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01.01 World of Measuring
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01.01 World of M
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Question 1 (Matching Worth 5 points)
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Students
Match the term with the definition.
Technical
Match
Term
Definition
Line
A) an infinite number of points extending
in opposite directions that has only one
dimension
Line Segment
B) part of a line that has one endpoint
and continues in one direction infinitely
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Ray
C) a location, has no dimension
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Point
D) the common endpoint of two
segments or rays that form the “corner”
of an angle
Vertex
E) part of a line that has two endpoints
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1*3*4*5*2*
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Question 2 (Multiple Choice Worth 2 points)
Which is the correct label of the perpendicular lines?
yes
Question 3 (Multiple Choice Worth 3 points)
Which undefined term is needed to define an angle?
Plane
Point
Ray
Line
Question 4 (Essay Worth 5 points)
What is the difference between sketching and drawing geometric figures? Give a realworld example of each.
Question 5 (Essay Worth 5 points)
What is the difference between a postulate and theorem in Geometry?
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02.07 Module Two Review and Practice Exam
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Question 1 (Multiple Choice Worth 2 points)
kmiller272
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02.07 Module Tw
(02.01 LC)
Jason cut a piece of wood in the shape of a triangle. The three angles in the triangle measured less than
90˚.
Which type of triangle has this angle property?
Acute
Isosceles
Equilateral
Right
yes
Question 2 (Multiple Choice Worth 2 points)
(02.01 LC)
Carla drew the triangle shown below.
What is the name of the triangle Carla drew?
Scalene
Isosceles
Equilateral
Equiangular
yes
Question 3 (Multiple Choice Worth 2 points)
(02.01 MC)
Which property is true for ALL isosceles triangles?
They have three congruent angles.
They have one right angle.
They have at least two congruent obtuse angles.
They have at least two congruent acute angles.
yes
Question 4 (Multiple Choice Worth 2 points)
(02.01 MC)
Ridge classified a triangle as an acute isosceles triangle.
Which statement describes an acute isosceles triangle?
At least two sides are of the same length and one angle measures greater than 90˚.
All the sides are of the same length and all the angles measure less than 90˚.
All the sides are of the same length and one angle measures greater than 90˚.
At least two sides are of the same length and all the angles measure less than 90˚.
yes
Question 5 (Multiple Choice Worth 2 points)
(02.01 MC)
Look at the four triangles below.
Which option shows the triangles correctly classified by their sides and by their angle measures?
By Side
By Angle
By Side
By Angle
By Side
By Angle
By Side
By Angle
3 is a scalene triangle because all the sides are of
different lengths.
1, 2, and 3 are obtuse triangles because they have
at least one angle that measures less than 90˚.
2 and 4 are isosceles triangles because each has
two sides of the same length.
1, 2, and 3 are acute triangles because each has
all three angles that measure less than 90˚.
3 is a scalene triangle because all the sides are of
the same length.
1, 2, and 4 are acute triangles because each has
all three angles that measure less than 90˚.
2 and 4 are scalene triangles because each has
two sides of the same length.
All are acute triangles because each has no angle
that measures 90˚.
yes
Question 6 (Multiple Choice Worth 2 points)
(02.02 MC)
Misha wants to construct an isosceles triangle which is not an equilateral triangle using a straightedge
and compass. Which of these steps is part of constructing an isosceles triangle?
constructing arcs above and below the first line segment
constructing a parallel line
constructing a perpendicular line
constructing a 180 degree angle arc
yes
Question 7 (Multiple Choice Worth 2 points)
(02.02 MC)
Bob draws a line segment KL and draws a perpendicular line that intersects KL at M. He places the
compass at M and draws an arc from L to K. He plots point R on the perpendicular line beyond the arc.
What triangle did Bob construct with the points M, L, and R?
A right triangle because the measure of one angle is 90˚.
An obtuse triangle because one angle measures 90˚.
A right isosceles triangle because at least two sides are congruent.
An acute scalene triangle because all angles measure less than 90˚ and all sides are of different
lengths.
yes
Question 8 (Multiple Choice Worth 2 points)
(02.02 MC)
The figure below shows the steps Stefan took to construct a scalene triangle.
Which step in the construction was not required to construct the scalene triangle?
drawing an arc with C as the center
drawing an arc that cuts line segment XY
plotting more than one point on the arc
plotting the point beyond the arc
yes
Question 9 (Multiple Choice Worth 2 points)
(02.02 MC)
The figure below shows a partially completed construction of an acute scalene triangle. Points P and Q
represent two vertices of the triangle.
Where should the point for the third vertex lie?
between O and M and beyond the arc
between Q and M and on the arc
between Q and L and on the arc
between O and L and beyond the arc
yes
Question 10 (Multiple Choice Worth 2 points)
(02.02 MC)
The figure below shows a partially completed construction of triangle LMN.
