Question

we will work far more with parallel lines and all these different angle pairs. there is one final fact that is very important regarding parallel lines. parallel line postulate given line m and point p not on line m, there exists only one line that can be drawn through point p that is parallel to line m. (a postulate is something that is assumed to be true without proof.) exercise #5: illustrate the parallel line postulate on the given diagram.

Explanation:

Step1: Place a straight - edge

Place a straight - edge along line $m$.

Step2: Align a set - square

Align one side of a set - square with the straight - edge.

Step3: Slide the set - square

Slide the set - square along the straight - edge until the other side of the set - square touches point $P$.

Step4: Draw the line

Draw a line along the side of the set - square that touches point $P$. This is the line parallel to $m$ through $P$.

Answer:

Draw a line through point $P$ that is parallel to line $m$ using a straight - edge and set - square as described above.