Answer:
The midpoint is (-1,-1)
This is in quadrant III
Step-by-step explanation:
The x coordinate of the midpoint is
(-4+2)/2 = -2/2 = -1
The y coordinate of the midpoint is
(1+-3)/2 = -2/2 = -1
The midpoint is (-1,-1)
The quadrant with both negative points is quadrant III
The answer to our question is yes
-x-y=1
-y=1+x
y=-1-x
-1-x=-2x+9
-x=-2x+10
x=10
y=-1-10
y=-11
The congruent statement and the reason why the triangles are congruent is (b) ΔUVZ ≅ ΔVYX, SSS
<h3>How to determine the congruent statement and the reason?</h3>
From the question, we have the following parameters that can be used in our computation:
Triangles = UVZ and VYX
There are several theorems that make any two triangles to be congruent
One of these theorems is the SSS congruent theorem
The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent
From the question, we can see that the following corresponding sides on the triangles UVZ and VYX have the same mark
UV and VY
UZ and VX
VZ and YX
This implies that these sides are congruent sides
Hence, the congruent statement on the congruency of the triangles is (b) ΔUVZ ≅ ΔVYX and the reason is by SSS
Read more about congruent triangles at
brainly.com/question/1675117
#SPJ1
The answer is 31.832142857.
