Does this figure have symmetry? Yes, because if you fold it in half, both halves match up.
Yes, because if you rotate it less than one full turn, the figure carries onto itself.
No, because if you fold it in half, both halves do not match up.
No, because if you rotate it 90 degrees, it does not carry onto itself.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

1. perpendicular

2. parallel

3. perpendicular