QuestionMathematics Progress Check
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Mathematics Progress Check
Complete the square above. What are the coordinates of the missing vertex?
A.
B.
C.
D.
Studdy Solution
STEP 1
1. The given L-shaped figure is part of a square.
2. The task is to determine the coordinates of the missing vertex to complete the square.
STEP 2
1. Identify the existing vertices of the L-shape.
2. Determine the side length of the square.
3. Calculate the coordinates of the missing vertex.
STEP 3
Identify the existing vertices of the L-shape. The L-shape has the following vertices: - Vertical line from to . - Horizontal line from to .
STEP 4
Determine the side length of the square. The vertical line from to is units long, and the horizontal line from to is units long. Since it is a square, both sides should be equal, so the side length is .
STEP 5
Calculate the coordinates of the missing vertex. The missing vertex should complete the square. Starting from , move vertically down units to maintain the square's side length. This gives the coordinates .
The coordinates of the missing vertex are:
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