Vocabulary
Points & Lines
Angles
Formulas/Measuring
Logical Reasoning
100
a statement that is accepted as true without proof
a postulate, or an axiom
100
Line segment EG is 20 units in length. F is the midpoint of EG. What would be the length of EF?
10 units
100
Classify each angle: 70 degrees: 90 degrees: 145 degrees:
acute right obtuse
100
Find the perimeter and area of a rectangle with a base of 8 and a height of 4.
P = 24 A = 32
100
Identify the conclusion of the following conditional statement: "The show is cancelled if it rains."
Conclusion: The show is cancelled.
200
a ray that divides an angle into two congruent angles
an angle bisector
200
B is a point in between A and C. AB is is 6x - 4, BC is 3x and AC is 5x + 8. Find the value of AC
23
200
Ray FH bisects right angle EFG. What is the measure of angle HFG?
45 degrees
200
Find the circumference and area of a circle with a diameter of 8 inches.
C= 25.12 A= 50.24
200
Determine if the following conjecture is true or false, and if it's false, give a counterexample. There are 28 days in February.
False! During a leap year (2012, 2016, 2020) there are 29 days in the month of February
300
points that lie on the same line
colinear points
300
On a number line, point A is at -3 and D is at 5. What is length of AD.
8
300
Ray BC is the interior of angle ABD. Angle ABC is 3x + 20, angle CBD is 9x + 20. Angle ABD is 100. What is the value of x?
x = 5
300
Find the midpoint of the segment with endpoints (-4, 6) and (3, 2).
(-0.5, 4)
300
Write the contrapositive and determine the truth value of the following: If the measure of angle 1 is 35 degrees, then angle 1 is acute.
If angle 1 is not acute then angle 1 is not 35 degrees. True
400
angles that share a common vertex and side
adjacent angles
400
T is the midpoint of RC, RT = 12x - 8 and TC = 28. What is the value of x?
3
400
Ray QS bisects angle PQR, the measure of angle PQR = (4x + 2) degrees and the measure of angle SQR= (3x - 6) degrees. What is the value of x?
Remember, "bisect" means to split evenly in half, so..... Angle PQR = Angle PQS + Angle SQR..... so draw a picture and see that Angle PQS must be congruent to Angle SQR... Given the information in the problem, Angle PQS + Angle SQR ( 3x-6 ) = Angle PQR (4x+2). Now just solve the equation for x, and the answer is 7
400
M is the midpoint of of segment LN. M has coordinates (-5,1) and L has corrdinates (2,4). What are the coordinates of N.
(-12, -2)
400
Write the conditional statement and the converse of the biconditional: Chad will work on Saturday if and only if he gets paid overtime.
conditional: If Chad works on Saturday then he gets paid overtime. converse: If Chad gets paid overtime, then he will work on Saturday.
500
a part of a line that starts at an endpoint and extends forever in one direction
a ray
500
S is between R and T. The distance between R and T is 4 times the distance between S and T. If RS= 18, what is RT?
24
500
Ray QR bisects angle PQS. Angle PQR is (6x - 12) degrees, and angle RQS is (4x + 8) degrees. Find the measure of angle PQS.
96 degrees
500
Given A(5,1), B(-1, 3), C(1,4) and D(4,1). Is AB congruent to CD? Explain with calculations.
No because AB = 6.32 (√40) and CD = 4.24 (√18)
500
Given the points D(1,5) and E(-2,3), which conclusion is NOT valid? A- the midpoint of DE is (-0.5, 4) B- The distance between D and E is the square root of 5 C- DE is congruent to ED D- D and E are distinct points
B- The distance between D and E is the square root of 5
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