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Laabri

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

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Last updated 3 months ago
16 Nsɛmmisa
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8.G.A.5
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1.

Find the value of x.

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2.

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

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3.

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

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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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8.G.A.5
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8.G.A.5
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8.G.A.5
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Find the value of x.

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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?

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12.

Find the value of x.

Find the measures of the numbered angles.

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8.G.A.5
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14.

Find the value of x.

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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.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Determine whether the triangles are similar.

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5.

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

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6.

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

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7.

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

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8.

Identify one pair of vertical angles.

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9.

Identify one pair of alternate interior angles.