Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis t
o form point C. Then, point A is reflected over both axes to form point D. The four points become vertices of a quadrilateral. What is the most precise name for the quadrilateral formed, and how do you know?
1 answer:
Answer:
Rectangle
Step-by-step explanation:
Well if point A is on (2,3) and you reflect it over the x axis point B would be located at (2,-3).
Then over the y axis point C would be located at (-2,-3), then reflecting that over the x axis point D is (-2,3)
<em><u>Points</u></em>
__________
A. (2,3)
B. (2,-3)
C. (-2,-3)
D. (-2,3)
__________
So graphing all these points we get a rectangle.
Because it has 4 sides that are 90 degrees and the sides opposite from each other are the same.
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Answer:
No, it's not a right triangle.
Step-by-step explanation:
1. The Pythagorean Theorem states that the area of the square whose side is the hypotenuse (longest side of a right triangle) is equal to the sum of the area of the squares from the two other sides.
2. The longest side in this "triangle" has 18 centimeters, and the other 2 sides are 5 and 12 centimeters.
3. Let's apply the Pythagorean Theorem to see if 5^2 + 12^2 = 18^2
4. Okay, so the sum of the area of the squares from the two other sides is not equal to the hypotenuse squared, therefore, it's not a right triangle.
(Plus, it's not even a triangle because 7 < x < 17, and the third "side", 18, is not between 7 and 17.)