Which statement is true?
Two angles in the triangle are congruent because the lengths of LN and LM are the same as the
radius of the circle on which they lie.
Two angles in the triangle are congruent because the third angle measures 90˚.
One angle is obtuse because M lies on the perpendicular line.
The length of segment LN and the length of segment LM is the same because both are perpendicular
to each other.
yes
Question 11 (Multiple Choice Worth 2 points)
(02.03 LC)
Point P on the grid represents the position of a camera used by an ecologist to study the behavior of
lions.
The ecologist set up another camera 5 units directly to the left of P. What are the coordinates of the
position of the second camera?
(-3, -1)
(-3, 5)
(-1, -3)
(-1, 2)
yes
Question 12 (Multiple Choice Worth 2 points)
(02.03 MC)
Zac planned the positions and movement of a robot on a coordinate grid. The robot moved along a
straight line from A(4, 8) to B(0, 10), stopping once at the midpoint. What are the coordinates of the
midpoint of the line segment AB at which the robot stopped?
(4, 18)
(2, 9)
(2, 18)
(6, 5)
yes
Question 13 (Multiple Choice Worth 2 points)
(02.03 MC)
Thea used a coordinate grid to plot the positions of two stars. Points P and Q on the grid represent the
positions of the two stars.
What is the shortest distance between the two stars?
145 units
17 units
23 units
20 units
yes
Question 14 (Multiple Choice Worth 2 points)
(02.03 MC)
Points E(8, 14) and F(3, 2) on a coordinate grid represent side EF of triangle EFG. What is the length of
side EF of the triangle?
6 units
4 units
18 units
13 units
yes
Question 15 (Multiple Choice Worth 2 points)
(02.03 MC)
The midpoint of a line segment with end points as (-10, y1) and (-6, 7) is (-8, 6). What is the value of y1?
-15
2
5
-1
yes
Question 16 (Multiple Choice Worth 2 points)
(02.03 LC)
In which figure is point E the centroid of triangle PQR?
yes
Question 17 (Multiple Choice Worth 2 points)
(02.04 MC)
Which statement defines an orthocenter?
It is a point where all three altitudes of a triangle intersect.
It is a point where a median and a side of a triangle intersect.
It is a point where a median and an altitude intersect.
It is a point where all three medians of a triangle intersect.
yes
Question 18 (Multiple Choice Worth 2 points)
(02.04 MC)
Which is the centroid of triangle KLM?
Point A, because it is the point of intersection of the medians of the triangle.
Point A, because it is the point of intersection of segments from the vertices that are of the same
length.
Point B, because it is the point of intersection of any two altitudes and a median of the triangle.
Point B, because it lies outside the triangle.
yes
Question 19 (Multiple Choice Worth 2 points)
(02.04 MC)
Look at triangle PQR in which N is the centroid and M is the orthocenter.
Which segment must be 3 inches?
Segment SQ
Segment NT
Segment PM
Segment RT
yes
Question 20 (Multiple Choice Worth 2 points)
(02.04 MC)
Which statement shows a difference between medians and altitudes of all triangles?
An altitude connects the vertex of the triangle to the opposite side dividing the side into equal
segments but a median does not.
A median divides the vertex of the triangle into two angles of equal measure but an altitude does not.
An altitude divides the area of a triangle in equal parts but a median divides it into two parts in which
the area of one part is twice the area of the other.
A median lies inside a triangle but an altitude can lie outside the triangle.
yes
Question 21 (Multiple Choice Worth 2 points)
(02.05 LC)
In which figure is the perpendicular bisector of the acute triangle, triangle KLM shown?
yes
Question 22 (Multiple Choice Worth 2 points)
(02.05 LC)
The figure below shows triangle PQR with a circumscribed circle of radius 7 inches.
Which segment must measure 7 inches?
The angle bisectors
The perpendicular bisectors
Segment RO
Segment RQ
yes
Question 23 (Multiple Choice Worth 2 points)
(02.05 MC)
Look at triangle PQR.
D
Segment PX is an angle bisector. Which statement must be true?
Length of segment XQ = 3 inches
Measure of angle XPQ = 20˚
Length of segment XQ = 4 inches
Measure of angle PXQ = 90˚
yes
Question 24 (Multiple Choice Worth 2 points)
(02.05 MC)
John completed constructing triangle XYZ as shown and stated that segment OU is an angle bisector.
Is John correct?
He cannot be correct because OU bisects YZ in two congruent parts.
He cannot be correct because OU does not bisect XZ into congruent parts.
He is not correct because OU does not bisect any angle.
He is correct because OU is perpendicular to the side ZY.
yes
Question 25 (Multiple Choice Worth 2 points)
(02.05 MC)
Laura said that the circumcenter of all triangles lies either outside or on a triangle.
Which figure disproves Laura’s statement?