AnswersPre-Algebra - MA3119 B-CRFinding Distance in the Coordinate Plane

Finding Distance in the Coordinate Plane Answers

2 verified answers2 views
1
Free Preview

What is the distance between the points (7, 8) and (–8, 0) on a coordinate grid?

Answer not available
2
Free Preview

The hypotenuse of right triangle ABC is represented by segment AB, as shown on the graph. At which point could point C be located?

Question illustration
A
(–3, 3)
B
(–3, 2)
C
(5, –5)
D
(5, –3)
3

Segment KJ shown below is the hypotenuse of isosceles right triangle JLK. What is the length of one of the congruent legs of JLK?

Question illustration
A
3
B
StartRoot 18 EndRoot
Option B
C
6
D
StartRoot 72 EndRoot
Option D
4

In the formula , how does each subtraction expression relate to the Pythagorean theorem?

Question illustration
A
Each subtraction expression represents the length of one leg of a right triangle with a hypotenuse of length d.
B
Each subtraction expression represents the length of the hypotenuse of a right triangle with a leg of length d.
C
Each subtraction expression represents half the length of the hypotenuse of a right triangle with a hypotenuse of length d.
D
Each subtraction expression represents the square of the length of the hypotenuse of a right triangle with a hypotenuse of length d.
5

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1). What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.

A
10 miles
B
miles
Option B
C
miles
Option C
D
52 miles
6

What is the length of segment XY?

Question illustration
A
4.5 units
B
units
Option B
C
units
Option C
D
9 units
7

Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6, 3). Which point on the y-axis could be on the edge of the circle if the distance from the center of the circle to the edge is 10 units?

A
(0, –1)
B
(0, 1)
C
(0, 5)
D
(0, –5)
8

Which expression can be used to determine the length of segment AB?

Question illustration
A
StartRoot 2 squared + 6 squared EndRoot
Option A
B
StartRoot 2 squared minus 6 squared EndRoot
Option B
C
StartRoot 6 squared minus 2 squared EndRoot
Option C
D
StartRoot (2 + 6) squared EndRoot
Option D
9

Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

A
StartRoot 2 a squared EndRoot
Option A
B
StartRoot a Superscript 4 Baseline EndRoot
Option B
C
StartRoot 2 a Superscript 4 Baseline EndRoot
Option C
D
0
10

Tyree is determining the distance of a segment whose endpoints are A(–4, –2) and B(–7, –7).Step 1: Step 2: Step 3: Step 4: Step 5: Therefore, d = 2.Which best describes the accuracy of Tyree’s solution?

Question illustration
A
Tyree’s solution is accurate.
B
Tyree’s solution is inaccurate. In step 1, he substituted incorrectly.
C
Tyree’s solution is inaccurate. In step 2, he simplified incorrectly.
D
Tyree’s solution is inaccurate. In step 3, he added incorrectly.

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Pythagorean Theorem in Three Dimensions

Quiz
10 verified answers

Finding Distance in the Coordinate Plane

Quiz
9 verified answers

Spherical and Cubic Volume Applications