5.20 Unit Test: Line and Triangle Relationships - Part 1 UNIT TEST: Line and Triangle Relationships - Part 1

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What are the coordinates of the centroid of a triangle with vertices P(−4, −1), Q(2, 2), and R(2, −3)? Enter your answers in the boxes.

( 0, −2/3​)

What are the coordinates of the circumcenter of a triangle with vertices A(−3, 3), B(−1, 3), and C(−1, −1)? Enter your answer in the box.

(−2, 1)

What are the endpoint coordinates for the midsegment of △PQR that is parallel to PQ? Enter your answer, as a decimal or whole number, in the boxes. https://static.k12.com/nextgen_media/assets/8080737-NG_GMT_SemA_05_UT_23.png To see the image please copy and paste the text above.

(−3.5, 0.5) and (−1, −0.5)

For what value of x is line m parallel to line n? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080706-NG_GMT_SemA_05_UT_07.png To see image please copy and paste the text above.

x = 20

Solve for y. Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080735-NG_GMT_SemA_05_UT_17.png To see the image please copy and paste the text above.

y = 10

What is the value of y? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080757-NG_GMT_SemA_05_UT_12.png To see the image please copy and paste the text above.

y =5

JKL​M is a parallelogram. What is the measure of ∠KLJ? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080738-NG_GMT_SemA_05_UT_26.png To see the image please copy and paste the text above.

∠KLJ = 25°

In △BCD, BP=15 cm. What the length of BX? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080712-NG_GMT_SemA_05_UT_19.png To see the image please copy and paste the text above.

10 cm

What is ​ BC ​? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080734-NG_GMT_SemA_05_UT_14.png To see the image please copy and paste the text above.

BC= 18 units

In parallelogram ABCD , diagonals AC and BD intersect at point E, BE=x2−40 , and DE=6x . What is BD ? Enter your answer in the box.

BD​ = 120 units

The measure of ∠BCD is 120°. The measure of ∠ABC is 85°. What is measure of ∠BAC? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080732-NG_GMT_SemA_05_UT_05.png To see the image please copy and paste the text above.

m∠BAC= 35

What is m∠C? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8080707-NG_GMT_SemA_05_UT_01.png To see the image please copy and paste the text above.

m∠C= 60


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