Chapter 1 Activity definitions Flashcards

1
Q

what are the three undefined terms? why?

A

plane, point, line. Because to define them you have to use other words that also need to be defined.

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2
Q

what does collinear mean?

A

on the same line

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3
Q

what does coplanar mean?

A

on the same plane

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4
Q

Explain the difference between MS = DG and MS is congruent to DG.

A

MS is equal to DG shows that two numbers are equal, while MS is congruent to DG shows the congruency between the two figures.

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5
Q

what makes an equilateral polygon?

A

all of the sides are the same length

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6
Q

what makes an equiangular polygon?

A

all of the angles are the same degree

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7
Q

what makes a regular polygon?

A

all of the angles have the same measurement and all of the sides have the same measurement.

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8
Q

how can you tell what the sides of an angle are?

A

there would be two rays.

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9
Q

what is a vertex of an angle?

A

the endpoint of the two rays.

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10
Q

when are angles congruent?

A

if they have equal measures, the same number of degrees.

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11
Q

what is the midpoint of a segment?

A

the point on the segment that is the same distance from both endpoints.

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12
Q

how do you write line segment AB?

A

AB wihth a line on top.

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13
Q

How do you write ray BA?
<–A———-B

A

BA with an arrow line pointing to the right on top.

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14
Q

what is a linear pair?

A

Angles on the same side of a line segment or line; two adjacent angles that sum up to 180 degrees.

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15
Q

what is a vertical pair?

A

pairs of angles that share a single vertex but open in opposite directions.

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16
Q

what is the linear pair postulate?

A

If two angles form a linear pair, then the measures of the angle add up to 180 degrees.

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17
Q

what do supplementary angles sum up to?

A

180 degrees

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18
Q

what do complementary angles sum up to?

A

90 degrees

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19
Q

what is the vertical angles theorem?

A

the vertical angles are formed when two lines intersect are congruent.

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20
Q

what makes a right triangle?

A

a triangle that has at least one 90 degree angle.

21
Q

what makes an acute triangle?

A

all interior angles must be less than 90 degrees.

22
Q

what makes an obtuse triangle?

A

has one angle > 90 degrees

and less than 180 degrees

23
Q

what makes a triangle scalene?

A

has no equal sides

24
Q

what makes a triangle equilateral?

A

all its sides are equal in length, and the angles are equal in measure.

25
Q

What makes a triangle isosclees?

A

It has two equal sides

26
Q

what are vertex angles in triangles?

A

the angle between the two sides of equal length is called the vertex angle.

27
Q

what is a base of a triangle?

A

the side opposite the vertex angle.

28
Q

what are the base angles in a triangle?

A

The two angles opposite the two sides of equal length are called the base angles of the isosceles triangle.

29
Q

what is a trapezoid?

A

A quadrilateral with one pair of parallel sides.

30
Q

what is a kite?

A

A quadrilateral with two distinct pairs of consecutive congruent sides

31
Q

What is a parallelogram?

A

A quadrilateral with two pairs of parallel, opposite sides. It has sides that are of equal length and opposite angles that are of equal measure.

32
Q

What is a rhombus?

A

An equilateral parallelogram that has equal opposite angles.

33
Q

What is a rectangle?

A

An equiangular parallelogram. It has two pairs of opposite equal sides and four right angles.

34
Q

What is a square?

A

A regular quadrilateral

35
Q

What is an irregular quadrilateral?

A

A quadrilateral with four sides that are not regular or the same.

36
Q

What is a quadrilateral?

A

a shape with four straight sides.

37
Q

what is a circle?

A

the set of all points in a plane at a given distance from a given point.

38
Q

what is the center?

A

the given point in a circle.

39
Q

what is the radius in a circle?

A

the given distance in a circle. a line segment going from the middle of the circle to one side of the circle.

40
Q

what is a chord in a circle?

A

a line with both endpoints touching opposite sides of the circle.

41
Q

what is a tangent in a circle?

A

A line outside the circle but touching it in one point.

42
Q

what are concentric circles

A

IF TWO OR MORE COPLANAR CIRCLES SHARE THE SAME CENTER

43
Q

what are congruent circles

A

if two or more circles have the same radius

44
Q

what is a circumscribed circle

A

if a polygon’s vertices are touching the inside of a circle.

45
Q

what is an inscribed circle?

A

if a polygon is on the outside of a circle and a circle’s points are touching it.

46
Q

what is a minor arc of a circle

A

an arc of a circle that is smaller than a semicircle.

47
Q

what is a major arc of a circle.

A

an arc of a circle that is larger than a semicircle.

48
Q

what is a semicircle in a circle.

A

half of a circle.

49
Q

what is a central angle in a circle?

A

the angle with its vertex at the center of the circle.