From the New York State Education Department. The University of the State of New York Regents High School Examination Geometry August 2019. Internet. Available from https://www.nysedregents.org/geometryre/819/geom82019-exam.pdf; accessed 3, May, 2023.
On the set of axes below,
Which statement is always true?
The coordinates of the vertices of parallelogram
The coordinates of the endpoints of
If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is
In the diagram below of
If
What are the coordinates of the center and the length of the radius of the circle whose equation is
In the diagram below of parallelogram
If
What is an equation of a line that is perpendicular to the line whose equation is
Triangles
Which sequence of rigid motions will prove
If the line represented by
Square
Circle
What is the area of the shaded sector of circle
In quadrilateral
A standard-size golf ball was a diameter of
Chelsea is sitting
In the diagram below of right triangle
A countertop for a kitchen is modeled with the dimensions shown below. An
What is the area of the top of the installed countertop, to the nearest square foot?
In the diagram below,
If
In
Which statement must be true?
In right triangle
If
What is the volume, in cubic centimeters, of a right square pyramid with base edges that are 64 cm long and a slant height of 40 cm?
In the diagram below, chords
Which relationship must always be true?
A rhombus is graphed on the set of axes below.
Which transformation would carry the rhombus onto itself?
A
Answer all 7 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided for each question to determine your answer. Note that diagrams are not necessarily drawn to scale. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit.
In parallelogram
What is the measure of angle
An airplane took off at a constant angle of elevation. After the plane traveled for
To the nearest tenth of a degree, what was the angle of elevation?
On the set of axes below,
Describe a sequence of rigid motions that maps
Using the construction below, state the degree measure of
In the diagram below of circle
If
A large water basin is in the shape of a right cylinder. The inside of the basin has a diameter of
Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided for each question to determine your answer. Note that diagrams are not necessarily drawn to scale. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit.
Triangle
[Leave all construction marks]
Is the image of
In the diagram below,
Prove
A cargo trailer, pictured below, can be modeled by a rectangular prism and a triangular prism. Inside the trailer, the rectangular prism measures
If the inside height of the trailer is 6.5 feet, what is the total volume of the inside of the trailer, to the nearest cubic foot?
Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided for the question to determine your answer. Note that diagrams are not necessarily drawn to scale. For the question in this part, a correct numerical answer with no work shown will receive only 1 credit.
The coordinates of the vertices of
Part 1:
Prove that
[The use of the set of axes on the Show Your Work space is optional.]
Part 2:
State the coordinates of point
Part 3:
Prove that your quadrilateral
[The use of the set of axes on the Show Your Work space is optional.]