Chapter 2 Study Guide

Question 1

Same side Interior angles

Answer 1

Two angles that are on the same side of the transversal between the two lines

Question 2

Alternate interior angles

Answer 2

Angles in the inner side of the transversal but ok opposite sides

Question 3

Same side exterior angles

Answer 3

Angles that are on the exterior of the parallel lines and the same side of the transversal

Question 4

Alternate exterior angles

Answer 4

Angles on different sides of the transversal and exterior to the parallel lines

Question 5

Corresponding angles

Answer 5

Angles of the same measure/ equal in size

Question 6

Vertical angles

Answer 6

Angles that lie opposite to each other when two lines intersect

Question 7

Linear pair

Answer 7

Adjacent angles that add up to 180 degrees / two angles that can be combined to make a line

Question 8

Postulate 2-1: Same side interior angles postulate

Answer 8

If a transversal intersects two parallel lines, then the same side interior angles are supplementary

Question 9

Theorem 2-1: Alternate interior angles theorem

Answer 9

If a transversal intersects two parallels, then alternate interior angles are congruent

Question 10

Theorem 2-2: Corresponding Angles theorem

Answer 10

If a transversal intersects two parallel lines, then corresponding angles are congruent

Question 11

Theorem 2-3: alternate exterior angles theorem

Answer 11

If a transversal line intersects two parallel lines, then alternate exterior angles are congruent

Question 12

Theorem 2-4: Converse of the corresponding angles theorem

Answer 12

If two lines and a transversal form corresponding angles are congruent, then the lines are parallel

Question 13

Theorem 2-5: Converse of the alternate Interior angles theorem

Answer 13

If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel

Question 14

Theorem 2-6: Converse of the Same-Side Interior Angles Postulate

Answer 14

If two lines and a transversal form same side interior angles that are supplementary, then the lines are parallel

Question 15

Theorem 2-7: Converse of the Alternate Exterior Angles Theorem

Answer 15

If two lines and a transversal form alternate exterior angles that are congruent, then the lines are parallel

Question 16

Theorem 2-8

Answer 16

If two lines are parallel to the same line, the. They are parallel to each other

Question 17

Theorem 2-9

Answer 17

If two lines are perpendicular to the same line, then they are parallel to each other

Question 18

Theorem 2-10

Answer 18

Through a point not on a line, there is one and only one parallel to the given line

Question 19

Theorem 2-11: Triangle Angle Sum Theorem

Answer 19

The sum of the measures of all the angles in a triangle is equal to 180 degrees

Question 20

Theorem 2-12: Triangle Exterior Angle Theorem

Answer 20

The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles

Question 21

Remote interior angles

Answer 21

The distant angles from the exterior angle being used

Question 22

Theorem 2-13

Answer 22

Two non vertical lines are parallel if and only if their slopes are equal. Any two vertical lines are parallel

Question 23

Theorem 2-14

Answer 23

Two non vertical lines are perpendicular if and only if the product of their slopes is -1. A vertical line and a horizontal line are perpendicular to each other.

Question 24

If measure of angle 1 is equal to 71 find the measure of each angle: angle 5 ( HINT: Angles 1 and 5 are corresponding)

Answer 24

71 degrees

Question 25

Use the Triangle Angle Sum Theorem: Find x and y. There are two triangles l. The first one has remote angles of 32 and 78 and then there’s. The second triangle has the remote interior angle of 57.

Answer 25

Steps to solve:
32+78+x = 180
180-110=x
X=70
angles QRT + angles TRS =180
Y+78= 180
180-78
Y= 102

Question 26

Find x: The remote interior angles are 54 and 57, x is the exterior angle

Answer 26

Steps to solve:
54+57
=111

Question 27

Find x: The remote interior angle is 49 and the exterior angle is 104, x is an interior angle

Answer 27

Steps to Solve:
104-49
=55