Analytic Geometry

Question 1

What is the length of a line segment equation?

Answer 1

D=(X2-X1)2 + (Y2-Y1)2 square root

Question 2

How do you figure out the median?

Answer 2

Find the midpoint first, then you find the slope using the given vertex and the midpoint. Then use the slope and midpoint to find the equation of the vertex.

Question 3

How do you figure out the right bisector?

Answer 3

Find the slope using the two points, then turn it into its negative reciprocal. After find the midpoint and then find the equation.

Question 4

What’s the equation of a circle?

Answer 4

X2+Y2= r2

Question 5

How do you classify a square?

Answer 5

All four sides are equal, opposite slopes are equal and slopes are negative reciprocals.

Question 6

How do you classify a rhombus?

Answer 6

All side lengths are equal, opposite slopes and slopes aren’t negative reciprocals.

Question 7

How do you classify a rectangle?

Answer 7

Opposite side lengths are equal, opposite slopes are equal and slopes are negative reciprocals.

Question 8

How do you classify a parallelogram?

Answer 8

If opposite side lengths and opposite slopes are equal and slopes aren’t negative reciprocals.

Question 9

How do you classify a isosceles triangle?

Answer 9

If two of the side lengths are the same.

Question 10

How do you classify a equilateral triangle?

Answer 10

If all side lengths are equal.

Question 11

How do you classify a scalene triangle?

Answer 11

All side are not equal, even a right angle triangle.

Question 12

What is the equation of a midpoint?

Answer 12

M=(X1+X2), (Y1+Y2)
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