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Chapter 1 Vocabulary - Discovering Geometry

Total questions: 75

Worksheet time: 38mins

Name
Class
Date
1.
Equiangular Polygon
a)
the point on the segment that is equidistant from the endpoints of the segment
b)
a polygon where all the angles have the same measure
c)
an angle whose measure is less than 90º but greater than 0º
d)
part of a line that is bounded by two end points
2.
Equilateral Polygon
a)
a polygon where all the sides have the same measure
b)
an angle whose vertex is the center of the circle and sides are radii
c)
a polygon where at least one diagonal is outside the polygon
d)
a geometry tool used to measure angles
3.
Quadrilateral
a)
a polygon with four sides
b)
an arc that is smaller than a semicircle
c)
classify, differentiate, test (look for counterexample)
d)
(1) lines are straight.
4.
Polygon
a)
A figure that is formed by the set of all points in a plane at a given distance from a given point in the plane.
b)
a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others.
c)
angles that have the same measure
d)
a polygon with four sides
5.
Hexagon
a)
angles that have the same measure
b)
a six-sided polygon
c)
(2) two lines are perpendicular just because they look perpendicular - they must be marked with a 90º symbol
d)
on the same line
6.
Trapezoid
a)
a polygon with eight sides
b)
a quadrilateral with exactly one pair of parallel sides
c)
on the same line
d)
You represent a line by giving the letter names of any two points on the line and by placing a line symbol above the letters.
7.
Parallelogram
a)
a line extending in one direction from a point
b)
a quadrilateral whose opposite sides are parallel
c)
a polygon with eleven sides
d)
(3) points on a line are collinear and all points shown on a diagram are coplanar.
8.
Rectangle
a)
a parallelogram that is equiangular
b)
a polygon with twelve sides
c)
two angles that share a vertex, a common side, and their non-common sides form a line.
d)
a polygon that is both equilateral and equiangular
9.
Rhombus
a)
a parallelogram that is regular
b)
unit for measuring angles
c)
a parallelogram with four congruent sides. In other words, a parallelogram that is equilateral
d)
(3) points on a line are collinear and all points shown on a diagram are coplanar.
10.
Acute Angle
a)
A surface with no thickness that extends infinitely along its length and width.
b)
A polygon where no diagonal is outside the polygon
c)
a line segment that connects two nonconsecutive vertices of a polygon
d)
an angle whose measure is less than 90º but greater than 0º
11.
Collinear
a)
a polygon with eight sides
b)
two angles that are formed by intersecting lines. The angles share a vertex, but not a common side.
c)
a polygon where all the angles have the same measure
d)
on the same line
12.
Coplanar
a)
two lines that intersect to form a right angle
b)
two angles that share a common side, two sides that share a common vertex, or two vertices that are the endpoints of one side
c)
on the same plane
d)
You represent a line by giving the letter names of any two points on the line and by placing a line symbol above the letters.
13.
Ray
a)
You represent a point with a dot and a capital letter.
b)
a line extending in one direction from a point
c)
having the same value
d)
(1) lines are straight.
14.
Isosceles triangle
a)
two angles that are formed by intersecting lines. The angles share a vertex, but not a common side.
b)
(3) points on a line are collinear and all points shown on a diagram are coplanar.
c)
a polygon with five sides
d)
triangle with at least two congruent sides
15.
Scalene triangle
a)
circles that are coplanar and share the same center
b)
a triangle with no congruent sides
c)
a line extending in one direction from a point
d)
classify, differentiate, test (look for counterexample)
16.
Line Segment
a)
a parallelogram that is equiangular
b)
part of a line that is bounded by two end points
c)
a polygon with three sides.
d)
(3) pairs of angles, segments, or polygons are congruent - they must be marked with congruency symbols, which show that they're congruent
17.
Congruent
a)
angles that have the same measure
b)
polygons whose corresponding sides and angles have the same measure
c)
two angles whose measures have a sum of 90°
d)
having the same size and shape
18.
Equal
a)
an angle whose measure is 90º
b)
two angles that share a vertex, a common side, and their non-common sides form a line.
c)
(1) lines are straight.
d)
having the same value
19.
Midpoint of a segment
a)
(2) If two lines intersect, they intersect at one point.
b)
the point on the segment that is equidistant from the endpoints of the segment
c)
You represent a point with a dot and a capital letter.
d)
a polygon with four sides
20.
Vertex
a)
a point where rays or line segments meet
b)
(1) two lines are parallel just because they look parallel - they must be marked using parallel symbols
c)
a polygon with twelve sides
d)
two angles that share a common side, two sides that share a common vertex, or two vertices that are the endpoints of one side
21.
Angle
a)
(2) If two lines intersect, they intersect at one point.
b)
polygons whose corresponding sides and angles have the same measure
c)
a figure formed by two rays or line segments that have a common endpoint. The two rays / segments can't be collinear.
22.
Perpendicular lines
a)
an angle whose measure is less than 90º but greater than 0º
b)
a six-sided polygon
c)
an arc that is larger than a semicircle
d)
two lines that intersect to form a right angle
23.
Parallel Lines
a)
lines in the same plane that never intersect
b)
In other words,
c)
a line segment that connects two nonconsecutive vertices of a polygon
d)
a polygon with five sides
24.
Complementary angles
a)
a line segment that connects two nonconsecutive vertices of a polygon
b)
two angles whose measures have a sum of 90°
c)
part of a line that is bounded by two end points
d)
lines in the same plane that never intersect
25.
Supplementary angles
a)
a polygon where at least one diagonal is outside the polygon
b)
a polygon with five sides
c)
two angles whose measures have a sum of 180º
d)
a six-sided polygon
26.
Convex Polygon
a)
an arc with endpoints that are the endpoints of a diameter
b)
A polygon where no diagonal is outside the polygon
c)
two angles whose measures have a sum of 90°
d)
polygons whose corresponding sides and angles have the same measure
27.
Bisect
a)
to divide into two equal parts
b)
the point on the segment that is equidistant from the endpoints of the segment
c)
two angles that share a vertex, a common side, and their non-common sides form a line.
d)
on the same line
28.
Diagonal
a)
a line segment that connects two nonconsecutive vertices of a polygon
b)
a line extending in one direction from a point
c)
a segment whose endpoints lie on a circle
d)
angles that have the same measure
29.
Consecutive - angles, sides, vertices
a)
having the same size and shape
b)
A polygon where no diagonal is outside the polygon
c)
two angles that share a common side, two sides that share a common vertex, or two vertices that are the endpoints of one side
d)
a triangle with no congruent sides
30.
Kite
a)
You represent a point with a dot and a capital letter.
b)
classify, differentiate, test (look for counterexample)
c)
polygons whose corresponding sides and angles have the same measure
d)
a quadrilateral with two pairs of distinct congruent sides. The congruent sides share a vertex.
31.
Point
a)
(1) two lines are parallel just because they look parallel - they must be marked using parallel symbols
b)
an angle whose measure is 90º
c)
The most basic building block of Geometry. A point has no size. It only has a location.
d)
polygons whose corresponding sides and angles have the same measure
32.
Line
a)
two angles that are formed by intersecting lines. The angles share a vertex, but not a common side.
b)
two lines that do not intersect and are non-coplanar
c)
A straight continuous arrangements of infinitely many points.
d)
You represent a line by giving the letter names of any two points on the line and by placing a line symbol above the letters.
33.
Plane
a)
You represent a plane with a four sided figure and by placing a script letter inside.
b)
lines in the same plane that never intersect
c)
a polygon where all the angles have the same measure
d)
A surface with no thickness that extends infinitely along its length and width.
34.
Definition
a)
an arc that is smaller than a semicircle
b)
A statement that clarifies or explains the meaning of a word or a phrase.
c)
on the same plane
d)
A surface with no thickness that extends infinitely along its length and width.
35.
Undefined terms of Geometry
a)
a polygon with with six sides
b)
A figure that is formed by the set of all points in a plane at a given distance from a given point in the plane.
c)
point, line, and plane.
d)
an angle whose vertex is the center of the circle and sides are radii
36.
Tick marks
a)
(3) points on a line are collinear and all points shown on a diagram are coplanar.
b)
symbols used to show congruent figures
c)
a parallelogram with four congruent sides. In other words, a parallelogram that is equilateral
d)
point, line, and plane.
37.

