Answer:
see below
Step-by-step explanation:
shape LNMP is :
- flip of mirrored along y-axis
- reflected imaged is ABCD as given
Answer:
a = 16 and b = 13
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
CD = AB , that is
3a - 10 = 2a + 6 ( subtract 2a from both sides )
a - 10 = 6 ( add 10 to both sides )
a = 16
The diagonals of a parallelogram bisect each other, so
AO = CO , that is
2b = 26 ( divide both sides by 2 )
b = 13
Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is
... s + (s+1) + (s+1) = 3s+2
The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so
... 3s+2 = 4s-8
... 10 = s . . . . . . . . add 8-3s to both sides
The length of the shorter side of the triange is 10 units.
