7.6 Using Proportional Relationships (Due 4/18/22)
star
star
star
star
star
Last updated 12 months ago
38 questions
Note from the author:
Essential Question: How can you use similar triangles to solve problems?
Learning Target: Students will be able to use the corresponding parts of similar triangles to construct proportions and use them to find the missing lengths.
Complete the entire assignment and show all work for credit.
Essential Question: How can you use similar triangles to solve problems?
Learning Target: Students will be able to use the corresponding parts of similar triangles to construct proportions and use them to find the missing lengths.
Complete the entire assignment and show all work for credit.
Concept Review
Required
10 points
10
Question 1
1.
Solve for the variable.
Required
10 points
10
Question 2
2.
Use one corner only and connect it to another corner to form a triangle. How many triangles can you form?
Required
10 points
10
Question 3
3.
What is the formula for the sum of all the angles of a polygon?
Required
10 points
10
Question 4
4.
Find the value of x.
(Hint: First find the total degrees of the interior angles of this polygon, then find out what is missing.)
Using Proportional
Relationships
Required
10 points
10
Question 5
5.
â–³ABC~â–³XYZ, so find the missing height h
Required
10 points
10
Question 6
6.
â–³ABC~â–³XYZ, so find the missing height h
Required
10 points
10
Question 7
7.
â–³ABC~â–³XYZ, so find the missing height h
Required
10 points
10
Question 8
8.
â–³ABC~â–³XYZ, so find the missing height h
Required
10 points
10
Question 9
9.
Jenny is 5 feet 2 inches tall. To find the height h of a light pole, she measured her shadow and the pole’s shadow. What is the height of the pole?
Required
10 points
10
Question 10
10.
Error Analysis
Andy wants to find the distance d across a river. He located points as
shown in the figure and then used similar triangles to find that d = 220.5 feet. How
can you tell without calculating that he must be wrong? Tell what you think he did
wrong.
10 points
10
Question 11
11.
A city is planning an outdoor concert for an Independence Day celebration. To hold speakers and lights, a crew of technicians sets up a scaffold with two platforms by the stage. The first platform is 8 feet 2 inches off the ground. The second platform is 7 feet 6 inches above the first platform. The shadow of the first platform stretches 6 feet 3 inches across the ground.
What is the correct triangle similarity statement? (Remember the order of the letters is important!)
â–³_______ ~â–³_______
Required
10 points
10
Question 12
12.
Use the information for the last problem to answer this question.
Find the length of the shadow of the second platform in feet and inches to the nearest inch.
Day 2 (4/19/22)
Proving Triangles Similar
Required
6 points
6
Question 13
13.
According to the page 10 notes, what are the theroems and postulate you can use to show triangles are similar?
1. _______
2. _______
3. _______
Required
15 points
15
Question 14
14.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______
â–³QRS~â–³_______
What is the postulate you used to prove they are similar?_______
Required
15 points
15
Question 15
15.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______
â–³V
TUV~â–³_______
What is the postulate you used to prove they are similar?_______
Required
15 points
15
Question 16
16.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______
â–³NML ~â–³_______
What is the postulate you used to prove they are similar?_______
Required
15 points
15
Question 17
17.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______
â–³RQP~â–³_______
What is the postulate you used to prove they are similar?_______
Required
15 points
15
Question 18
18.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______
â–³BCD~â–³_______
What is the postulate you used to prove they are similar?_______
Required
15 points
15
Question 19
19.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______
â–³UTS~â–³_______
What is the postulate you used to prove they are similar?_______
Required
15 points
15
Question 20
20.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Are they similar? _______
â–³KLM~â–³_______
What is the postulate you used to prove they are similar?_______
Day 3 (4/21/22)
10 points
10
Question 21
21.
Which two triangles, if any, have similarity that is symmetric?
Required
10 points
10
Question 22
22.
Are the triangles shown above (Image #1) similar? State the reason if they are.
Required
10 points
10
Question 23
23.
Are the triangles shown above (Image #2) similar? State the reason if they are.
Required
6.25 points
6.25
Question 24
24.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 25
25.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 26
26.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 27
27.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 28
28.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 29
29.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 30
30.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 31
31.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 32
32.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 33
33.
Are the triangles shown above similar? State the reason if they are.
6.25 points
6.25
Question 34
34.
Required
6.25 points
6.25
Question 35
35.
Are the triangles shown above similar? State the reason if they are.
Required
6.25 points
6.25
Question 36
36.
Are the triangles shown above similar? State the reason if they are.
Required
1 point
1
Question 37
37.
Determine whether the trianlges are similar. If so, write a similarity statement. Explain your reasoning.
Required
1 point
1
Question 38
38.
Determine whether the trianlges are similar. If so, write a similarity statement. Explain your reasoning.
