Parallel Lines, Transversals, Distance & Midpoint
Instructions: Answer all questions to the best of your ability. Show your work in the space provided.
Use the figure of the cube to answer questions 1-3.
1. Name a line segment that is parallel to $\overline{AB}$.
2. Name a line segment that is skew to $\overline{CG}$.
3. Name a transversal that intersects parallel lines $\overline{AD}$ and $\overline{EH}$.
Use the figure to answer questions 4-6. Assume line $l \parallel m$.
4. Name a pair of corresponding angles.
5. If $m\angle3 = 75^\circ$, what is $m\angle5$?
6. The relationship between $\angle4$ and $\angle5$ is called:
7. Find the distance between points A(-3, 4) and B(5, -2).
Formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
8. Find the midpoint of the segment with endpoints C(8, -1) and D(-2, 7).
Formula: $M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$
9. A line segment has one endpoint at E(2, 5) and its midpoint at M(6, 1). Find the coordinates of the other endpoint, F.