Parallel and Perpendicular Lines

Question 1

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?

Revolt · Accepted Answer

Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Question 2

Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

Revolt · Accepted Answer

lines a and b must be parallel.

Question 3

In the diagram shown, the distance between points A and C is the same as the distance between points B and G.

Revolt · Accepted Answer

parallel.

Question 4

In the diagram, line a is the perpendicular bisector of KM.

Revolt · Accepted Answer

80 units

Question 5

In the diagram, the length of segment BC is 23 units.

Revolt · Accepted Answer

33 units

Question 6

In the diagram, the length of segment VS is 39 units.

Revolt · Accepted Answer

38 units

Question 7

Consider the incomplete paragraph proof.Given: P is a point on the perpendicular bisector, l, of MN.Prove: PM = PN

Revolt · Accepted Answer

point M

Question 8

Consider the diagram.

Revolt · Accepted Answer

TR

Question 9

Consider the diagram.

Revolt · Accepted Answer

skew.

Question 10

Consider the diagram.

Revolt · Accepted Answer

9

Parallel and Perpendicular Lines Answers

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