Distance formula
Interactive Video
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
Cydney Gobourne Doughty
Used 4+ times
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What theorem is used to calculate the distance between two points on a coordinate plane?
y=mx+b
a2 + b2 = c2
y2-y1
x2-x1
Answer explanation
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.
Where “a” is the perpendicular,
“b” is the base,
“c” is the hypotenuse.
The hypotenuse is the longest side, and it is opposite to the 90° angle.
Tags
CCSS.HSG.GPE.B.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the base of the triangle calculated between points (3, -4) and (6, 0)?
Subtracting th x coordinates (6 -3)
Subtracting the y coordinates (-4 - 0)
Adding the x coordinates (6 + 3)
Adding the y coordinates (-4 + 0)
Answer explanation
An ordered pair (x, y) is defined as the coordinates of a point such that “x” is the x-coordinate and “y” is the y-coordinate.
For point (6,0)
6 is the x-coordinate, and 0 is the y-coordinate.
For point (3,-4)
3 is the x-coordinate, and -4 is the y-coordinate.
The horizontal change, or change in x (Δx), is the difference between the two x -coordinates, or 6 - 3.
Tags
CCSS.6.G.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the hypotenuse in the context of the video represent?
The base of the triangle
The height of the triangle
The area of the triangle
The distance between two points
Answer explanation
You can use the Pythagorean Theorem to find the distance between two points.
The distance between the two points is the hypotenuse (c).
a2 + b2 = c2
32 + 42 = c2
9 + 16 =c2
25 = c2
√25 = √c2
5 = c
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct expression for the distance formula?
(x2 - x1) + (y2 - y1)
(x2 + x1)2 + (y2 + y1)2
Answer explanation
Tags
CCSS.HSG.GPE.B.7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the distance between the points (-6, -4) and (1, 7) as calculated in the video?
11 units
13.04 units
7 units
25 units
Tags
CCSS.HSG.GPE.B.7
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
What are the coordinates for point A?
Hint: (x,y)
(a)
Tags
CCSS.6.G.A.3
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
What are the coordinates for point B?
Hint: (x,y)
(a)
Tags
CCSS.6.G.A.3
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