The converse of
If a polygon is regular, then it is equilateral.
(Determine T or F)
What is
If a polygon is equilateral, then it is regular. (F)
100
If a conditional is true, what else must also be true?
What is
Contrapositive
100
What is a counterexample for the following false statement:
If a figure has 4 congruent sides, then it is a square.
What is
Rhombus
100
Write an equation and find x:
Y is the midpoint of segment XZ with
XY = 2x + 11
YZ = 4x - 5
What is
2x + 11 = 4x - 5
x = 8
100
Write an equation and find x:
Angle 1 and angle 2 are vertical angles with
angle 1 = 8x - 6
angle 2 = 4x + 18
What is
8x - 6 = 4x + 18
x = 6
200
The inverse of
If lines are parallel, then corresponding angles are congruent.
(Determine T or F)
What is
If lines are not parallel, then corresponding angles are not congruent. (T)
200
If a converse is false, what else must also be false?
What is
Inverse.
200
What is a counterexample for the following false statement:
If a line intersects a circle, then it is tangent to the circle.
What is
Secant
200
Write an equation and find x:
B is the midpoint of segment AC with
AB = 3x + 7
BC = 4x + 9
What is
3x + 7 = 4x + 9
x = -2
200
Write an equation and find x:
Angle 1 and angle 2 are a linear pair with
Angle 1 = 5x - 10
Angle 2 = x + 16
What is
5x - 10 + x + 16 = 180
x = 29
300
The converse of
If AB + BC = AC, then A, B, and C are collinear.
(Determine T or F)
What is
If A, B, and C are collinear, then AB + BC = AC. (F)
300
What is the converse of
Coplanar points lie on the same plane.
(Determine T or F)
What is
If points lie on the same plane, then they are coplanar. (T)
300
What is a counterexample for the following false statement:
If an angle is obtuse then it measures 100 degrees.
What is
The angle could measure 101 degrees. (vary)
300
Write an equation and find x:
B is the midpoint of segment AC with:
AC = 3x - 1
BC = 12 - x
What is
2(12 - x) = 3x - 1
x = 5
300
Write an equation and find x:
Angle 1 and angle 2 are same side interior angle of parallel lines with
Angle 1 = x
Angle 2 = x + 12
What is
x + x + 12 = 180
x = 84
400
The contrapositive of
If lines are skew, then they do not intersect.
(Determine T or F)
What is
If lines intersect, then they are not skew. (T)
400
What is the converse of:
Linear pairs are supplementary.
(Determine T or F)
What is
If angles are supplementary, then they are a linear pair. (F)
400
What is a counterexample for the following false statement:
If lines do not intersect, then they are skew.
What is
The lines could be parallel
400
Write an equation and find x:
B is the midpoint of AC with
AB = x - 1
AC = x + 6
What is
2(x - 1) = x + 6
x = 8
400
Write an equation and find x:
Angle 1 and angle 2 are complementary with
Angle 1 = 4x + 15
Angle 2 = 2x - 9
What is
4x + 15 + 2x - 9 = 90
x = 14
500
What is the Inverse of
If a figure is a square, then it is a rectangle.
(Determine T or F)
What is
If a figure is not a square, then it is not a rectangle. (F)
500
What is the contrapositive of
Right angles measure 90 degrees.
(Determine T or F)
What is
If an angle does not measure 90 degrees, then it is not a right angle. (T)
500
What is a counterexample for the following false statement:
If angle ABC is congruent to angle CBD, then ray BC bisects angle ABD.
(a picture counterexample would be good here)
What is
Ray BC may not be in the interior of angle ABD
500
Write an equation and find x:
B is the midpoint of segment AC and C is the midpoint of segment BD with
AB = 3x - 5
AD = 7x + 8
What is
3(3x - 5) = 7x + 8
x = 11.5
500
Write an equation and find x:
Angle 1 and angle 2 are alternate interior angles of parallel lines with
Angle 1 = 7x + 24
Angle 2 = 2x + 40