Midpoint
Transformations
Distance
Circles
Truth Values
100
The midpoint of AB is M(4, 2). If the coordinates of A are (6, −4), what are the coordinates of B?
B(2, 8)
100
Triangle ABC has coordinates A(-2,1), B(3,1), and C(0,-3). What is the image of triangle ABC after a dilation of 2?
A'(-4,2), B'(6, 2), and C'(0, −6)
100
What is the length of a line segment whose endpoints have coordinates (5,3) and (1,6)?
5
100
What is the equation of a circle with center (-5,4) and a radius of 7?
(x+5)2 + (y-4)2 = 49
100
What are the truth values of the statement “Opposite angles of a trapezoid are always congruent” and its negation?
The statement is false and the negation is true.
200
What are the coordinates of the midpoint of the line segment with endpoints (2,-5) and (8,3)?
(5, −1)
200
If triangle ABC and its image triangle A'B'C are congruent, under which transformation are the triangles not congruent?
Dilation
200
What is the length of RS with R(-2,3) and S(4,5)?
2 sqrt(10)
200
What is the equation of the circle with the center (-1,3) and a radius of 3?
(x+1)2 + (y-3)2 = 9
200
What is the inverse of "If pigs can fly, then dogs can't bark."
If pigs can't fly, then dogs can bark.
300
What are the coordinates of the midpoint of the line segment with endpoints (6,3) and (5,-3)?
(5.5,0)
300
Triangle ABC has vertices A(6,6), B(9,0), and C(3,-3). State and label the coordinates of triangle A'B'C', the image of triangle ABC after a translation of (x+3, y - 2)
A'(9,4), B'(12,−2), and C'(3,-5)
300
What is the length of a line segment whose endpoints have coordinates (-2,3) and (6,9)?
10
300
Circle O is represented by the equation (x + 3)2 + (y - 5)2 = 48. The coordinates of the center and the length of the radius of circle O are
(-3, 5) and 4sqrt(3)
300
What are the truth values of the statement “Two is prime” and its negation?
The statement is true and the negation is false
400
The midpoint of AB is M(4,8). If the coordinates of A are (-1,6), what are the coordinates of B?
B(9,10)
400
What are the coordinates of A-, the image of point A(-3,4), after a rotation of 180° about the origin?
(3,-4)
400
Find, in simplest radical form, the length of the line segment with endpoints whose coordinates are (-1,4) and (3,-2).
4 sqrt(5)
400
What is the equation of the circle with the center (0,-2) and a radius of 5?
(x)2 + (y+2)2 = 25
400
What is the converse of “If an angle measures 90 degrees, then it is a right angle”?
If an angle is a right angle, then it measures 90 degrees.
500
What are the coordinates of the center of a circle if the endpoints of its diameter are A(8,-4) and B(-3,2)?
(2.5, −1)
500
Triangle ABC has coordinates A(2,-3), B(5,9), and C(-6,4). What is the image of triangle ABC after a reflection over the x-axis?
A'(2,3), B'(5,-9), and C'(-6,-4)
500
Triangle ABC has vertices at A(3,0), B(9,-5), and C(7,-8). Find the length of AC in simplest radical form.
4 sqrt(5)
500
The coordinates of the endpoints of the diameter of a circle are (2,0) and (2,-8). What is the equation of the circle?
(x-2)2 + (y+4)2 = 16
500
Given the statement, “If a number has exactly two factors, it is a prime number,” what is the contrapositive of this statement?
If a number is not a prime number, then it does not have exactly two factors.