Question
DOROINATE GEOMETRY Graph each quadrilateral with the given vertice
Determine whether the figure is a parallelogram. Justify your answer wi
the method indicated.
24.
; Slope Formula
Determine whether the figure is a parallelogram. Justify your answer wi
the method indicated.
24.
Ask by Pierce Mathis. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The quadrilateral
with vertices
,
,
, and
is a parallelogram because both pairs of opposite sides are parallel.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Beyond the Answer
To graph the quadrilateral with vertices A(-3,4), B(4,5), C(5,-1), and D(-2,-2), plot each point on a coordinate plane and connect them in order. You’ll see a figure that resembles a skewed quadrilateral! Using the slope formula
, find the slopes of segments AB, BC, CD, and DA to determine if opposite sides are parallel.
Upon calculating the slopes:
- Slope AB =
- Slope BC =
- Slope CD =
- Slope DA =
Since the slopes of AB and CD are equal (
) and the slopes of BC and DA are equal (-6), you can conclude that the figure is a parallelogram because both pairs of opposite sides have equal slopes, which confirms they are parallel.