What is the missing statement and the missing reason in
step 5?
Statements
Reasons
1. MZADE -60°
1. given
2. ZADE and ZCDF are vert. Zs 2. def. of vert. Zs
3 ADE CDF
3. vert. ZS
4. MZADE - m2CDF
4. def. of a
5. ?
5. ?
6. 45 - 3x
6. subtr. prop
7. 15-X
7. div. prop
(3x+15)
60°
Statement: 60 = 3x + 15; Reason: substitution
Statement: x = 15; Reason: subtraction property of
equality
Statement: 60 = 3x + 15; Reason: transitive property
Statement: x = 15; Reason: subtraction and division
properties of equality
Mark this and return
Save and Exit
hext
Submit

a=r

d=q

c=p

b=s

hope this !

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: 1, 3 and 5 are correct

step-by-step explanation: