WorksheetsModule 1 Vocabulary
Total questions: 57
Worksheet time: 34mins
To ____ a figure is when you create a figure without tools
sketch
draw
construct
To ____ a figure is when you create a figure using tools such as a ruler or protractor
sketch
draw
create
A mathematical statement that appears to be true is a
conjecture
saying
postulate
To ____ a figure is to create exact figures without measurements (using paper folding or a compass and a straightedge and geometric reasoning)
sketch
draw
create
construct
____ are lines or line segments added to a diagram to help in solving or proving a concept
auxiliary lines
straight lines
perpendicular lines
parallel lines
What tool is used to create arcs and circles?
(a)
What is a ruler with no numbers?
(a)
A ____ has no dimension and is usually represented by a small dot.
point
angle
right angle
space
A (a) is made up of an infinite number of points that extend infinitely in two opposite directions
A _____ is a portion of a line that includes two points and all of the collinear points
line segment
line
angle
ray
What is exactly halfway between two given points?
midpoint
middle
median
What is a line, line segment, or ray that divides a line segment into two congruent line segments?
perpendicular bisector
segment bisector
midpoint
median
What is a line, line segment, or ray that intersects the midpoint of a line segment at a 90° angle?
perpendicular bisector
segment bisector
midpoint
median
A ____ is a line segment joining two vertices of a polygon but is not a side of the polygon.
diagonal
side
midpoint
middle
A (a) is an operation that maps, or moves, a figure, called the preimage, to form a new figure called the image
CHECK ALL THAT APPLY
Which of the following are rigid motion?
translation
dilation
reflection
rotation
A (a) is a rigid motion that “slides” a figure up, down, left, or right
A (a) is a rigid motion that “spins” a figure about a point
A (a) a rigid motion that “flips” a figure across a line.
(x2−x1)2+(y2−y2)2 is the
distance formula
midpoint formula
slope formula
(2x1+x2,2y1+y2) is the
distance formula
midpoint formula
slope formula
What is a figure that is formed by combining different shapes?
composite figure
multiple shapes
this does not exist
What is NP?
a chord
a central angle
a secant line
What is line AB?
a secant line
a tangent line
a chord
Check ALL that are central angles
angle ERU
angle KOU
angle ZOU
angle ZOM
and ZKU
Check ALL that are inscribed angles
angle ERU
angle RUK
angle ZOU
angle ZOM
and ZKU
Arc HI is a
major arc
minor arc
semicircle
Arc NPQ is a
major arc
minor arc
semicircle
Arc JML is a
major arc
minor arc
semicircle
What angle is shown in the picture?
circumscribed angle
inscribed angle
central angle
The part of the circle in red is an
intercepted arc
circumscribed angle
inscribed angle
A theorem is
a statement that can be proven true using definitions
a mathematical statement that is not proven but is considered true
a conjecture
A postulate is
a statement that can be proven true using definitions
a mathematical statement that is not proven but is considered true
a conjecture
What does the blue line represent?
secant line
tangent line
chord
Two line segments are _____ if they lie exactly on top of each other.
coincident
different
undefined
CHECK ALL THAT APPLY:
Which of the following are properties of cyclic quadrilaterals?
opposite angles sum to 180 degrees
it's an inscribed quadrilateral
opposite angles are congruent
only 1 of the vertices must lie on the circle
Is the following statement a biconditional statement?
If it is raining, then there are clouds in the sky.
yes
no
What is the converse of:
If I study, then I'll get a good grade
If I get a good grade, then I studied
If I don't study, then I won't get a good grade
If I don't get a good grade, then I didn't study
Which part of a statement is the hypothesis?
if
then
Which part of a statement is the conclusion?
if
then
An exterior angle is an angle that
forms a linear pair with an interior angle of the polygon
is complementary to the interior angle
is acute
The __________ of a triangle are the two angles that are not adjacent to the specified exterior angle.
remote interior angles
exterior angles
congruent angles
A kite is a quadrilateral with ___ pair(s) of equal adjacent sides
no
1
2
Does the picture show an inscribed polygon?
yes
no
The midsegment of a polygon is
any line segment that connects two midpoints of the sides of the polygon.
a line segment that connects two vertices
a line that passes through the midpoint of a side
A point of concurrency is the point at which ____ or more lines intersect.
1
2
3
The _____ is located where three perpendicular bisectors intersect
circumcenter
orthocenter
incenter
centroid
The _____ is located where three angle bisectors intersect
circumcenter
orthocenter
incenter
centroid
The _____ is located where three medians intersect
circumcenter
orthocenter
incenter
centroid
The _____ is located where three altitudes intersect
circumcenter
orthocenter
incenter
centroid
Points that lie along the same line are
(a)
A rotation angle is
a directed angle based on a circle
the distance of an arc
the central angle
Does an isometry preserve distances and angle measures?
yes
no
A ______ is a series of statements and corresponding reasons forming a valid argument that starts with a hypothesis and arrives at a conclusion.
proof
conjecture
conditional statement
conjecture
Which theorem states "“Any point on the perpendicular bisector of a segment is equidistant from the endpoints of that segment"?
The Perpendicular Bisector Theorem
Parallel/Perpendicular Line Theorem
Corresponding Angles Theorem
Triangle Midesegment Theorem
Does the figure shown have rotational symmetry?
yes
no
Does the figure shown have reflectional symmetry?
yes
no
