Question

Quadrilateral OHMY has the following characteristics:

Slope of OH = -1/3
Length of OH = 10
Slope of HM = -3
Length of HM = 210
Slope of MY = 1/3
Length of MY = 10
Length of OY = 210
Slope of OY = -3
Choose the most specific classification for OHMY.
Kite
Parallelogram
Trapezoid
Square
Rectangle
Rhombus

Answer 1

Quadrilateral OHMY can be classified as a parallelogram because it has two pairs of opposite sides that are parallel and equal in length, but it is not a rhombus, square, or rectangle as the lengths of all sides are not equal.

Step-by-step explanation:

To classify the quadrilateral OHMY, we need to consider the slopes and lengths of its sides. A parallelogram has opposite sides that are parallel and equal in length. A rhombus is a special type of parallelogram where all sides have equal length, but the angles are not necessarily 90 degrees. A rectangle is a parallelogram with all angles being 90 degrees. A square is a parallelogram that is both a rhombus and a rectangle, meaning it has equal sides and all angles are 90 degrees.

Given the characteristics of OHMY, here is how we classify it:

• OH and MY have the same length (10) and opposite slopes (-1/3 and 1/3), making them parallel and equal in length.
• HM and OY have the same length (210) and opposite slopes (-3 and 3), making them parallel and equal in length.
• All sides are not equal in length, as OH and MY are shorter than HM and OY, meaning OHMY is not a rhombus or square.
• OHMY has two pairs of sides that are both parallel and equal in length, satisfying the definition of a parallelogram.

Considering the above points, OHMY can be classified as a parallelogram.