Geometric Objects
Segments
Midpoint
Distance
Surprise!
100
True or False: To name a point, you use 3 letters
False! A point is named with only 1 capital letter
100
Point K is on line segment JL. Given JL=17 and KL=6, determine the length JK.
JK = 11
100
Find the midpoint of the segment with the following endpoints.
(−7,9) and (−4,6)
Midpoint: (−5.5 , 7.5)
100
Find the distance between the two points in simplest radical form.
(5,0) and (2,4)
5 units
100
An airline added another city stop to its schedule between Cheyenne and Burlington. The measured distance between Cheyenne and Burlington is 1352 miles. The distance between the new city stop and Burlington is 606 miles. Cheyenne, the new city stop, and Burlington are all collinear. How far is the new city stop from Cheyenne?
746 miles.
200
What is the difference between a line and a line segment
A line segment has two distinct endpoints, and a line extends in opposite directions forever and ever.
200
Point L is on line segment KM. Given KL=5x−2, LM=4x−3, and KM=4x, determine the numerical length of LM.
x = 1 and LM = 1
200
Find the midpoint of the segment with the following endpoints.
(0,8) and (6,4)
(3 , 6)
200
Find the distance between the two points in simplest radical form.
(−6,5) and (−3,7)
sqrt13 units
200
A television screen represents which of the following geometric terms: a plane, a line, or a point
A plane!
300
What is collinear?
Points that exist on the same line.
Fun Fact: Any 2 points are colinear
300
What is the length of AB when B is the midpoint of AC?
AB = 3x + 2
BC = 5x - 4
X = 3 and AC = 12
300
The midpoint of AB is M (3,−5). If the coordinates of A are (5,−3), what are the coordinates of B?
The coordinates of B are (1,−7)
300
Find the distance between the two points in simplest radical form.
(1,8) and (6,−4)
13 units
300
Suppose M is the midpoint of 𝑱𝑲̅. Determine the numerical length of line segment JK
JK = 12 Units
400
Name this plane: Give two names
Some examples: JKG, JGF, KGF
400
Point X is on line segment WY. Given WX=5x−9, WY=5x+7, and XY=4x, determine the numerical length of XY.
x = 4 and XY = 16
400
The midpoint of AB is M(−2,6). If the coordinates of A are (−3,8), what are the coordinates of B?
The coordinates of B are (−1,4)
400
Find the distance between the two points in simplest radical form.
(−3,0) and (−8,6)
sqrt61 units
400
True or False: I can name a plane with two points
FALSE! You can name a Plane with three noncollinear points OR by a capital script letter
500
How do you name a plane using points?
You need three non-collinear points!
Fun Fact: You can create a plane through any three points as long as one of the points is not on the same line as the other two!
500
If B is the midpoint of AC, AC = CD, AB = 3x + 4, AC = 11x – 17, and CE = 49, find DE.
DE = 11 units
500
The midpoint of AB is (6,1). If the coordinates of A are (5, −4), what are the coordinates of B?
The coordinates of B are (7,6)
500
Find the distance between the two points. Round to the nearest tenth.
(8,−4) and (4,4)
8.9 units
500
Line segment AB is 20 units long. If point A is at -5 determine BOTH possible locations for point B
Point B = 15
AND
Point B =-25