Directed Line Segments

​Mid Year Assessment Review Part 2 2022-2023

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Multiple Choice

Segment TV has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment? #2

• 29.00

• 32.25

• 47.92

• 49.07

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Multiple Choice

What is a rule that describes the translation QRST → Q'R'S'T' ? #5

• (x, y) → (x − 6, y + 2)

• (x, y) → (x + 6, y − 2)

• (x, y) → (x − 2, y + 6)

• (x, y) → (x + 2, y − 6)

Multiple Choice

Choose the statement that accurately describes the relationship between ABCD and EFGH. #22

• ABCD and EFGH are congruent, but not similar.

• ABCD and EFGH are similar, but not congruent.

• ABCD and EFGH are both congruent and similar.

• ABCD and EFGH are neither congruent, nor similar.

Directed Line Segment Formula

Remember to use Order of Operation

Multiple Choice

What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K with JP/KP = 1/5? $$x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1;\ y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1$$  #19

• (–13, –3)

• (–7, –1)

• (–5, 0)

• (17, 11)

Multiple Choice

Points C, D, and E are collinear on segment CE, and CD/CE = 3/8. C(1,3) and E(8, 4). What are the coordinates of D? #20

• (6.6 , 3.8)

• (29, 7)

• (-4.6, 2.2)

• ( 3.63, 3.38)

Multiple Choice

Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units.

What is AF? #37

• 51

• 11

• 15

• 43

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Multiple Choice

Find the value of x. #44

• $$84\degree$$

• $$90\degree$$

• $$92\degree$$

• $$101\degree$$

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