5.20 Unit Test Line And Triangle Relationships

Question: For what value of x is line m parallel to line n?

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https://static.k12.com/nextgenmedia/assets/8080706-NGGMTSemA05UT07.png

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Answer: x = 20

Question: What is m∠C?

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https://static.k12.com/nextgenmedia/assets/8080707-NGGMTSemA05UT01.png

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Answer: m∠C= 60

Question: The measure of ∠BCD is 120°. The measure of ∠ABC is 85°.

What is measure of ∠BAC?

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https://static.k12.com/nextgenmedia/assets/8080732-NGGMTSemA05UT05.png

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Answer: m∠BAC= 35

Question: What is the value of y?

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https://static.k12.com/nextgenmedia/assets/8080757-NGGMTSemA05UT12.png

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Answer: y =5

Question: What is ​ BC ​?

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https://static.k12.com/nextgenmedia/assets/8080734-NGGMTSemA05UT14.png

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Answer: BC= 18 units

Question: Solve for y.

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https://static.k12.com/nextgenmedia/assets/8080735-NGGMTSemA05UT17.png

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Answer: y = 10

Question: What are the coordinates of the circumcenter of a triangle with vertices A(−3, 3), B(−1, 3), and C(−1, −1)?

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Answer: (−2, 1)

Question: What are the coordinates of the centroid of a triangle with vertices P(−4, −1), Q(2, 2), and R(2, −3)?

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Answer: ( 0, −2/3​)

Question: What are the endpoint coordinates for the midsegment of △PQR that is parallel to PQ?

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https://static.k12.com/nextgenmedia/assets/8080737-NGGMTSemA05UT23.png

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Answer: (−3.5, 0.5) and (−1, −0.5)

Question: In △BCD, BP=15 cm.

What the length of BX?

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https://static.k12.com/nextgenmedia/assets/8080712-NGGMTSemA05UT19.png

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Answer: 10 cm