Midpoint formula:

a)

(x1+y1/2, x2+y2/2)

b)

((x1-x2)/2, (y1-y2)/2)

c)

((x1+x2)/2, (y1+y2)/2)

d)

(x1+x2/2, y1+y2/2)

38.
Degree
a)
having the same value
b)
two angles that are formed by intersecting lines. The angles share a vertex, but not a common side.
c)
a parallelogram that is equiangular
d)
unit for measuring angles
39.
Protractor
a)
A polygon where no diagonal is outside the polygon
b)
A straight continuous arrangements of infinitely many points.
c)
a geometry tool used to measure angles
d)
a polygon with with six sides
40.
Congruent Angles
a)
a segment whose endpoints lie on a circle
b)
angles that have the same measure
c)
You represent a plane with a four sided figure and by placing a script letter inside.
d)
a polygon with twelve sides
41.
Angle Bisector
a)
a ray that contains the vertex of an angle and divides the angle into two congruent angles
b)
a polygon with eleven sides
c)
part of a line that is bounded by two end points
d)
a polygon with nine sides
42.
Measure of an Angle
a)
the smallest amount of rotation about a vertex from one ray to the other (between 0º and 180º)
b)
a polygon with ten sides
c)
a polygon with seven sides
d)
(3) pairs of angles, segments, or polygons are congruent - they must be marked with congruency symbols, which show that they're congruent
43.
When forming a good definition, you should:
a)
classify, differentiate, test (look for counterexample)
b)
an angle whose measure is 90º
c)
having the same value
d)
A polygon where no diagonal is outside the polygon
44.
Skew lines
a)
having the same size and shape
b)
a line that intersects a circle at exactly one point
c)
having the same value
d)
two lines that do not intersect and are non-coplanar
45.
Right angle
a)
unit for measuring angles
b)
a polygon with four sides
c)
an angle whose measure is 90º
d)
(3) pairs of angles, segments, or polygons are congruent - they must be marked with congruency symbols, which show that they're congruent
46.
Obtuse angle
a)
A statement that clarifies or explains the meaning of a word or a phrase.
b)
a ray that contains the vertex of an angle and divides the angle into two congruent angles
c)
(3) points on a line are collinear and all points shown on a diagram are coplanar.
d)
an angle whose measure is greater than 90º but less than 180º (between 90 and 180º)
47.
Vertical angles
a)
a segment whose endpoints lie on a circle
b)
(2) If two lines intersect, they intersect at one point.
c)
two angles that are formed by intersecting lines. The angles share a vertex, but not a common side.
d)
a polygon with eleven sides
48.
Linear Pair of Angles
a)
two angles that share a vertex, a common side, and their non-common sides form a line.
b)
a polygon with eight sides
c)
(2) If two lines intersect, they intersect at one point.
d)
circles that are coplanar and share the same center
49.
Triangle
a)
A line segment with one endpoint at the center of a circle and the other endpoint on the circle
b)
a polygon with three sides.
c)
a polygon where all the angles have the same measure
d)
an arc that is larger than a semicircle
50.
Pentagon
a)
a quadrilateral whose opposite sides are parallel
b)
unit for measuring angles
c)
having the same value
d)
a polygon with five sides
51.
Hexagon
a)
lines in the same plane that never intersect
b)
You represent a point with a dot and a capital letter.
c)
a polygon with with six sides
d)
a quadrilateral with exactly one pair of parallel sides
52.
Heptagon
a)
a parallelogram that is equiangular
b)
a polygon with seven sides
c)
having the same size and shape
d)
A figure that is formed by the set of all points in a plane at a given distance from a given point in the plane.
53.
Octagon
a)
a quadrilateral whose opposite sides are parallel
b)
a line segment containing the center of the circle, with endpoints on the circle
c)
unit for measuring angles
d)
a polygon with eight sides
54.
Nonagon
a)
angles that have the same measure
b)
a figure consisting of two points on a circle and the continuous part between the points
c)
a polygon with eight sides
d)
a polygon with nine sides
55.
Decagon
a)
a quadrilateral whose opposite sides are parallel
b)
A line segment with one endpoint at the center of a circle and the other endpoint on the circle
c)
a polygon with ten sides
d)
a polygon with with six sides
56.
Undecagon
a)
a quadrilateral with two pairs of distinct congruent sides. The congruent sides share a vertex.
b)
two lines that do not intersect and are non-coplanar
c)
a ray that contains the vertex of an angle and divides the angle into two congruent angles
d)
a polygon with eleven sides
57.
Dodecagon
a)
a polygon with twelve sides
b)
(3) pairs of angles, segments, or polygons are congruent - they must be marked with congruency symbols, which show that they're congruent
c)
a quadrilateral whose opposite sides are parallel
d)
having the same value
58.
Concave Polygon
a)
a polygon where at least one diagonal is outside the polygon
b)
a line segment that connects two nonconsecutive vertices of a polygon
c)
A polygon where no diagonal is outside the polygon
d)
a line segment containing the center of the circle, with endpoints on the circle
59.
Things you can assume:
a)

If two lines intersect, they intersect at one point.

b)

Two lines are parallel just because they look parallel

c)

Lines are straight.

d)

Points on a line are collinear and all points shown on a diagram are coplanar.

e)

Pairs of angles, segments, or polygons are congruent

60.

