Question

Vince is moving a rectangular picture frame on a wall. The picture frame is 2 feet long and 1 foot tall, If the bottom left corner of the wall is designated (0,0), then the lower left corner of the frame is located at (3,5), where the x- and y-coordinates are measured in feet. Vince moves the picture frame 2 feet to the right and 1 foot up. What is the new position of the frame? Plot the new position of the frame.

Answer 1

Vince moves the rectangular picture frame 2 feet to the right and 1 foot up from its initial position at (3,5), resulting in the new position of the lower left corner of the frame being at (5,6).

Step-by-step explanation:

Vince moves the picture frame on a wall from its initial position at coordinates (3,5) to a new position by moving it 2 feet to the right (in the positive x direction) and 1 foot up (in the positive y direction).

The new position of the lower left corner of the frame can be determined by adding the displacement to the original coordinates:

• Original x-coordinate: 3 feet
• Displacement in x: + 2 feet
• New x-coordinate: 3 feet + 2 feet = 5 feet

• Original y-coordinate: 5 feet
• Displacement in y: + 1 foot
• New y-coordinate: 5 feet + 1 foot = 6 feet

Therefore, the new position of the lower left corner of the picture frame is at the coordinates (5,6).