End of Semester Test: Geometry B
Plato/Edmentum Latest Update 2026 | Exam
Prep | 100% Accurate Answers
Rounded to the nearest tenth, what is the perimeter of the triangle? (30,60,90
hypotenuse = 5cm) - correct Answers11.8 centimeters
What is the value of x in the triangle? - correct Answers3
First, drag a value to represent the missing angle in the triangle. Then, complete the
trigonometry equality statements. - correct Answersmissing angle = 90 - theta
sin 28 = cos 62
cos 33 = sin 57
cos 31 = sin 59
cosine 90 - theta = sin(theta)
On a football field, the left and right tackles are lined up on the same yard line. A
linebacker is 15 yards away from that yard line. The angles of the lines of sight of the
tackles to the linebacker that are made with the yard line are shown in the diagram.
Approximately how far apart are the left and right tackles? - correct Answers39.3 yards
An airplane departs airport A at a heading of 300∘ (N 60∘W). After traveling 320 miles,
the airplane adjusts its course to 350∘ (N 10∘W) and flies an additional 112 miles to
reach airport B. - correct Answers401 miles
Triangle XYZ has an altitude as shown. Eric and Maggie are both trying to prove the law
of sines. - correct Answerscorrectly started by both Eric and Maggie
set the right side of the equation equal
transitive property of equality
In the diagram, point M is the center of the circle. If m∠PMN = 134°, what is m∠PON? -
correct Answers67
In the given figure, what is the measure of angle CPE? - correct Answers[X] 68
The length of an arc of a circle is 7.34 units, and the measure of the corresponding
central angle is 81°. What is the approximate length of the radius of the circle? - correct
Answers5.19 units
Circle O has radius of 24 units. Arc XY located on the circle has a central angle of 75∘.
What is the area of the associated sector, in square units? - correct Answers120pi
Jenna attempted to construct equilateral triangle EFG inscribed in circle C.
,First, she used a compass to draw circle C and labeled its center. Next, she used a
straightedge to draw a diameter of the circle. She labeled the endpoints of the diameter
D and E. Then, keeping the compass set equal to the radius of circle C, she drew an arc
centered at point E, which intersected the circle at two points that she labeled F and G.
Finally, she used a straightedge to draw three chords connecting points E, F, and G.
What was the first error Jenna made in her construction? - correct AnswersWhen Jenna
drew the arc that intersected circle C, she should have used point D as the center of the
arc.
In her notebook, Pia wrote these steps to construct a square inscribed in a circle:
Use a compass and a straightedge to find chord LM, which is the perpendicular bisector
of JK. Then, use a straightedge to draw the four chords that make up the square: JL,
LK, KM, and MJ.
Which instruction is Pia missing? - correct AnswersDraw any diameter on a circle and
label it JK.
In ABC, the angle bisectors meet at point D. Point E is on , and is perpendicular to .
Point F is the location where the perpendicular bisectors of the sides of the triangle
meet. What is the radius of the largest circle that can fit inside ABC? - correct
Answers[X] AD
A quadrilateral is inscribed in circle O. The angle measures of the quadrilateral, in
degrees, are given by the expressions shown in the figure. - correct Answers[X] 75
A circle is defined by the equation given below.
�2 + �2 − � − 2� − 114 = 0
What are the coordinates for the center of the circle and the length of the radius? -
correct Answers(/2, 1) 2 units
Which equation represents circle N? - correct Answers(x + 7)2 + (y − 6)2 = 50
What is the equation of the parabola shown with its focus on this graph? - correct
Answersy = -1/12x^2 + 1
Given the focus and directrix shown on the graph, what is the vertex form of the
equation of the parabola? - correct Answersx = 1/10(y-3)^2 - 3/2
An instrument maker creates a triangle in the shape of an isosceles triangle by bending
a metal rod. The rod is 13 inches long, and the bottom of the triangle is longer than the
two sides. What is the length of the longest side? - correct Answerslongest side is 5
inches
other two sides will each be 4 inches
A developer buys an empty lot to build a small house. What is the area of the lot? -
correct Answers193 yd
, A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate
radius of a sphere that has the same surface area as the cylinder? - correct Answers2.0
m
How can the surface area of the onion be approximated? - correct Answersmodeled by
a sphere
38.5 inches
An image of a castle is shown. The height of the tower on the right is 80 ft. The diameter
of this tower is 20 ft. The building attached to the tower has a length of 200 feet, width of
40 feet, and height of 60 feet.
