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Geometry and Algebra Essentials
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1
Question
What is the Slope-Intercept Form of a Linear Equation?
Answer
y = mx + b, where m is slope, b is y-intercept
2
Question
What is the sum of the measures of angles in any triangle?
Answer
180°
3
Question
According to the Exterior Angle Theorem, what is an exterior angle equal to?
Answer
Sum of its remote interior angles
4
Question
What is the formula for the Circumference of a Circle using diameter?
Answer
C = πd
5
Question
What is the formula for the Circumference of a Circle using radius?
Answer
C = 2πr
6
Question
What is the formula for the Area of a Circle?
Answer
A = πr²
7
Question
What is the Pythagorean Theorem formula for a right triangle?
Answer
a² + b² = c²
8
Question
What does the Converse of the Pythagorean Theorem state?
Answer
Square of hypotenuse equals sum of squares of legs, then triangle is right
9
Question
What is the formula for the Volume of Cylinders?
Answer
V = πr²h
10
Question
What is the formula for the Volume of Cones?
Answer
V = (1/3)πr²h
11
Question
What is the formula for the Volume of Spheres?
Answer
V = (4/3)πr³
12
Question
What is the distributive property formula?
Answer
a(b + c) = ab + ac, with inverse being the expansion.
13
Question
What is the slope-intercept form?
Answer
y = mx + b, where m is slope and b is y-intercept.
14
Question
What is the sum of angles in any triangle?
Answer
180 degrees.
15
Question
What does the Exterior Angle Theorem state?
Answer
An exterior angle equals the sum of its two remote interior angles.
16
Question
Circumference formula using diameter?
Answer
C = πd.
17
Question
Circumference formula using radius?
Answer
C = 2πr.
18
Question
Area of a circle?
Answer
A = πr².
19
Question
Pythagorean Theorem?
Answer
a² + b² = c² for right triangles.
20
Question
Converse of Pythagorean Theorem?
Answer
If c² = a² + b², then the triangle is right-angled.
21
Question
Volume of a cylinder?
Answer
V = πr²h.
22
Question
Volume of a cone?
Answer
V = (1/3)πr²h.
23
Question
Volume of a sphere?
Answer
V = (4/3)πr³.