Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is





The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
Answer:
1440.08 mi
Step-by-step explanation:
Pythagorean Theorem:
= 1440.08
For this case we have that by definition:
A triangle is defined by three lines that are called sides, or by three points called vertices.
We know that:
- <em>The vertices of a triangle are labeled with capital letters.
</em>
- <em>The sides of a triangle are written with lowercase letters.
</em>
- <em>The angles of a triangle are written similarly to the vertices.
</em>
Answer:
The end points of the triangle are called vertices.
They are labeled in capital letters.
Given:



To find:
The measure of angle MFZ.
Solution:
In triangles MFZ and PFZ,
(Right angle)
(Given)
(Common side)
(HL congruent postulate)
(CPCTC)




The value of x is 10.
The measure of angle MFZ is:



Therefore, the measure of angle MFZ is 19 degrees.