Distance
Midpoint
Conditional Statements
100
A student walks from the school entrance located at point (2, 3) to the cafeteria at point (8, 3) on the coordinate plane.
6 units
100
A student places two markers on a number line at points (2, 0) and (10, 0).
What is the midpoint of the segment connecting them?
(6,0)
100
"If a figure has four sides, then it is a quadrilateral."
Write the converse of the statement.
Converse: If a figure is a quadrilateral, then it has four sides.
200
A cat climbs from point (–1, 4) on a fence to point (5, –2).
How far did the cat travel?
8.49 units
200
A bug starts at point (–4, 3) and crawls to point (2, 7).
What is the midpoint of its path?
(-1,5)
200
Identify this statement:
"If a number is even, then it is divisible by 2."
Conditional Statement
300
A drone starts at point (3, 7) and flies to a landing pad at point (12, 1).
What is the straight-line distance the drone travels?
10.82 units
300
On a coordinate map, a delivery robot travels from (6, –3) to (–2, 5).
What is the midpoint of the robot’s route?
(2,1)
300
Write the contrapositive of:
"If two angles are vertical angles, then they are congruent."
Contrapositive:
If two angles are not congruent, then they are not vertical angles.
400
A lifeguard is standing at point (–4, 2). A swimmer is located at point (3, –5).
How far apart are they?
9.90 units
400
The midpoint of a segment is (4, –1). One endpoint is (10, 3).
What is the other endpoint?
(-2,-5)
400
Write the inverse and contrapositive of this statement
"If a shape is square, then it has four right angles."
Inverse: "If a shape is not a square, then it does not have four right angles."
Contrapositive: "If a shape does not have four right angles, then it is not a square."
500
Point A of a triangle is at (–2, 6).
The triangle is translated 8 units right and 3 units down to form point A′.
Point B is located at (5, –1).
What is the distance between point A′ and point B?
4.12 units
500
What is the midpoint between the these two points on the circle
(3,1)
500
Write the contrapositive of this conditional statement.
"If a function is differentiable at x=a, then it is continuous at x=a."
Contrapositive: If it is not continuous at x=a then it is not differentiable at x = a"