Vocabulary & Definitions
An infinite set of points extending in both directions with no endpoints
What is a line?
M is the midpoint of line segment RS. If RM = 6x - 2 and MS = 3x + 7, what is x?
What is x = 3?
Two vertical angles are represented by (6x + 7) and (8x - 17). Solve for x.
What is x = 12?
What is the midpoint between (3, 7) and (9, -5)?
What is (6, 1)?
In the construction steps for a perpendicular bisector, what is the nickname given to the arc pattern drawn from a point either on or off the line?
What is drawing a "smile"?
Points R, S, and T lie on the exact straight line. What term describes these points?
What is colinear?
B is the midpoint of line segment AC. If AB = 8x - 20, express the total length of segment AC in terms of x.
What is 16x - 40?
Angle R and Angle S are complementary angles. If the measure f angle R = (12x - 3) and the measure of angle S = (7x - 2), find x.
What is x = 5?
What is the distance between (2, 3) and (7, 15)?
What is 13?
When bisecting an angle, where must the compass point be placed first?
What is the vertex of the angle?
Two angles share a common vertex and a ray, but no interior points. What type of angles are they?
What are adjacent angles?
Ray UW bisects angle TUV. If the measure of angle TUW = (13x - 5) and the measure of angle WUV = (7x + 31), find x.
What is x = 6?
Two adjacent angles on a line are represented by (9y + 7) and (2y + 98). Solve for y.
What is y = 7?
Two angles form a linear pair. One angle is 5 times the measure of the other. What are the two angle measures?
What are 30 and 10 degrees?
To construct a segment twice as long as AB, what step comes immediately after drawing a long ray?
What is measuring length AB with the compass and marking it twice on the ray?
Two supplementary, adjacent angles whose non-common sides form opposite rays are known as what?
What is a linear pair?
Ray BD bisects angle ABC. If the measure of angle ABD = (2x + 41) and the measure of angle DBC = (6x + 7), find the full measure of angle ABC.
What is 116 degrees?
Angle DEF is a straight angle. If the measure of angle DEG = (23x - 3) and the measure of angle GEF = (12x + 8), solve for angle GEF.
What is 68 degrees?
The measure of an angle is 12 more than twice the measure of its complement. Find the measure of the larger angle.
What is 64 degrees?
When copying an angle, how do you determine where to place the second arc for the new ray to set the angle's width?
What is measuring the width between the two arc intersection points (dimples) on the original angle using the compass?
A line ray or segment intersects a segment at its midpoint and forms a right angle. What is this line called?
What is a perpendicular bisector?
Segment EF bisects segment CD at G. If CG = 5x - 1 and GD = 7x - 13, find the length of segment CD.
What is 58?
Angle PQR = 141 degrees. Ray QS divides the angle into angle PQS = (13x + 4) and angle SQR = (10x - 1). Find both measures of angle PQS and SQR
What is 82 and 59 degrees?
M(-1, 2) is the midpoint of segment AB. If B(3, -5), find the coordinates of endpoint A?
What is (-5, 9)?
What two geometric properties are created when you construct a perpendicular bisector of a segment?
What are right angles and two congruent segment halves?