Math / Geometry

Question9. Multiple Choice What is the vertical distance between the points $C(2,-0.8)$ and $D(2,1.2)$ ? (A) 0 units (C) 1 unit (B) 0.4 unit (D) 2 units

Studdy Solution

STEP 1

1. The points $C$ and $D$ have the same x-coordinate, indicating they are vertically aligned.
2. The vertical distance is the absolute difference between the y-coordinates of the points.

STEP 2

1. Identify the y-coordinates of the points.
2. Calculate the absolute difference between the y-coordinates.
3. Determine the vertical distance.

STEP 3

Identify the y-coordinates of the points $C$ and $D$ :
- For point $C(2, -0.8)$ , the y-coordinate is $-0.8$ . - For point $D(2, 1.2)$ , the y-coordinate is $1.2$ .

STEP 4

Calculate the absolute difference between the y-coordinates:
$\text{Vertical Distance} = |1.2 - (-0.8)|$

STEP 5

Calculate the expression:
$\text{Vertical Distance} = |1.2 + 0.8|$ $= |2.0|$ $= 2.0$
The vertical distance between the points is:
$\boxed{2 \text{ units}}$

Was this helpful?

Question9. Multiple Choice What is the vertical distance between the points $C(2,-0.8)$ and $D(2,1.2)$ ? (A) 0 units (C) 1 unit (B) 0.4 unit (D) 2 units

Studdy Solution

STEP 1

1. The points $C$ and $D$ have the same x-coordinate, indicating they are vertically aligned.
2. The vertical distance is the absolute difference between the y-coordinates of the points.

STEP 2

1. Identify the y-coordinates of the points.
2. Calculate the absolute difference between the y-coordinates.
3. Determine the vertical distance.

STEP 3

Identify the y-coordinates of the points $C$ and $D$ :
- For point $C(2, -0.8)$ , the y-coordinate is $-0.8$ . - For point $D(2, 1.2)$ , the y-coordinate is $1.2$ .

STEP 4

Calculate the absolute difference between the y-coordinates:
$\text{Vertical Distance} = |1.2 - (-0.8)|$

STEP 5

Calculate the expression:
$\text{Vertical Distance} = |1.2 + 0.8|$ $= |2.0|$ $= 2.0$
The vertical distance between the points is:
$\boxed{2 \text{ units}}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question9. Multiple Choice What is the vertical distance between the points C(2,−0.8)C(2,-0.8)C(2,−0.8) and D(2,1.2)D(2,1.2)D(2,1.2) ? (A) 0 units (C) 1 unit (B) 0.4 unit (D) 2 units

Studdy Solution

STEP 1

1. The points C C C and D D D have the same x-coordinate, indicating they are vertically aligned.2. The vertical distance is the absolute difference between the y-coordinates of the points.

STEP 2

1. Identify the y-coordinates of the points.2. Calculate the absolute difference between the y-coordinates.3. Determine the vertical distance.

STEP 3

Identify the y-coordinates of the points C C C and D D D:- For point C(2,−0.8) C(2, -0.8) C(2,−0.8), the y-coordinate is −0.8-0.8−0.8. - For point D(2,1.2) D(2, 1.2) D(2,1.2), the y-coordinate is 1.21.21.2.

STEP 4

Calculate the absolute difference between the y-coordinates:Vertical Distance=∣1.2−(−0.8)∣ \text{Vertical Distance} = |1.2 - (-0.8)| Vertical Distance=∣1.2−(−0.8)∣

STEP 5

Calculate the expression:Vertical Distance=∣1.2+0.8∣ \text{Vertical Distance} = |1.2 + 0.8| Vertical Distance=∣1.2+0.8∣ =∣2.0∣ = |2.0| =∣2.0∣ =2.0 = 2.0 =2.0 The vertical distance between the points is:2 units \boxed{2 \text{ units}} 2 units​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question9. Multiple Choice What is the vertical distance between the points $C(2,-0.8)$ and $D(2,1.2)$ ? (A) 0 units (C) 1 unit (B) 0.4 unit (D) 2 units

1. The points $C$ and $D$ have the same x-coordinate, indicating they are vertically aligned.
2. The vertical distance is the absolute difference between the y-coordinates of the points.

1. Identify the y-coordinates of the points.
2. Calculate the absolute difference between the y-coordinates.
3. Determine the vertical distance.

Identify the y-coordinates of the points $C$ and $D$ :
- For point $C(2, -0.8)$ , the y-coordinate is $-0.8$ . - For point $D(2, 1.2)$ , the y-coordinate is $1.2$ .

Calculate the absolute difference between the y-coordinates:
$\text{Vertical Distance} = |1.2 - (-0.8)|$

Calculate the expression:
$\text{Vertical Distance} = |1.2 + 0.8|$ $= |2.0|$ $= 2.0$
The vertical distance between the points is:
$\boxed{2 \text{ units}}$