Answer:
Step-by-step explanation:
A rhombus is the parallelogram with perpendicular diagonals. All
<u>Correct statements, reasons:</u>
- A - adjacent angles are supplementary
- B - opposite sides are parallel
- C - diagonals are perpendicular
- E - opposite sides are congruent
<u>Incorrect statements, reasons:</u>
- D - opposite angles are congruent, but not supplementary
- F - diagonals are not congruent, it would be square not rhombus
<span>Given: ΔABC
When written in the correct order, the two-column proof below describes
the statements and justifications for proving the three medians of a
triangle all intersect in one point are as follows:
Statements Justifications
Point F
is a midpoint of Line segment AB </span><span>by Construction
Point E is a midpoint of Line segment
AC
Draw Line segment BE
Draw Line segment FC
Point G is
the point of intersection between
Line segment BE and Line segment FC Intersecting Lines Postulate
Draw Line segment AG by Construction
Point D
is the point of intersection between
Line segment AG and Line segment
BC Intersecting Lines Postulate
Point H lies on Line segment AG such
that
Line segment AG ≅ Line segment GH by Construction
</span><span>Line segment FG is parallel to line segment
BH and Line
segment GE is parallel to line
segment HC Midsegment Theorem
</span><span><span>Line
segment GC is parallel to line segment
BH and Line segment BG is
parallel to
line segment HC Substitution</span>
</span>BGCH is a <span><span><span><span>Properties of a Parallelogram </span>parallelogram (opposite sides are parallel)</span>
</span>Line segment BD
≅ Line segment </span><span><span>Properties of a Parallelogram </span>DC (diagonals bisect each
other)
Line segment
AD is a median Definition of a Median</span>
Thus the most logical order of statements and justifications is: II, III, IV, I
There will be no solution I think but I'm really not sure so just see so I'm only sure so if you get It wrong sorry for you just remember I told you
Answer:
Step-by-step explanation:
The slope of a perpendicular line will always be the NEGATIVE RECIPROCAL of the slope of the original line.
y=2x+5
Because this equation is organized in slope-intercept form, y=mx+b, we can identify the slope of the original line is 2. The negative reciprocal of 2 is 
. Therefore, the slope of the perpendicular line is . So far, our equation looks like this:
Now, we must solve for b, the y-intercept of this line. To do that, we can plug in the given point (-2,8) and solve for b:
Subtract both sides by 1 to isolate b
Therefore, the y-intercept of this line is 7.
After plugging both the slope and the y-intercept into y=mx+b, we get:
I hope this helps!
