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Advanced Geometry Mr. Hamilton > Unit 2 Test > Flashcards

Unit 2 Test Flashcards

0
Q

What are Vertical Angles?

A

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

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1
Q

What is inductive vs deductive reasoning?

A

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

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2
Q

What is a transversal?

A

A line that intersects two coplanar lines at different points.

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3
Q

What are corresponding angles?

A

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
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4
Q

What are Alternate Interior angles?

A

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
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5
Q

What are same-side interior angles?

A

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
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6
Q

What are alternate exterior angles?

A

Pairs of angles formed by a transversal that:

  1. Have different vertices
  2. Both are exterior angles
  3. On different sides of the transversal
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7
Q

What are remote interior angles?

A

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

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8
Q

What is the parallel postulate?

A

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

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9
Q

What is the Vertical Angles Theorem?

A

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

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10
Q

What is the Angle Addition Postulate?

A

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

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11
Q

What is the Segment Addition postulate?

A

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

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12
Q

What is the Corresponding Angles Postulate?

A

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

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13
Q

What is the Alternate Interior Angles Theorem?

A

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

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14
Q

What is the Alternate Exterior Angles Theorem?

A

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

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15
Q

What is the Same-Side Interior Angles Theorem?

A

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

16
Q

What is the Converse of Corresponding Angles Postulate?

A

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

17
Q

What is the Converse of the Alternate Interior Angles Theorem?

A

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

18
Q

What is the Converse of the Alternate Exterior Angles Theorem?

A

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

19
Q

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

A

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

20
Q

What is the Triangle Exterior Angles Theorem?

A

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

21
Q

What is the Triangle Interior Angles Theorem?

A

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

22
Q

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

A

(n-2)180
———
n

23
Q

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

A

n

24
Q

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

A

(n-2)180

25
Q

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

A

360

26
Q

What is a regular polygon?

A

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

Advanced Geometry Mr. Hamilton (5 decks)

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