What is the slope of the line perpendicular to given line

Assignment Help Mathematics

Reference no: EM131567371

Assignment

1. Write two conditional statements that have false converse statements. Be sure to write out both the conditional statement and its converse. Do not use the examples given in the lesson or from the book.

2. Complete the proof below using the 2-column method.

Given: POR + ROS = POS
POS = 31 degrees
Prove: ROS = 13 degrees

Statement Reason

3. Using the graph below, answer questions A-G. Be sure to show your work to earn full credit for correct answers.

A. What is the slope of the given line?

B. What is the slope of the line perpendicular to the given line?

C. What is the slope of the line that is parallel to the given line?

D. Find the equation of the line that is perpendicular to the given line and passes through the point (-1, 2).

E. What is the y-intercept of the equation from part (D)?

F. Find the equation of the line that is parallel to the given line and passes through the point (0, -6).

G. What is the x-intercept of the equation from part (F)?

4. Find the value of angle c. Explain/justify your steps.

a = 2x +10
b = 3x + 20

A. Draw two parallel lines and a transversal that intersects both lines. Label the eight angles that are formed as angle 1, 2, 3, 4, 5, 6, 7, and 8.

B. Identify a pair of angles from your drawing in Part A for each of the following:

a. Corresponding Angles:
b. Same Side Interior Angles:
c. Alternate Interior Angles:
d. Alternate Exterior Angles:

Reference no: EM131567371

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