Directed Line Segments and Modeling — Unit test

Question 1

Consider △RST and △RYX.

Revolt · Accepted Answer

StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

Question 2

Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2 and the length of P B is 3. The Length of A A prime is 4 and the length of B B prime is 5.

Revolt · Accepted Answer

No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Question 3

On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.Which expression correctly uses the formula to find the location of point R?

Revolt · Accepted Answer

(StartFraction 3 Over 3 + 5 EndFraction) (2 minus (negative 14)) + (negative 14)

Question 4

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.

Revolt · Accepted Answer

units

Question 5

Triangles A B C and A double-prime B double-prime C double-prime connect at point C. Triangle A B C is rotated and then made smaller to form triangle A double-prime B double-prime C double-prime.

Revolt · Accepted Answer

a dilation and a rotation

Directed Line Segments and Modeling — Unit test Answers

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