Final answer:
To find the other two vertices of the square, we need to understand the properties of a square. One property of a square is that its sides are congruent and perpendicular to each other. Therefore, the distance between the two given points (-3,5) and (3,5) should be equal, distance between the other two vertices. The correct answer is D) (-6,5), (6,5).
Step-by-step explanation:
To find the other two vertices of the square, we need to understand the properties of a square.
One property of a square is that its sides are congruent and perpendicular to each other.
Therefore, the distance between the two given points (-3,5) and (3,5) should be equal to the distance between the other two vertices.
In this case, the distance between (-3,5) and (3,5) is 6 units.
So, we need to find two points that are also 6 units away from (-3,5) or (3,5). Let's evaluate each option:
A) (-3,0), (3,0): The distance between (-3,5) and (-3,0) is 5 units, and the distance between (3,5) and (3,0) is 5 units. Therefore, this option doesn't satisfy the condition.
B) (0,5), (0,-5): The distance between (-3,5) and (0,5) is 3 units, and the distance between (3,5) and (0,5) is 3 units. Therefore, this option doesn't satisfy the condition.
C) (-3,10), (3,10): The distance between (-3,5) and (-3,10) is 5 units, and the distance between (3,5) and (3,10) is 5 units. Therefore, this option doesn't satisfy the condition.
D) (-6,5), (6,5): The distance between (-3,5) and (-6,5) is 3 units, and the distance between (3,5) and (6,5) is 3 units. Therefore, this option satisfies the condition and can be the other two vertices of the square.
So, the correct answer is D) (-6,5), (6,5).