Preskoči na glavni sadržaj
Prijava
Sign up for FREE
arrow_back
Biblioteka

2023: NY Regents - Geometry

star
star
star
star
star
Posljednje ažuriranje 4 months ago
35

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.

2
G.CO.5
2
G.GMD.4
2
G.CO.10
2
G.SRT.7
2
G.CO.10
2
G.MG.2
2
G.SRT.6
2
G.SRT.5
2
G.CO.11
2
G.GMD.3
2
G.CO.3
2
G.C.2
2
G.GPE.5
2
G.GPE.1
2
G.SRT.5
2
G.CO.10
2
G.C.5
2
G.CO.11
2
G.SRT.1.a
2
G.GMD.3
2
G.CO.10
2
G.SRT.1.a
2
G.C.2
2
G.SRT.3
2
G.CO.12
2
G.CO.5
2
G.SRT.8
2
G.GPE.6
2
G.SRT.5
2
G.GMD.3
2
G.GPE.7
4
G.GMD.3
4
G.SRT.5
4
G.SRT.8
6
G.GPE.4
Pitanje 1
1.

In the diagram below, a line reflection followed by a rotation maps \triangle{ABC} onto \triangle{DEF}.

Which statement is always true?

Pitanje 2
2.

A circle is continuously rotated about its diameter. Which three-dimensional object will be formed?

Pitanje 3
3.

In the diagram below of \triangle{CER}, \overline{LA}\parallel\overline{CR}.

If CL=3.5, LE=7.5, and EA=9.5, what is the length of \overline{AR}, to the nearest tenth?

Pitanje 4
4.

Right triangle ABC is shown below.

Which trigonometric equation is always true for triangle ABC?

Pitanje 5
5.

In the diagram of \triangle{ABC} below, \overline{AE} bisects angle BAC, and altitude \overline{BD} is drawn.

If m\angle{C}=50\degree and m\angle{ABC}=60\degree, m\angle{FEB} is

Pitanje 6
6.

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?

Pitanje 7
7.

In right triangle LMN shown below, m\angle{M}=90\degree, MN=12, and LM=16.

The ratio of \mathrm{cos} N is

Pitanje 8
8.

In \triangle{ABC} below, \overline{DE} is drawn such that D and E are on \overline{AB} and \overline{AC}, respectively.

If \overline{DE}\parallel\overline{BC}, which equation will always be true?

Pitanje 9
9.

Which polygon does not always have congruent diagonals?

Pitanje 10
10.

If the circumference of a standard lacrosse ball is 19.9 cm, what is the volume of this ball, to the nearest cubic centimeter?

Pitanje 11
11.

Which polygon always has a minimum rotation of 180° about its center to carry it onto itself?

Pitanje 12
12.

Circle O is drawn below with secant \overline{BCD}. The length of tangent \overline{AD} is 24.

If the ratio of DC:CB is 4:5, what is the length of \overline{CB}?

Pitanje 13
13.

The equation of a line is 3x-5y=8. All lines perpendicular to this line must have a slope of

Pitanje 14
14.

What are the coordinates of the center and length of the radius of the circle whose equation is x^{2}+y^{2}+2x-16y+49=0?

Pitanje 15
15.

In the diagram below of right triangle MDL, altitude \overline{DG} is drawn to hypotenuse \overline{ML}.

If MG=3 and GL=24, what is the length of \overline{DG}?

Pitanje 16
16.

Segment AB is the perpendicular bisector of \overline{CD} at point M.

Which statement is always true?

Pitanje 17
17.

In the diagram below of circle O, \overline{AC} and \overline{BC} are chords, and m\angle{ACB}=70\degree.

If OA=9, the area of the shaded sector AOB is

Pitanje 18
18.

Quadrilateral BEST has diagonals that intersect at point D. Which statement would not be sufficient to prove quadrilateral BEST is a parallelogram?

Pitanje 19
19.

The equation of line t is 3x-y=6. Line m is the image of line t after a dilation with a scale factor of 1/2 centered at the origin.

What is an equation of line m?

Pitanje 20
20.

A cylindrical pool has a diameter of 16 feet and height of 4 feet.

The pool is filled to 1/2 foot below the top. How much water does the pool contain, to the nearest gallon? [1 ft3 = 7.48 gallons]

Pitanje 21
21.

The area of \triangle{TAP} is 36 cm2. A second triangle, JOE, is formed by connecting the midpoints of each side of \triangle{TAP}. What is the area of \triangle{JOE}, in square centimeters?

Pitanje 22
22.

On the set of axes below, the endpoints of \overline{AB} have coordinates A(-3,4) and B(5,2).

If \overline{AB} is dilated by a scale factor of 2 centered at (3,5), what are the coordinates of the endpoints of its image, \overline{A'B'}?

Pitanje 23
23.

In the circle below, \overline {AD}, \overline{AC}, \overline{BC}, and \overline{DC} are chords, \overleftrightarrow{EDF} is tangent at point D, and \overline{AD}\parallel\overline{BC}.

Which statement is always true?

Pitanje 24
24.

In the diagram below of \triangle{ABC}, D and E are the midpoints of \overline{AB} and \overline{AC}, respectively, and \overline{DE} is drawn.

Which methods could be used to prove \triangle{ABC}\sim\triangle{ADE}?

Pitanje 25
25.

Using a compass and straightedge, construct the angle bisector of \angle{ABC}.

[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.

Pitanje 26
26.

On the set of axes below, \triangle{ABC} and \triangle{DEF} are graphed.

Describe a sequence of rigid motions that would map \triangle{ABC} onto \triangle{DEF}.

Pitanje 27
27.
Pitanje 28
28.

Directed line segment AB has endpoints whose coordinates are A(-2,5) and B(8,-1).

Determine and state the coordinates of P, the point which divides the segment in the ratio 3:2.

[The use of the set of axes in the Show Your Work space is optional.]

Pitanje 29
29.

In \triangle{ABC}, AB=5, AC=12, and m\angle{A}=90\degree. In \triangle{DEF}, m\angle{D}=90\degree, DF=12, and EF=13. Brett claims \triangle{ABC}\cong\triangle{DEF} and \triangle{ABC}\sim\triangle{DEF}.

Is Brett correct? Explain why.

Pitanje 30
30.
Pitanje 31
31.

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 \triangle{ABC}.

Pitanje 32
32.
Pitanje 33
33.

Given: \triangle{AEB} and \triangle{DFC}, \overline{ABCD}, \overline{AE}\parallel\overline{DF}, \overline{EB}\parallel\overline{FC}, \overline{AC}\cong\overline{DB}

Prove: \triangle{EAB}\cong\triangle{FDC}

Pitanje 34
34.
Pitanje 35
35.

Given: Triangle DUC with coordinates D(-3,-1), U(-1,8), and C(8,6)

Part 1:

Prove: \triangle{DUC} is a right triangle

[The use of the set of axes in the Show Your Work space is optional.]

Part 2:

Point U is reflected over \overline{DC} to locate its image point, U', forming quadrilateral DUCU'.

Prove quadrilateral DUCU' is a square.