First, determine which shapes best model these two sections of the castle. Then,
determine the approximate surface area of the stone part of the castle given the
provided dimensions. - correct Answersleft = rectangular prism
right = cylinder
[X] surface area = 5027 ft
A composite figure is shown. What is the surface area for each part of the figure? What
is the total surface area of the figure? - correct Answers60
480
180
720
If the given figure is sliced through points J, K, and L, which best describes the shape of
the resulting cross-section? - correct Answerstrapezoid
The circle is rotated around the horizontal dashed line. Which type of geometrical figure
will be generated? - correct Answerssphere
To make cream ice pops, Nina uses conical molds that each have a height of 15 cm
and a radius of 2 cm. How much ice pop mixture can each mold hold when full? -
correct Answers20pi cubic cm
Consider the two cylinders. - correct Answers[X] The volumes of these two cylinders are
not equal
If another cross section is taken at a different height, the areas of the cross sections will
always be equal.
A new company uses cylindrical gas tanks to deliver propane gas. As their orders
increase, they switch to new gas tanks with triple the height and triple the radius of the
original tanks. What will be the effect of the scaled dimensions on the volume of the
tanks? - correct Answers[X] The volume of the new tanks will be 3 times the volume of
the original tanks.
The perimeter of base DHGC is 30 inches, and the perimeter of base SWVR is 20
inches. Complete the table with the ratios of the heights, surface areas, and volumes of
Plato/Edmentum Latest Update 2026 | Exam
Prep | 100% Accurate Answers
Rounded to the nearest tenth, what is the perimeter of the triangle? (30,60,90
hypotenuse = 5cm) - correct Answers11.8 centimeters
What is the value of x in the triangle? - correct Answers3
First, drag a value to represent the missing angle in the triangle. Then, complete the
trigonometry equality statements. - correct Answersmissing angle = 90 - theta
sin 28 = cos 62
cos 33 = sin 57
cos 31 = sin 59
cosine 90 - theta = sin(theta)
On a football field, the left and right tackles are lined up on the same yard line. A
linebacker is 15 yards away from that yard line. The angles of the lines of sight of the
tackles to the linebacker that are made with the yard line are shown in the diagram.
Approximately how far apart are the left and right tackles? - correct Answers39.3 yards
An airplane departs airport A at a heading of 300∘ (N 60∘W). After traveling 320 miles,
the airplane adjusts its course to 350∘ (N 10∘W) and flies an additional 112 miles to
reach airport B. - correct Answers401 miles
Triangle XYZ has an altitude as shown. Eric and Maggie are both trying to prove the law
of sines. - correct Answerscorrectly started by both Eric and Maggie
set the right side of the equation equal
transitive property of equality
In the diagram, point M is the center of the circle. If m∠PMN = 134°, what is m∠PON? -
correct Answers67
In the given figure, what is the measure of angle CPE? - correct Answers[X] 68
The length of an arc of a circle is 7.34 units, and the measure of the corresponding
central angle is 81°. What is the approximate length of the radius of the circle? - correct
Answers5.19 units
Circle O has radius of 24 units. Arc XY located on the circle has a central angle of 75∘.
What is the area of the associated sector, in square units? - correct Answers120pi
Jenna attempted to construct equilateral triangle EFG inscribed in circle C.
