Parallel Lines and Intersections

When does a system of equations not have a solution (AKA intersection point)?

• When it two different versions of the same line

• When they have different slopes

• When they have the same y intercept

• When the lines are parallel

Tags

CCSS.8.EE.C.8B

y=3x and 3y-9x=0 are the same line. What is their intersection point(s)?

• (0,0)

• (1,3)

• no solution / no intersection point

• All points / infinitely many solutions

Tags

CCSS.8.EE.C.8B

What is the intersection point of x=0 and y=5x+10? Explain how you know.

Tags

CCSS.8.EE.C.8B

Angles that are in the same POSITION in DIFFERENT intersections.

• Complementary Angles

• Alternate Interior Angles

• Corresponding Angles

• Alternate Exterior Angles

Tags

CCSS.8.G.A.5

Pairs of angles located INSIDE the parallel lines and on OPPOSITE sides of the transversal.

• Alternate Interior Angles

• Complementary Angles

• Alternate Exterior Angles

• Supplementary Angles

Tags

CCSS.8.G.A.5

Pairs of angles located OUTSIDE of the parallel lines and on OPPOSITE sides of the transversal.

• Alternate Interior Angles

• Alternate Exterior Angles

• Same Side Interior Angles

• Same Side Exterior Angles

Tags

CCSS.8.G.A.5

Pairs of angles located OUTSIDE of the parallel line and on the SAME side of the transversal.

• Same Side Exterior Angles

• Corresponding Angles

• Vertical Angles

• Alternate Exterior Angels

Tags

CCSS.8.G.A.5

Angles that are OPPOSITE of each other in the SAME intersection.

• Complementary Angles

• Vertical Angles

• Corresponding Angles

• Supplementary Angles

Tags

CCSS.7.G.B.5

Pairs of angles located INSIDE the parallel line and on the SAME side of the transversal.

• Alternate Interior Angles

• Same Side Interior Angles

Tags

CCSS.8.G.A.5

These angles have a sum of 180 degrees. They form a straight line.

• Vertical Angles

• Corresponding Angles

• Complementary Angles

• Supplementary Angles

Tags

CCSS.7.G.B.5