Reflected over the X-axis is a single transformation that got A to B
<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
(3/4)(4/4)=(3*4)/(4*4)=12/16
7/16
(5/8)(2/2)=(5*2)/(8*2)=10/16
/Answer: Option C. 12/16, 7/16, 10/16
Answer:
7x² - 6x + 4
Step-by-step explanation:
(4x² - x + 6) - (-3x² + 5x + 2)
4x² - x + 6 + 3x² - 5x - 2
4x² + 3x² - x - 5x + 6 - 2
7x² - 6x + 4
X will equal 0 and y will equal -3