ACCUPLACER MATH TERMS GUIDE 2025/2026 QUESTIONS
WITH ANSWERS GRADED A+
✔✔Define - (h,k) - ✔✔= (h,k) = the "center" point of a circle
- a "fixed point"
✔✔Define what the - distance from (h,k) to any (x,y) point is - ✔✔= (r) = radius
✔✔State the - "Radius (r) Formula" - ✔✔= Radius (r) = "square root all over" : [(x-h)^2
(y-k)^2]
✔✔According to the - "Equation of a Circle" - define (x,y) - ✔✔= (x, y) = any point on the
circumference of a circle
✔✔Give the - "Equation of a Circle" - ✔✔= [(r^2) = (x-h)^2 + (y-k)^2]
✔✔Define - "Straight Angle" - ✔✔= 180 (degrees)
- (singular)
✔✔Define - "Reflex Angle" - ✔✔= MORE - than 180 (degrees) - but LESS - than 360
(degrees)
- (singular)
✔✔Define - "Supplementary Angles" - ✔✔= angles that "add" up to = 180 (degrees)
- (plural)
✔✔Define - "Complementary Angles" - ✔✔= angles that "add" up to = 90 (degrees)
- (plural)
✔✔Define what the term - "congruent angles" means - ✔✔= angles that are the SAME
in - (radians and degrees)
- they DO NOT have to be going in the same direction
- they DO NOT have to be on similar sized lines
✔✔If - line (t) - crossed through 2 "parallel lines":
What is formed from this?
Define the similarities
Define the term used for - (t) - ✔✔= (8) angles are formed
= 2 angles that are - "side by side" - add up to 180 (degrees)
= 2 angles that are - "diagonal" or "across from each other" are EQUAL to - each other
AND those in same positioned angles in the 2nd group
, = (t) = "transversal"
✔✔Define the term for - 2 angles that are - "diagonal" or "across from each other" -
✔✔= "vertical angles"
✔✔When given a Triangle define the - "capital letters" (A,B,C) and "lower-case letters"
(a,b,c)
What is the trend between the "capital letters" (A,B,C) and "lower-case letters" (a,b,c) -
✔✔= "capital letters" (A,B,C) = ANGLES
= "lower-case letters" (a,b,c) = SIDES
= the same letters - ex:(A and a) - are across from each other on a triangle
✔✔Area of a Triangle - ✔✔1/2bh
✔✔Triangles adds up to - ✔✔= 180 (degrees)
✔✔Define - Median - ✔✔= a line drawn on a triangle - starting: from an angle - ending:
in the middle (midpoint) of the angle's opposite side
- ex: starts at angle A, ends in the middle of side a
✔✔Define - Scalene Triangle - ✔✔= angles and sides all UNEQUAL
✔✔Define - Isosceles Triangle - ✔✔= 2 equal sides - the 2 sides being the "LEGS" of
the triangle and the "BASE" being UNEQUAL
✔✔In a Triangle:
- define the term of the - "peak"/the highest angle
- what are the other 2 angles called
- what must be true about the - largest (#) angle and largest (#) side
- what is the important rule about the sides of a triangle - ✔✔= "vertex angle"
= "base angles"
= they must be across from each other - ex:(A and a)
= (c) is always the "hypotenuse" and the largest (#) side
- but sides (a) and (b) must be greater than (c) when added together
✔✔Define - Pythagorean Theorem - ✔✔= (a^2 + b^2 = c^2)
WITH ANSWERS GRADED A+
✔✔Define - (h,k) - ✔✔= (h,k) = the "center" point of a circle
- a "fixed point"
✔✔Define what the - distance from (h,k) to any (x,y) point is - ✔✔= (r) = radius
✔✔State the - "Radius (r) Formula" - ✔✔= Radius (r) = "square root all over" : [(x-h)^2
(y-k)^2]
✔✔According to the - "Equation of a Circle" - define (x,y) - ✔✔= (x, y) = any point on the
circumference of a circle
✔✔Give the - "Equation of a Circle" - ✔✔= [(r^2) = (x-h)^2 + (y-k)^2]
✔✔Define - "Straight Angle" - ✔✔= 180 (degrees)
- (singular)
✔✔Define - "Reflex Angle" - ✔✔= MORE - than 180 (degrees) - but LESS - than 360
(degrees)
- (singular)
✔✔Define - "Supplementary Angles" - ✔✔= angles that "add" up to = 180 (degrees)
- (plural)
✔✔Define - "Complementary Angles" - ✔✔= angles that "add" up to = 90 (degrees)
- (plural)
✔✔Define what the term - "congruent angles" means - ✔✔= angles that are the SAME
in - (radians and degrees)
- they DO NOT have to be going in the same direction
- they DO NOT have to be on similar sized lines
✔✔If - line (t) - crossed through 2 "parallel lines":
What is formed from this?
Define the similarities
Define the term used for - (t) - ✔✔= (8) angles are formed
= 2 angles that are - "side by side" - add up to 180 (degrees)
= 2 angles that are - "diagonal" or "across from each other" are EQUAL to - each other
AND those in same positioned angles in the 2nd group
, = (t) = "transversal"
✔✔Define the term for - 2 angles that are - "diagonal" or "across from each other" -
✔✔= "vertical angles"
✔✔When given a Triangle define the - "capital letters" (A,B,C) and "lower-case letters"
(a,b,c)
What is the trend between the "capital letters" (A,B,C) and "lower-case letters" (a,b,c) -
✔✔= "capital letters" (A,B,C) = ANGLES
= "lower-case letters" (a,b,c) = SIDES
= the same letters - ex:(A and a) - are across from each other on a triangle
✔✔Area of a Triangle - ✔✔1/2bh
✔✔Triangles adds up to - ✔✔= 180 (degrees)
✔✔Define - Median - ✔✔= a line drawn on a triangle - starting: from an angle - ending:
in the middle (midpoint) of the angle's opposite side
- ex: starts at angle A, ends in the middle of side a
✔✔Define - Scalene Triangle - ✔✔= angles and sides all UNEQUAL
✔✔Define - Isosceles Triangle - ✔✔= 2 equal sides - the 2 sides being the "LEGS" of
the triangle and the "BASE" being UNEQUAL
✔✔In a Triangle:
- define the term of the - "peak"/the highest angle
- what are the other 2 angles called
- what must be true about the - largest (#) angle and largest (#) side
- what is the important rule about the sides of a triangle - ✔✔= "vertex angle"
= "base angles"
= they must be across from each other - ex:(A and a)
= (c) is always the "hypotenuse" and the largest (#) side
- but sides (a) and (b) must be greater than (c) when added together
✔✔Define - Pythagorean Theorem - ✔✔= (a^2 + b^2 = c^2)
