Quiz about Directed Line Segment Geometry

Question 1

Question 1.

Accepted Answer

(4)

Answer

(1)

Answer

(2)

Answer

(3)

Question 2

A line segment going in one direction is also called a.....

Accepted Answer

vector

Answer

line

Answer

line segment

Answer

arrow

Question 3

Directed line segment $$\overline{AB}$$ is partitioned by point P into a ratio of 2:3. Which of the following represent this relationship?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 4

Directed line segment $$\overline{AB}$$ is partitioned by point P into a ratio of 3:1. Which of the following represent this relationship?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 5

Given directed line segment $$\overline{AB}$$ , where A(0,0) and B(12,0). Determine the point P that partitions the segment into a 1:2 ratio.

Accepted Answer

P (4,0)

Answer

P (6,0)

Answer

P (3,0)

Answer

P (8,0)

Question 6

Given directed line segment $$\overline{AB}$$ , where A(0,0) and B(6,0) and point P (4,0). What is the partition ratio of this directed segment?

Accepted Answer

2:1

Answer

1:2

Answer

3:1

Answer

1:3

Question 7

True/False: a directed line segment has both distance and direction.

Accepted Answer

True

Answer

False

Question 8

True/False: Directed line segment could go from M to N OR from N to M.

Accepted Answer

False

Answer

True

Question 9

The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

Accepted Answer

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line CB

Answer

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line AC.

Answer

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z" across line CB.

Answer

Translate XYA using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z across line AC.

Question 10

The triangles are congruent. Which sequence of rigid motions takes triangle DEF onto triangle DEF onto triangle BAC.

Accepted Answer

Translate DEF using directed line segment EA. Rotate D'E'F' using A as the center so that D' coincides with B. Reflect D"E"F across line AB.

Answer

Translate DEF using directed line segment. EA. Rotate D'E'F' using A as the center so that D' coincides with C. Reflect D"E"F" across line AC

Answer

Translate DEF using directed line segment EA. Rotate D'E'F' using A as the center so that D' coincides with C. Reflect D"E"F" across line AB.

Answer

Translate DEF using directed line segment EA. Rotate D'E'F' using A as the center so that D' coincides with B. Reflect D"E"F across line AC.

Question 11

Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.

Accepted Answer

Angle EHF is congruent to angle FGH

Accepted Answer

EFGH is a rhombus.

Accepted Answer

Diagonal FH bisects angles EFG and EHG

Answer

Angle FEH is congruent to angle FGH

Answer

Diagonal FH is perpendicular to side FE

Question 12

When triangle ABC is reflect across line AB, the image is triangle ABD. Why is angle ACD congruent to angle ADB?

Accepted Answer

Corresponding parts of congruent figures are congruent.

Answer

Congruent parts of congruent figures are corresponding.

Answer

Segment AB is perpendicular bisector of segment DC

Answer

An isosceles triangle has a pair of congruent angles

Question 13

Write a sequence of rigid motions to take figure ABC to figure DEF.

Accepted Answer

Translate figure ABC by the directed line segment from C to F . Rotate the image of figure ABC using F as the center so that the image of B coincides with E.

Answer

Rotate figure ABC using B as the center. Translate figure ABC by the directed line segment from C to F so that the image of C coincides with F.

Answer

Translate figure ABC by the directed line segment from C to F. Reflect figure ABC over line segment FE so that the image of A coincides with D.

Answer

Reflect figure ABC over line segment FE so that the image of A coincides with D. Rotate figure ABC using B as the center.

Question 14

Which of the following is a sequence of rigid motions to take figure CBA to figure MLK?

Accepted Answer

Translate figure ABC by the directed line segment from C to M. Rotate the image of figure ABC using M as the center so that the image of B coincides with L.

Answer

Translate figure ABC by the directed line segment from B to L. Rotate the image of figure ABC using M as the center so that the image of A coincides with M.

Answer

Reflect figure ABC across segment CL. Reflect the image of figure ABC across segment BL.

Answer

There isn't a sequence of rigid motions to take figure CBA to figure MLK.

Question 15

Select all true statements based on the diagram.

Accepted Answer

Angle CEB is congruent to angle DEA

Accepted Answer

Segment DA is congruent to segment CB

Answer

Angle CBE is congruent to angle ABE

Answer

Segment DC is congruent to segment AB

Directed Line Segment Geometry

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