GEOMETRIC DEFINITIONS
This term describes a straight path that extends infinitely in both directions
Answer: What is a line?
If point B is between points A and C, then AB + BC equals this.
Answer: What is AC?
This symbol is used to indicate that two angles are congruent.
What is ≅?
An angle bisector divides an angle into two angles of this relationship.
What is congruent (or equal)?
The midpoint of a segment divides it into two segments of this relationship.
What is congruent (or equal length)?
Two angles are complementary if their measures add up to this many degrees.
What is 90°?
Two adjacent angles that form a straight line create this type of angle pair
What is a linear pair?
This is a part of a line that has two endpoints.
What is a line segment?
If AB = 5 and BC = 7, and B is between A and C, find AC.
What is 12?
If two angles are congruent, they have the same this.
What is measure (or degree measure)?
If ray BD bisects ∠ABC and m∠ABC = 60°, find m∠ABD
What is 30°?
If M is the midpoint of segment AB and AB = 16, find AM.
What is 8?
Two angles are supplementary if their measures add up to this many degrees.
What is 180°?
Vertical angles are always this relationship to each other.
What is congruent (or equal)?
This term describes two lines that intersect to form right angles.
Answer: What are perpendicular lines?
If AC = 20 and AB = 8, with B between A and C, find BC.
What is 12?
If ∠A ≅ ∠B and m∠A = 35°, find m∠B.
What is 35°?
If ∠PQR is bisected by ray QS, and m∠PQS = 25°, find m∠PQR.
What is 50°?
Point C is the midpoint of segment BD. If BC = 3x + 2 and CD = 5x - 6, find x.
What is 4?
If two angles are complementary and one measures 35°, find the measure of the other angle.
What is 55°?
If two angles form a linear pair and one angle measures 110°, find the measure of the other angle.
What is 70°?
This is a polygon with exactly three sides and three angles.
What is a triangle?
If AB = 3x + 2, BC = 2x - 1, and AC = 26, find the value of x.
Answer: What is 5?
All angles of this type of triangle are congruent to each other.
Answer: What is an equilateral triangle?
Ray QS bisects ∠PQR. If m∠PQS = 2x + 5 and m∠SQR = 3x - 10, find x
What is 15?
The midpoint of a segment with endpoints A(-3, 4) and B(5, -2) has these coordinates.
What is (1, 1)?
If two supplementary angles have measures of 3x + 20 and 2x + 10, find the value of x.
What is 30?
Two intersecting lines form four angles. If one angle measures 65°, find the measures of the other three angles.
What is 115°, 65°, and 115°?
This term describes two coplanar lines that never intersect.
What are parallel lines?
Points P, Q, and R are collinear with Q between P and R. If PQ = 2x + 5, QR = 3x - 2, and PR = 28, find QR.
What is 13?
If ∠1 ≅ ∠2, m∠1 = 3x + 10, and m∠2 = 5x - 6, find the measure of each angle.
What is 34°?
In triangle ABC, if the angle bisector of ∠A creates two angles measuring 3x + 7 and 5x - 9, find the measure of ∠A.
What is 50°?
If the midpoint of segment PQ is M(2, -3) and P has coordinates (-1, 5), find the coordinates of Q.
What is (5, -11)?
The complement of an angle measuring (2x - 15)° is (x + 5)°. Find the measure of the original angle.
What is 45°?
Angles ∠1 and ∠2 are vertical angles. If m∠1 = 4x + 12 and m∠2 = 6x - 8, find the measure of both angles
What is 52°?