Question

Malia makes a fabric design by drawing diagonals -between opposite corners. She wants to draw other lines parallel to one of the diagonal lines, as shown by the dashed lines.

a. What should angle 1 be in order for line b to be parallel to line a? Explain

b. What should angle 2 be in order for line c to be parallel to line b? Explain

Answer 1

In order to draw parallel lines, the angles formed by the lines should be equal. Angle 1 in line a and angle 1 in line b should be equal for line b to be parallel to line a. Similarly, angle 2 in line b and angle 2 in line c should be equal for line c to be parallel to line b.

Step-by-step explanation:

To draw parallel lines, we need to ensure that the angles formed by the lines are equal.

a. In order for line b to be parallel to line a, angle 1 should be equal to angle 1 in line a. This is because parallel lines have equal corresponding angles.

b. In order for line c to be parallel to line b, angle 2 should be equal to angle 2 in line b. Again, this is because parallel lines have equal corresponding angles.