10 points
10
Question 24
24.
What is the value of x?
Day 3 (4/13/22)
Special Triangle Similarity Theorems
Required
10 points
10
Question 25
25.
Use the new "side-splitter" Theorem to create a proportion to solve for x.
Required
10 points
10
Question 26
26.
Use the new "side-splitter" Theorem to solve for x.
Required
10 points
10
Question 27
27.
Use the new "side-splitter" Theorem to create a proportion to solve for x.
Required
10 points
10
Question 28
28.
Use the new "side-splitter" Theorem to solve for x.
Required
10 points
10
Question 29
29.
Use the new "side-splitter" Theorem to solve for x.
