Unit 1 Flashcards

1
Q

How do you name a point?

A

With a single capital letter

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2
Q

How do you define a plane?

A

By 3 noncollinear points

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3
Q

What are the ways to name a plane?

A

With 3 noncollinear points or a script capital letter

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4
Q

Two or more points that lie in the same line are called what?

A

Collinear

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5
Q

Three or more points that lie in the same plane are called what?

A

Coplanar

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6
Q

If you draw 3 points that are noncollinear, how many planes go through those points?

A

One

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7
Q

If you draw 2 points, how many planes pass through them?

A

Infinite

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8
Q

What is formed by the intersection of 2 planes?

A

A line

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9
Q

What is formed by the intersection of 2 lines?

A

A point

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10
Q

How do you name a line?

A
  1. With any 2 points and the symbol for line above it
  2. With a lowercase letter (no symbol)
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11
Q

How do you name a line segment?

A

Line Segment: With the 2 endpoints and the line symbol above it

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12
Q

How do you name a ray?

A

Ray: With the endpoint first, followed by another point on the ray, with the ray symbol above it

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13
Q

What do opposite rays look like?

A

A line

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14
Q

If you draw 2 opposite rays, what do they have in common?

A

The endpoint

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15
Q

What are 2 congruent segments?

A

2 segments with the same length

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16
Q

On a number line what is the coordinate, the number or the letter?

A

The number

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17
Q

How do you find the length of a segment on a number line?

A

The absolute value of the difference of the coordinates

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18
Q

What does midpoint mean?

A

Point in the middle of a line segment creating 2 congruent segments

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19
Q

What is the midpoint formula on a number line?

A

M = (A+B)/2

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20
Q

What is the difference between definition of midpoint and the midpoint theorem?

A

Definition compares the 2 smaller segments. Theorem compares smaller to larger segment

21
Q

What is a segment bisector?

A

A line ray or segment that cuts a segment in half

22
Q

Where is a vertex of an angle?

A

Where the sides intersect

23
Q

What are 3 ways to name an angle? What is the catch to two of those methods?

A
  1. 3 letter method - vertex must be second
  2. Little number method
  3. Vertex only method - only if one angle has that vertex
24
Q

How do we measure an angle?

A

In degrees

25
Q

What is the smallest and largest possible measure for an angle?

A

Greater than 0º but less than 180º

26
Q

What is an acute angle?

A

An angle with measure less than 90º

27
Q

What is an obtuse angle?

A

An angle with measure greater than 90°

28
Q

What is a right angle?

A

An angle with measure equal to 90°

29
Q

What are congruent angles?

A

2 angles with the same measure (the same number of degrees)

30
Q

What is the rule involving right angles? (word for word)

A

All right angles are congruent

31
Q

What are adjacent angles?

A

Two angles that share a common vertex, share a common side, and do not overlap

32
Q

What is an angle bisector?

A

A ray that divides an angle in half creating 2 congruent angles

33
Q

What is the difference between the definition of angle bisector and the angle bisector theorem?

A

The definition compares smaller angle to smaller angle. The theorem compares smaller angle to larger angle

34
Q

What are vertical angles?

A

The opposite angles formed by two intersecting lines

35
Q

What is the rule with vertical angles? (word for word)

A

Vertical angles are congruent

36
Q

What is the definition of complementary angles?

A

2 angles whose measures add up to 90º.

37
Q

Can complementary angles be adjacent?

A

Yes

38
Q

What is the definition of supplementary angles?

A

2 angles whose measures add up to 180º.

39
Q

Can supplementary angles be adjacent?

A

Yes

40
Q

What do we call 2 adjacent supplementary angles?

A

A linear pair

41
Q

So the rule for linear pair is if two angles form a linear pair, then they are_____?

A

Supplementary

42
Q

What are the 4 steps when you see a variable (x)?

A
  1. Set up an equation
  2. Solve the equation
  3. Substitute in for variable
  4. Answer the question
43
Q

If the measure of an angle is x°, what is the measure of its complement?

A

measure of the complement: 90 – x

44
Q

If the measure of an angle is x°, what is the measure of its supplement?

A

measure of the supplement: 180 – x

45
Q

What is the difference between supplementary and a linear pair?

A

A linear pair must be adjacent, while supplementary angles do not have to be adjacent

46
Q

What should you mark whenever you have a midpoint?

A

Congruent segments

47
Q

What should you mark whenever you have a segment bisector?

A

Congruent segments

48
Q

What should you mark whenever you have an angle bisector?

A

Congruent angles

49
Q

What should you mark whenever you have vertical angles?

A

Congruent angles