On a coordinate plane, any movement up and down is on the y-axis. So if your parallelogram is moving down 2.5 units, then the y-values of each vertice will go down by 2.5:
A(-2, -8), B(-4, -8), C(-3, -4.5), D(-1, -4.5)
See the attached picture to better understand the problem
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units
the answer part a) isBD= 8 unitsPart b) Find angle CBD
we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°
the answer Part b) is∠CBD=23 degrees
#3.
√18²-5.7² Second Choice
#4
l²=5²+4² = 25+16 = = 41
l=√41
l= 6.4
Second Choice
#5 Only A --- First choice
#7 6 ----- Third choice
#8 V=
942 units³ ---Second choice
-15 + 7 is the addiction expression
