Lines, Segments, & Rays
This is the spot located exactly in between two endpoints of a line segment.
What is the midpoint?
Angle A and B are complementary. If A = 2x+8 and B = 3x-3, find the measure of each angle.
What is A = 42 and B = 48?
(x=17)
Similar triangles have these two characteristics.
What are equal angles and proportional sides?
This is the equation of the Unit Circle.
What is x2 + y2 = 1?
A transformation that creates a mirror image of the original figure is called this.
What is a reflection?
Line A passes through the points (2,5) and (4,9). Is the line passing through (1,3) and (2,6) parallel, perpendicular, or neither to line A?
What is neither?
(slope of A = 2, slope of B = 3)
Two angles are supplementary. The measure of one angle is 5 times the measure of the other. Find the measure of each angle.
What is 30 and 150?
(x=30)
In triangle ABC, AB is congruent to AC. What type of triangle is ABC?
What is isosceles?
What are the center and radius of the circle whose equation is
(x+2)2 + (y-6)2 = 13?
What is center: (-2,6) and radius: sqrt(13)?
Two angles are supplementary. If angle A = 4x + 3 and angle B = 7x - 5.
What is the measure of angle B (to the nearest tenth)?
What is 110.5 degrees?
Point D lies on segment CE. If CD=2x+5, DE=4x-3, and CE=32, what is the length of CD?
What is 15?
(x=5)
Ray BX bisects angle ABC. If angle A = 4y+12 and angle B = 6y-8, find the measure of angle ABC.
What is 104 degrees?
(y=10)
In triangle ABC, AB is congruent to AC.
Angle A = 2x
Angle B = x+16.
What is the value of x?
What is 37?
What is a tangent line?
What is the slope of a line perpendicular to the line whose equation is 7x - 5y = 15
What is -5/7?
Find the point that is located 1/4 of the way from A(2,1) to B(10,5).
What is (4,2)?
In a diagram with two parallel lines being cut by a transversal, angles 2 and 7 are alternate exterior angles. If angle 2 = 4x-3 and angle 7 = 8x-6, what is the value of x?
What is x = 3/4 (or 0.75)?
In triangle EFG, with right angle at F, leg EF = x and hypotenuse = 11. Angle E = 60 degrees. Calculate the length of leg EF.
What is 5.5?
The radius of a circle and a line tangent to the circle are ___________ to one another.
What is perpendicular (form a 90 degree angle)?
What is (-2,4)?
The midpoint of AC is B(0,9). If point A is (-5,13), what are the coordinates of the other endpoint, C?
What is (5,5)?
Right triangle ABC, with right angle at C, has legs AC = 13 and BC = 4. Missing angle, theta, is opposite leg with length 4.
Find the value of the missing angle, theta.
What is 17.1 degrees?
In a right triangle with angle theta, the side opposite theta is 12 and the hypotenuse is 20. What is the value of theta in degrees (round to the nearest tenth)?
What is 36.9 degrees?
Solve the following system of equations:
x2 + y2 = 10 and y = 3x +10.
What is (-3,1)?
Write the equation of the perpendicular bisector given the endpoints A(1,2) and B(5,6).
What is y=7-x.