Distance Formula
What is the distance formula?
sqrt [(X2-X1)^2 + (Y2-Y1)^2]
What is the midpoint formula?
((X1+X2)/2), (Y1+Y2)/2)
What is a 3-sided shape called?
Triangle
What is the definition of perimeter?
P = distance around a polygon
What is the definition of area?
A = amount of space inside a polygon
What is the distance between (8, 11) and (8, 4)?
7
What is a segment bisector? List 2 examples.
Segment Bisector - any point, line, plane, line segment, or ray that intersects at its midpoint. Splits a segment into equal parts.
What is a 4-sided shape called?
Quadrilateral
Find the perimeter of the polygon with the given vertices.
G(2, 4), H(2, -3), J(-2, -3), K(-2, 4)
22 units
Find the area of the polygon with the given vertices.
A(-2, 3), B(3, -3), C(-2, -3)
15 units^2
What is the distance between (2, -5) and (-3, -7)
sqrt 29 or 5.4
The endpoints C(3, -5) and D(7, 9) are given. Find the midpoint coordinates.
(5, 2)
What is a 5-sided shape called?
Pentagon
Find the perimeter of the polygon with the given vertices.
G(-3, 2), H(2, 2), J(-1, -3)
16.2 units
Find the area of the polygon with the given vertices.
E(3, 1), F(3, -2), G(-2, -2)
7.5 units^2
A theater is 5 miles west and 5 miles north of a bus stop. A museum is 3 miles west and 2 miles south of the bus stop. Estimate the distance between the theater and the museum.
7.3 miles
A line segment JK has a segment bisector of point M. JM = 3x + 15 and MK = 8x + 25. Find the measure of JM.
Segment JM = 9
What is a 7-sided shape called?
Heptagon
Find the perimeter of the polygon with the given vertices.
Q(-4, -1), R(1, 4), S(4, 1), T(-1, -4)
22.6 units
Find the area of the polygon with the given vertices.
A(-1, -1), B(-5, -1), C(-1, -5), D(-5, -5)
16 units^2
Classify triangle ABC as scalene, isosceles, or equilateral A(-4, 3), B(4, 3), C(0, 4)
Isosceles
The midpoint M and one endpoint of the line segment GH are given. Find the coordinates of the other endpoint.
H(-3, 7) and M(-2, 5)
G(-1, 3)
What is an 11-sided polygon called?
Hendecagon
Find the perimeter of the polygon with the given vertices.
A(3, 0), B(0, -2), C(-1, 3)
13.7 units
Find the area of the polygon with the given vertices.
N(-4, 3), P(1, 3), Q(5, -1), R(0,-1)
20 units^2