Midpoint
This type of geometric figure has two endpoints and finite length, and the specific point that lies exactly halfway along it is called ____. Name both the figure and the point.
Line segment and midpoint
The definition for a line segment
What is part of a line that has two endpoints
What is the equation of a circle
X2+Y2=r2
Quadrilateral with 1 pair of parallel lines
Trapezoid/trapezium
This formula finds the midpoint by averaging the x-values and the y-values.
((x1 + x2) / 2 , (y1 + y2) / 2)
The length of a line segment is modelled after this formula
What is Pythagorean theorem
List any point on the circle with radius 1
Answers may varry
The only regular quadrilateral
Square
The midpoint of the line segment with endpoints (-6, 4) and (10, -2)
= ((-6 + 10)/2 , (4 + (-2))/2)
= (4/2 , 2/2)
= (2, 1)
The formula for finding the length of a line segment
What is d = √(x2 - x1)2 + (y2 - y1)2
What is the radius of the circle with point (6, 8)
10
All the quadrilateral classifications that have the properties of parallelograms
Parallelogram, rhombus, rectangle, square
One endpoint of a line segment is (7,5), and the midpoint is (3,−1). Find the other endpoint.
((7 + x)/2, (5 + y)/2) = (3, -1)
X-coordinate:
(7 + x)/2 = 3
7 + x = 6
x = -1
Y-coordinate:
(5 + y)/2 = -1
5 + y = -2 y
= -7
= (-1, -7)
The distance between M(6,0) and N(6,14)
What is 14
What is the radius of the circle with point (-5, 12)
13
The distance between the midpoints of this trapezoid's legs: Right trapezoid, height = 3cm, length of leg = 5cm, length of longer base = 13cm
11
The midpoint of a line segment is (3, -2). One endpoint has coordinates (x, 4). If the other endpoint has an x-coordinate of 9, find the value of x.
Midpoint = (3, -2)
Endpoint A = (x, 4)
Endpoint B = (9, y)
Midpoint X Value = (x + 9) / 2
3 = (x+9)/2
x=-3
The length of the line segment with end points J(1,4) and K(8,3) rounded to three significant figures
What is 7.07
Can the points (1, sqrt24) and (sqrt2, sqrt23) lie on the same circle. Why?
Yes, both lie on the circle with radius 5
Triangle ABC's 2 classifications: A(-1, -1) B(7, 3) C(3.75, -0.5), supplementary of ∠ACB is 30.4°
Obtuse, isosceles