In diagram #1 which two lines are parallel if m(angle 10) + m(angle 11) = 180
m is parallel to n
100
What is reason #1 in the proof?
Given
100
In diagram #1 What is the postulate that makes angle 1 and angle 11 congruent, if lines m and n are parallel?
Corresponding angles Postulate
100
In diagram #1 If angle 1 measures 68 degrees, what is the measure of angle 18?
Angle 18 measure is = 68 degrees
100
What is the given in the proof?
Angle 4 is congruent to Angle 6
200
In diagram #1 Which angle is congruent to angle 9 if line m is parallel to line n by the converse of the alternate interior angles theorem?
angle 11 is congruent to angle 9.
200
What is reason #3 in the proof?
Vertical angles theorem.
200
In diagram #1 What is the postulate that lets measure of angle 4 + measure of angle 5 = measure of angle ABC?
Angle addition postulate.
200
In diagram #1 If angle 12 and 13 are complementary and measure of angle 12 = 50, what is the measure of angle 13
measure of angle 13 = 40
200
In the proof What is statement #1?
Angle 4 is congruent to angle 6
300
In diagram #1 What two angles could be congruent to make line r parallel to line s?
Angles: 11, 14 or 14, 18 or 1, 3 or 3 ,9
300
What is statement #3 in the proof?
Angle 4 is congruent to angle 2.
300
Use the angle addition postulate to write an equation for picture # 4
2x + 15 + 5x - 11 = 60
300
In diagram #1 Angle 12 and angle 13 are complementary and angle 12 = 50. If lines m and n are parallel, what is the measure of angle 8?
Measure of angle 8 = 40.
300
In the proof What is reason #2?
Definition of vertical angles.
400
What is the equation of the line parallel to:
y = 2x - 12
and goes through point (3,4)
y = 2x - 2
400
What label is missing from the diagram of the proof?
Angle 2 is missing as a vertical angle to angle 4.
400
Name the postulate from this description:
Two lines are parallel if the corresponding angles that are formed from the transversal that cuts them are congruent.
Converse of the Corresponding Angles Postulate
400
In diagram #1 what is the vertical angle to angle 8?
angle 5 is vertical to angle 8.
400
In the proof What is statement #4 in the proof?
angle 2 is congruent to angle 6
500
In diagram #1 If angle 12 and 13 are complementary and measure of angle 12 = 50, what is the measure of angle 13
measure angle 13 = 40
500
What is the name or the words of the theorem in the proof?
Converse of the Alternate Interior Angle Theorem.
or
If two lines cut by are cut by a transversal so that the alternate interior angles are congruent then the two lines are parallel.