Geometry: Chapter 3

Question 0

alternate interior angles (AIA)

Answer 0

• opposite sides of t
• between L1 and L2
• non-adjacent

Question 1

transversal

Answer 1

A line that intersects two coplanar lines at two distinct points.

Question 2

same-side interior angles

Answer 2

• same side as t

* between L1 and L2

Question 3

corresponding angles

Answer 3

• same side of t

* both above or both below L1 and L2

Question 4

alternate exterior angles

Answer 4

• opposite sides of t
• outside L1 and L2
• non-adjacent

Question 5

Corresponding Angles Postulate

Answer 5

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

Question 6

Alternate Interior Angles Theorem

Answer 6

If a transverse intersects two parallel lines, then alternate interior angles are congruent.

Question 7

Same-Side Interior Angles Theorem

Answer 7

If a transverse intersects two parallel lines, then same-side interior angles are supplementary.

Question 8

Two-column proof

Answer 8

A proof where statements and reasons are aligned in columns.

Question 9

Converse of the Corresponding Angles Postulate

Answer 9

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

Question 10

Converse of the Alternate Interior Angles Theorem

Answer 10

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

Question 11

Converse of the Same-Side Interior Angles Theorem

Answer 11

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

Question 12

Flow proof

Answer 12

A proof where arrows show the logical connections between the statements.

Question 13

Triangle Angle-Sum Theorem

Answer 13

The sum of the measure of a triangle is 180.

Question 14

Equiangular triangle

Answer 14

All angles are congruent

Question 15

Acute triangle

Answer 15

All angles are acute

Question 16

Right triangle

Answer 16

Triangle with one right angle.

Question 17

Obtuse triangle

Answer 17

Triangle with one obtuse angle

Question 18

Equilateral triangle

Answer 18

Triangle where all sides are congruent.

Question 19

Isosceles

Answer 19

Triangle with at least two congruent sides.

Question 20

Scalene

Answer 20

Triangle with no congruent sides.

Question 21

Exterior angle of a polygon

Answer 21

An angle formed by a side and an extension of an adjacent side of a polygon.

Question 22

Remote interior angles

Answer 22

The two nonadjacent interior angles corresponding to each exterior angle of a triangle.

Question 23

Triangle Exterior Angle Theorem

Answer 23

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

Question 24

Polygon

Answer 24

A closed plane figure with at least three sides that are segments.

Question 25

Convex polygon

Answer 25

A polygon with no diagonal points on the outside

Question 26

Concave polygon

Answer 26

A polygon with at least one diagonal with points on the outside.

Question 27

Polygon Angle-Sum Theorem

Answer 27

The sum of the measures of the angles of a n-gon is (n-2)180

Question 28

Polygon Exterior Angle-Sum Theorem

Answer 28

The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.

Question 29

Equilateral polygon

Answer 29

Polygon with all congruent sides

Question 30

Equiangular polygon

Answer 30

Polygon with all congruent angles

Question 31

Regular polygon

Answer 31

Polygon that is both equilateral and equiangular.

Question 32

Slope-intercept form

Answer 32

y = mx + b m is the slope of the line b is the y-intercept

Question 33

Standard form of a linear equation

Answer 33

Ax + By = C A, B, C are real numbers A and B are not zero

Question 34

Theorem 3-5

Answer 34

In a plane, if two lines are parallel to the same line, then they are parallel to each other.

Question 35

Theorem 3-6

Answer 35

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

Question 36

Parallel Postulate

Answer 36

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

Question 37

Spherical Geometry Parallel Postulate

Answer 37

Through a point not on a line, there is no line parallel to the given line.