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Flashcards in Unit 2 Test Deck (27):
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What is inductive vs deductive reasoning?

Inductive reasoning it reaching conclusions based on onservations and deductive reasoning is using logic, facts, and general principles to reach indisputable conclusions.

1

What are Vertical Angles?

Pairs of angles formed by intersecting lines that are not adjacent.

2

What is a transversal?

A line that intersects two coplanar lines at different points.

3

What are corresponding angles?

Pairs of angles formed by a transversal that:
1. Have different vertices
2. One is interior and one is exterior
3. On the same side of the transversal

4

What are Alternate Interior angles?

Pairs of angles formed by a transversal that:
1. Have different vertices
2. Are interior angles
3. Are not on the same side of a transversal

5

What are same-side interior angles?

Pairs of angles formed by a transversal that:
1. Have different vertices
2. Both are interior angles
3. On the same side of a transversal

6

What are alternate exterior angles?

Pairs of angles formed by a transversal that:
1. Have different vertices
2. Both are exterior angles
3. On different sides of the transversal

7

What are remote interior angles?

In a triangle, the interior angles that are nonadjacent to a given exterior angle.

8

What is the parallel postulate?

Given any line and a point not on the line, there is a line parallel to the given line through the given point.

9

What is the Vertical Angles Theorem?

(VAT) Vertical angles are congruent. If any angles are vertical, then they are congruent.

10

What is the Angle Addition Postulate?

(AAP) AVB+BVC=AVC part+part=whole

11

What is the Segment Addition postulate?

(SAP) The A to B and B to C is equal to the distance from A to C. Part + Part = Whole

12

What is the Corresponding Angles Postulate?

(CAP) If a transversal cuts two lines so that corresponding angles are congruent, then the lines are parallel.

13

What is the Alternate Interior Angles Theorem?

(AIAT) If a transversal cuts two lines so that the alternate interior angles are congruent, then the lines are parallel.

14

What is the Alternate Exterior Angles Theorem?

(AEAT) If a transversal cuts two lines so that the alternate exterior angles ares congruent, then the lines are parallel.

15

What is the Same-Side Interior Angles Theorem?

(SSIAT) If a transversal cuts two lines so that the same-side interior angles are supplementary, then the lines are parallel.

16

What is the Converse of Corresponding Angles Postulate?

(CCAP) If a transversal cuts two parallel lines, the the corresponding angle pairs are congruent.

17

What is the Converse of the Alternate Interior Angles Theorem?

(CAIP) If a transversal cuts two parallel lines, then the alternate interior angle pairs are congruent.

18

What is the Converse of the Alternate Exterior Angles Theorem?

(CAEAT) If a transversal cuts two parallel lines, then the alternate exterior angle pairs are congruent.

19

What is the Converse of the Same-Side Interior Angles Theorem?

(CSSIAT) If a transversal cuts two parallel lines, then the same-side interior angle pairs are supplementary.

20

What is the Triangle Exterior Angles Theorem?

(TEAT) In any triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

21

What is the Triangle Interior Angles Theorem?

(TIAT) In a triangle, the sum of the measures of the interior angles is 180.

22

What is the measure of each interior angles in an n-sided regular polygon?

(n-2)180
---------
n

23

What is the measure of each exterior angle in a regular polygon?

360
-----
n

24

What is the sum of the measures of the interior angles in an n-sided polygon?

(n-2)180

25

What is the Sum of the Exterior angles in a polygon?

360

26

What is a regular polygon?

A polygon with all of its sides and all of its angles congruent.