AnswersIntegrated Math II FullFinding Distance in the Coordinate Plane

Finding Distance in the Coordinate Plane Answers

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1
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What is the length of segment XY?

Question illustration
A
4.5 units
B
units
Option B
C
units
Option C
D
9 units
2
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What is the length of segment RS?

Question illustration
A
StartRoot 65 EndRoot
Option A
B
12
C
13
D
StartRoot 153 EndRoot
Option D
3

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.
4

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
5

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)
6

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
7

Angelica calculated the distance between the two points shown on the graph below.Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.Step 3: Substitute the values into the Pythagorean theorem: .Step 4: Evaluate She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?

Question illustration
A
Angelica is correct.
B
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
C
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
D
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be .
Option D
8

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
18

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

Answer not available
20

What is the length of segment AC?

Question illustration
Answer:

10

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