,First, she used a compass to draw circle C and labeled its center. Next, she used a
straightedge to draw a diameter of the circle. She labeled the endpoints of the diameter
D and E. Then, keeping the compass set equal to the radius of circle C, she drew an arc
centered at point E, which intersected the circle at two points that she labeled F and G.
Finally, she used a straightedge to draw three chords connecting points E, F, and G.
What was the first error Jenna made in her construction? - correct AnswersWhen Jenna
drew the arc that intersected circle C, she should have used point D as the center of the
arc.
In her notebook, Pia wrote these steps to construct a square inscribed in a circle:
Use a compass and a straightedge to find chord LM, which is the perpendicular bisector
of JK. Then, use a straightedge to draw the four chords that make up the square: JL,
LK, KM, and MJ.
Which instruction is Pia missing? - correct AnswersDraw any diameter on a circle and
label it JK.
In ABC, the angle bisectors meet at point D. Point E is on , and is perpendicular to .
Point F is the location where the perpendicular bisectors of the sides of the triangle
meet. What is the radius of the largest circle that can fit inside ABC? - correct
Answers[X] AD
A quadrilateral is inscribed in circle O. The angle measures of the quadrilateral, in
degrees, are given by the expressions shown in the figure. - correct Answers[X] 75
A circle is defined by the equation given below.
�2 + �2 − � − 2� − 114 = 0
What are the coordinates for the center of the circle and the length of the radius? -
correct Answers(/2, 1) 2 units
Which equation represents circle N? - correct Answers(x + 7)2 + (y − 6)2 = 50
What is the equation of the parabola shown with its focus on this graph? - correct
Answersy = -1/12x^2 + 1
Given the focus and directrix shown on the graph, what is the vertex form of the
equation of the parabola? - correct Answersx = 1/10(y-3)^2 - 3/2
An instrument maker creates a triangle in the shape of an isosceles triangle by bending
a metal rod. The rod is 13 inches long, and the bottom of the triangle is longer than the
two sides. What is the length of the longest side? - correct Answerslongest side is 5
inches
other two sides will each be 4 inches
A developer buys an empty lot to build a small house. What is the area of the lot? -
correct Answers193 yd
, A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate
radius of a sphere that has the same surface area as the cylinder? - correct Answers2.0
m
How can the surface area of the onion be approximated? - correct Answersmodeled by
a sphere
38.5 inches
An image of a castle is shown. The height of the tower on the right is 80 ft. The diameter
of this tower is 20 ft. The building attached to the tower has a length of 200 feet, width of
40 feet, and height of 60 feet.
First, determine which shapes best model these two sections of the castle. Then,
determine the approximate surface area of the stone part of the castle given the
provided dimensions. - correct Answersleft = rectangular prism
right = cylinder
[X] surface area = 5027 ft
A composite figure is shown. What is the surface area for each part of the figure? What
is the total surface area of the figure? - correct Answers60
480
180
720
If the given figure is sliced through points J, K, and L, which best describes the shape of
the resulting cross-section? - correct Answerstrapezoid
The circle is rotated around the horizontal dashed line. Which type of geometrical figure
will be generated? - correct Answerssphere
To make cream ice pops, Nina uses conical molds that each have a height of 15 cm
and a radius of 2 cm. How much ice pop mixture can each mold hold when full? -
correct Answers20pi cubic cm
Consider the two cylinders. - correct Answers[X] The volumes of these two cylinders are
not equal
If another cross section is taken at a different height, the areas of the cross sections will
always be equal.
A new company uses cylindrical gas tanks to deliver propane gas. As their orders
increase, they switch to new gas tanks with triple the height and triple the radius of the
original tanks. What will be the effect of the scaled dimensions on the volume of the
tanks? - correct Answers[X] The volume of the new tanks will be 3 times the volume of
the original tanks.
The perimeter of base DHGC is 30 inches, and the perimeter of base SWVR is 20
inches. Complete the table with the ratios of the heights, surface areas, and volumes of
