Unit 4 Geometry Review: Theorems, Postulates, and Parallel Lines
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25 Terms
What is the measure of angle N if m
151°
What is the measure of angle B if m
299°
What is the measure of angle C if m
53°
What theorem justifies that lines are parallel if m<1 = m<2?
Corresponding Angles Postulate
What theorem justifies that lines are parallel if m<2 + m<10 = 180°?
Consecutive Interior Angles Theorem
What is the equation of the line through (3,0) parallel to y = 1 ½ x + 1?
y = 2/3x - 2
What is the equation of the line through (1,3) perpendicular to y = 1x + 5?
y = -1x + 4
What is the relationship between angles 21 and 22 if they are alternate exterior angles?
They are equal.
What is the relationship between angles 15 and 17 if they are alternate interior angles?
They are equal.
What is the relationship between angles 42 and 210 if they are corresponding angles?
They are equal.
What is the measure of angle 10 if it is corresponding to angle 2 and m<2 = 130°?
130°
What is the measure of angle 9 if it is linear to angle 2 and m<2 = 130°?
50°
What theorem justifies that if two lines are cut by a transversal and the alternate interior angles are equal, the lines are parallel?
Converse of the Alternate Interior Angles Theorem.
What is the measure of angle 12 if it is alternate exterior to angle 14?
50°.
What is the measure of angle 6 if it is corresponding to angle 14?
m<6 = m<14.
What is the measure of angle 1 if m<1 = 110 and m<3 = 70?
180°.
What is the measure of angle 2 if it is supplementary to angle 1?
70°.
What is the relationship between angles 9 and 14 if they are consecutive exterior angles?
They are supplementary.
What is the measure of angle 3 if it is vertical to angle 2?
110°.
What is the measure of angle 5 if it is corresponding to angle 3?
70°.
What is the measure of angle 4 if it is linear to angle 10?
130°.
What is the measure of angle 29 if it is equal to angle 25?
25°.
What is the measure of angle 6 if it is equal to angle 14?
56°.
What is the measure of angle 12 if it is equal to angle 14?
56°.
What is the measure of angle 8 if it is equal to angle 10?
110°.
Note 
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