Question

Use the diagonals to determine whether a parallelogram with vertices U (2, -2), V (9, -2), W (9, -6), and X (2, -6) is a rectangle, rhombus, or square. Give all the names that apply. UW = XV, so UVWX is a rectangle. The slope of UW = -4/7 and the slope of XV = 4/7. Therefore, the diagonals are not perpendicular. So, UVWX is not a rhombus, nor is it a square. UW ? XV, so UVWX is not a rectangle. The slope of UW = -4/7 and the slope of XV = -7/4. Therefore, the diagonals are perpendicular. So, UVWX is a rhombus and a square. UW ? XV, so UVWX is not a rectangle. The slope of UW = -4/7 and the slope of XV = 4/7. Therefore, the diagonals are not perpendicular. So, UVWX is not a rhombus, nor is it a square. UW = XV, so UVWX is a rectangle. The slope of UW = -4/7 and the slope of XV = 7/4. Therefore, the diagonals are perpendicular. So, UVWX is a rhombus and a square.

          Use the diagonals to determine whether a parallelogram with vertices U (2, -2), V (9, -2), W (9, -6), and X (2, -6) is a rectangle, rhombus, or square. Give all the names that apply.

UW = XV, so UVWX is a rectangle.
The slope of UW = -4/7 and the slope of XV = 4/7.
Therefore, the diagonals are not perpendicular.
So, UVWX is not a rhombus, nor is it a square.

UW ? XV, so UVWX is not a rectangle.
The slope of UW = -4/7 and the slope of XV = -7/4.
Therefore, the diagonals are perpendicular.
So, UVWX is a rhombus and a square.

UW ? XV, so UVWX is not a rectangle.
The slope of UW = -4/7 and the slope of XV = 4/7.
Therefore, the diagonals are not perpendicular.
So, UVWX is not a rhombus, nor is it a square.

UW = XV, so UVWX is a rectangle.
The slope of UW = -4/7 and the slope of XV = 7/4.
Therefore, the diagonals are perpendicular.
So, UVWX is a rhombus and a square.

Use the diagonals to determine whether a parallelogram with vertices U (2, -2), V (9, -2), W (9, -6), and X (2, -6) is a rectangle, rhombus, or square. Give all the names that apply.

UW = XV, so UVWX is a rectangle.
The slope of UW = -4/7 and the slope of XV = 4/7.
Therefore, the diagonals are not perpendicular.
So, UVWX is not a rhombus, nor is it a square.

UW ? XV, so UVWX is not a rectangle.
The slope of UW = -4/7 and the slope of XV = -7/4.
Therefore, the diagonals are perpendicular.
So, UVWX is a rhombus and a square.

UW ? XV, so UVWX is not a rectangle.
The slope of UW = -4/7 and the slope of XV = 4/7.
Therefore, the diagonals are not perpendicular.
So, UVWX is not a rhombus, nor is it a square.

UW = XV, so UVWX is a rectangle.
The slope of UW = -4/7 and the slope of XV = 7/4.
Therefore, the diagonals are perpendicular.
So, UVWX is a rhombus and a square.

Added by Ines L.

Question

Please give Ace some feedback