Things you can't assume:

a)

Lines are straight.

b)

Pairs of angles, segments, or polygons are congruent - they must be marked with congruency symbols, which show that they're congruent

c)

Two lines are parallel just because they look parallel - they must be marked using parallel symbols

d)

Two lines are perpendicular just because they look perpendicular - they must be marked with a 90º symbol

e)

Points on a line are collinear and all points shown on a diagram are coplanar.

61.
Square
a)
a parallelogram that is regular
b)
a polygon where at least one diagonal is outside the polygon
c)
symbols used to show congruent figures
62.
Circle
a)
A figure that is formed by the set of all points in a plane at a given distance from a given point in the plane.
b)
a polygon that is both equilateral and equiangular
c)
a polygon with three sides.
d)
(3) points on a line are collinear and all points shown on a diagram are coplanar.
63.
Radius
a)
a triangle with no congruent sides
b)
a polygon with equal angles and equal sides
c)
A line segment with one endpoint at the center of a circle and the other endpoint on the circle
64.
Diameter
a)
two angles that are formed by intersecting lines. The angles share a vertex, but not a common side.
b)
a line segment containing the center of the circle, with endpoints on the circle
c)
two lines that intersect to form a right angle
d)
a polygon with seven sides
65.
Congruent Circles
a)
a segment whose endpoints lie on a circle
b)
a polygon with ten sides
c)
circles that have the same radius
d)
classify, differentiate, test (look for counterexample)
66.
Concentric Circles
a)
two angles that share a vertex, a common side, and their non-common sides form a line.
b)
circles that are coplanar and share the same center
c)
a parallelogram that is equiangular
d)
a polygon with three sides.
67.
Arc of a Circle
a)
lines in the same plane that never intersect
b)
a segment whose endpoints lie on a circle
c)
a figure consisting of two points on a circle and the continuous part between the points
68.
Semicircle
a)
an arc with endpoints that are the endpoints of a diameter
b)
unit for measuring angles
c)
an angle whose measure is less than 90º but greater than 0º
d)
(1) two lines are parallel just because they look parallel - they must be marked using parallel symbols
69.
Minor Arc
a)
a segment whose endpoints lie on a circle
b)
circles that are coplanar and share the same center
c)
A statement that clarifies or explains the meaning of a word or a phrase.
d)
an arc that is smaller than a semicircle
70.
Major Arc
a)
A statement that clarifies or explains the meaning of a word or a phrase.
b)
A figure that is formed by the set of all points in a plane at a given distance from a given point in the plane.
c)
two angles that are formed by intersecting lines. The angles share a vertex, but not a common side.
d)
an arc that is larger than a semicircle
71.
Tangent
a)
A polygon where no diagonal is outside the polygon
b)
(2) If two lines intersect, they intersect at one point.
c)
a line that intersects a circle at exactly one point
d)
point, line, and plane.
72.
Central Angle
a)
two angles that share a vertex, a common side, and their non-common sides form a line.
b)
a polygon that is both equilateral and equiangular
c)
a polygon with ten sides
d)
an angle whose vertex is the center of the circle and sides are radii
73.
Chord
a)
(1) two lines are parallel just because they look parallel - they must be marked using parallel symbols
b)
symbols used to show congruent figures
c)
on the same line
d)
a segment whose endpoints lie on a circle
74.
Regular Polygon
a)
a polygon with equal angles and equal sides
b)
a quadrilateral whose opposite sides are parallel
c)
a polygon with nine sides
d)
circles that are coplanar and share the same center
75.
Congruent Polygons
a)
polygons whose corresponding sides and angles have the same measure
b)
the smallest amount of rotation about a vertex from one ray to the other (between 0º and 180º)
c)
a polygon with twelve sides
d)
In other words,