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BIM 7th Adv - Chapter 3 - Benchmark 8 (2023-2024)

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Last updated about 4 hours ago
16 questions
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Question 1
1.

Find the value of x.

Question 2
2.

Find the sum of the interior angle measures of a regular polygon with 17 sides.

Question 3
3.

A polygon has 5 sides. The interior angle measures are 115°, 131°, 118°, 130°, and x°. Find the value of x.

Question 4
4.

In the figure shown, lines k and l are parallel.


Amy claims that m∠4 + m∠5 = m∠10 + m∠9.
Is Amy correct? Use appropriate mathematical language to justify your response. Enter your answer and your justification in the space provided.

Use the figure below to answer Questions 4-8.


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Question 10
10.

Find the value of x.

Question 11
11.

A streetlight that is 7.5 feet tall casts a 3-foot-long shadow. A nearby flagpole casts a 16.5-foot-long shadow. What is the height of the flagpole?

Question 12
12.

Find the value of x.

Find the measures of the numbered angles.


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Question 13
13.
∠1 = _______ °
∠2 = _______ °
∠3 = _______ °
∠8 = _______ °
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Question 14
14.

Find the value of x.

Question 15
15.

Line JM is parallel to line KL. The measure of angle KLM is 65°. Kevin states that he can determine the measures of all four interior angles from only the information given.


Kevin's statement is incorrect.
  • Explain which interior angle measure Kevin can determine from the given information.
  • What additional information about line JK and line ML must Kevin have in order to compute the measures of all four interior angles of figure JKLM?
  • Explain why this additional information is needed.

Question 16
16.

Determine whether the triangles are similar.

Question 5
5.

Describe the relationship between ∠2​ and ∠7​ .

Question 6
6.

Describe the relationship between ∠1​ and ∠2​ .

Question 7
7.

Describe the relationship between ∠1​ and ∠5​ .

Question 8
8.

Identify one pair of vertical angles.

Question 9
9.

Identify one pair of alternate interior angles.