Distance
Midpoint
Angle Relationships
Miscellaneous
Anything Goes
100
Find the distance between the points:
What is 5?
100
Given: R is the midpoint of overline(QS)
R has coordinates (5,-7) and Q has coordinates (2,-3)
Find the coordinates of S
What is S(8,-11)?
100
If ∠ABC and ∠ DBE are vertical angles, m∠ABC = (10x + 7)⁰ and m∠DBE = (-5x + 37)⁰, find m∠DBE.
What is m∠ DBE = 27⁰?
100
Complete the statement:
A. AB = AC
B. AB + AB = 180
C. B is the midpoint of overline(AC)
D. m∠BAC = 90°
What is D?
100
Using the given key, write the converse of the statement in words:
p: You work overtime
q: You are paid time-and-a-half
~q → p
What is "If you work overtime, then you are not paid time-and-a-half"?
200
Given: U (-6, -3), V(12, -7)
Find UV
What is 18.4?
200
Given: U (-6, -3), V(12, -7)
Find the midpoint of overline (UV)
What is (3, -5)?
200
Ray AB bisects ∠CAD. The m∠CAB = (3x)° and m∠BAD = (2x + 6)°
Find m∠CAD and m∠BAD.
What is m∠CAD = 36° and m∠BAD = 18°?
200
What is m∠NMO = 48°?
200
Which is a counterexample for the conditional statement?
If two positive numbers are multiplied together, then the product will be greater than both of the two positive numbers.
Multiple options. For example, What is 2/3 * 9 = 6?
300
Determine AB
What is 8.5?
300
Find the value of x that justifies that K is the midpoint of overline(LM) . LK = 2x and KM = 5x – 30. What is KM?
What is x = 10 and KM = 20?
300
overline(RS) ⟂ overline(ST)
m∠QSR = 38°
Find m∠TSQ and m∠RST
What is m∠TSQ = 52° and m∠RST = 90°?
300
Below is the first step to a construction. What construction is pictured?
What is a perpendicular bisector?
300
Which of the laws of logic do the statements follow?
If it snows today, then I will wear my gloves.
If I wear my gloves, my fingers will get itchy.
Therefore, if it snows today, then my fingers will get itchy.
What is the law of syllogism 1?
400
Find the distance between the points on the graph.
What is 9.1?
400
Find the midpoint of the segment:
What is (-1.5, 0)?
400
Find the value of x and y
What is x = 11 and y = 122?
400
Determine which points lie on the perpendicular bisector of overline(AB).
What are points D and E?
400
Use the true statements and deductive reasoning to make a valid conclusion:
If school is open, then the weather is nice.
The weather is not nice.
What is "therefore school is not open"?
500
A is at (-2, 3) and B is at (-7, -7). Find AB.
What is 11.2?
500
Z is the midpoint of overline(XY). X is at (-1, 9) and Z is at (-9, -10). Find the coordinates of Y.
What is (-17, -29)?
500
In the diagram below, m∠ABF = (3x + 6)°, m∠FBE = (2x + 5)°, m∠ABD = (11x + 9)°, and m∠EBD = 46°. What is the m∠FBE?
What is m∠FBE = 21°?
500
Below is the first step to a construction. What construction is pictured?
What is a congruent angle?
500
In the diagram, overline(EF) bisects ∠AFD and overline(FB) ⟂ overline(AC)
If m∠1 = (6x + 7)° and m∠2 = (4x + 15)°, find the m∠BFE.
What is m∠BFE = 121°?