From the New York State Education Department. The University of the State of New York Regents High School Examination Geometry January 2023. Internet. Available from https://www.nysedregents.org/geometryre/123/geom12023-exam.pdf; accessed 3, May, 2023.
In the diagram below, a line reflection followed by a rotation maps
Which statement is always true?
A circle is continuously rotated about its diameter. Which three-dimensional object will be formed?
In the diagram below of
If
Right triangle
Which trigonometric equation is always true for triangle
In the diagram of
If
A jewelry company makes copper heart pendants. Each heart uses 0.75 in3 of copper and there is 0.323 pound of copper per cubic inch. If copper costs $3.68 per pound, what is the total cost for 24 copper hearts?
In right triangle
The ratio of
In
If
Which polygon does not always have congruent diagonals?
If the circumference of a standard lacrosse ball is 19.9 cm, what is the volume of this ball, to the nearest cubic centimeter?
Which polygon always has a minimum rotation of 180° about its center to carry it onto itself?
Circle
If the ratio of
The equation of a line is
What are the coordinates of the center and length of the radius of the circle whose equation is
In the diagram below of right triangle
If
Segment
Which statement is always true?
In the diagram below of circle
If
Quadrilateral
The equation of line
What is an equation of line
A cylindrical pool has a diameter of 16 feet and height of 4 feet.
The pool is filled to
The area of
On the set of axes below, the endpoints of
If
In the circle below,
Which statement is always true?
In the diagram below of
Which methods could be used to prove
Using a compass and straightedge, construct the angle bisector of
[Leave all construction marks.]
Utilize the embedded tool above and take a screenshot/picture of your finished work. Upload that image as your answer in the Show Your Work space.
On the set of axes below,
Describe a sequence of rigid motions that would map
As shown in the diagram below, a symmetrical roof frame rises 4 feet above a house and has a width of 24 feet.
Determine and state, to the nearest degree, the angle of elevation of the roof frame.
Angle of elevation is
Directed line segment
Determine and state the coordinates of
[The use of the set of axes in the Show Your Work space is optional.]
In
Is Brett correct? Explain why.
The volume of a triangular prism is 70 in3. The base of the prism is a right triangle with one leg whose measure is 5 inches. If the height of the prism is 4 inches, determine and state the length, in inches, of the other leg of the triangle.
Triangle ABC with coordinates A(-2,5), B(4,2), and C(-8,-1) is graphed on the set of axes below.
Determine and state the area of
Sally and Mary both get ice cream from an ice cream truck. Sally's ice cream is served as a cylinder with a diameter of 4 cm and a total height of 8 cm. Mary's ice cream is served as a cone with a diameter of 7 cm and a total height of 12.5 cm. Assume that ice cream fills Sally's cylinder and Mary's cone.
Who was served more ice cream, Sally or Mary?
Justify your answer:
Determine and state how much more is served in the larger ice cream than the smaller ice cream, to the nearest cubic centimeter:
Given:
Prove:
Barry wants to find the height of a tree that is modeled in the diagram below, where
Barry claims that
Determine and state, to the nearest foot, the height of the tree:
Given: Triangle
Part 1:
Prove:
[The use of the set of axes in the Show Your Work space is optional.]
Part 2:
Point
Prove quadrilateral