Chapter 1 Activity definitions

Question 1

what are the three undefined terms? why?

Answer 1

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

Question 2

what does collinear mean?

Answer 2

on the same line

Question 3

what does coplanar mean?

Answer 3

on the same plane

Question 4

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

Answer 4

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

Question 5

what makes an equilateral polygon?

Answer 5

all of the sides are the same length

Question 6

what makes an equiangular polygon?

Answer 6

all of the angles are the same degree

Question 7

what makes a regular polygon?

Answer 7

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

Question 8

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

Answer 8

there would be two rays.

Question 9

what is a vertex of an angle?

Answer 9

the endpoint of the two rays.

Question 10

when are angles congruent?

Answer 10

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

Question 11

what is the midpoint of a segment?

Answer 11

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

Question 12

how do you write line segment AB?

Answer 12

AB wihth a line on top.

Question 13

How do you write ray BA?
<–A———-B

Answer 13

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

Question 14

what is a linear pair?

Answer 14

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

Question 15

what is a vertical pair?

Answer 15

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

Question 16

what is the linear pair postulate?

Answer 16

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

Question 17

what do supplementary angles sum up to?

Answer 17

180 degrees

Question 18

what do complementary angles sum up to?

Answer 18

90 degrees

Question 19

what is the vertical angles theorem?

Answer 19

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

Question 20

what makes a right triangle?

Answer 20

a triangle that has at least one 90 degree angle.

Question 21

what makes an acute triangle?

Answer 21

all interior angles must be less than 90 degrees.

Question 22

what makes an obtuse triangle?

Answer 22

has one angle > 90 degrees

and less than 180 degrees

Question 23

what makes a triangle scalene?

Answer 23

has no equal sides

Question 24

what makes a triangle equilateral?

Answer 24

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

Question 25

What makes a triangle isosclees?

Answer 25

It has two equal sides

Question 26

what are vertex angles in triangles?

Answer 26

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

Question 27

what is a base of a triangle?

Answer 27

the side opposite the vertex angle.

Question 28

what are the base angles in a triangle?

Answer 28

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

Question 29

what is a trapezoid?

Answer 29

A quadrilateral with one pair of parallel sides.

Question 30

what is a kite?

Answer 30

A quadrilateral with two distinct pairs of consecutive congruent sides

Question 31

What is a parallelogram?

Answer 31

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.

Question 32

What is a rhombus?

Answer 32

An equilateral parallelogram that has equal opposite angles.

Question 33

What is a rectangle?

Answer 33

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

Question 34

What is a square?

Answer 34

A regular quadrilateral

Question 35

What is an irregular quadrilateral?

Answer 35

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

Question 36

What is a quadrilateral?

Answer 36

a shape with four straight sides.

Question 37

what is a circle?

Answer 37

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

Question 38

what is the center?

Answer 38

the given point in a circle.

Question 39

what is the radius in a circle?

Answer 39

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

Question 40

what is a chord in a circle?

Answer 40

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

Question 41

what is a tangent in a circle?

Answer 41

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

Question 42

what are concentric circles

Answer 42

IF TWO OR MORE COPLANAR CIRCLES SHARE THE SAME CENTER

Question 43

what are congruent circles

Answer 43

if two or more circles have the same radius

Question 44

what is a circumscribed circle

Answer 44

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

Question 45

what is an inscribed circle?

Answer 45

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

Question 46

what is a minor arc of a circle

Answer 46

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

Question 47

what is a major arc of a circle.

Answer 47

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

Question 48

what is a semicircle in a circle.

Answer 48

half of a circle.

Question 49

what is a central angle in a circle?

Answer 49

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