Mixed CC Geometry Practice for Regents 2016
Name:
te each of the following problems. Solutions should show all original
In the figure below. PR and SR are tangentto cirde O.
1)
If OT =
cm and PR = 60 cm, what the
61 cm
s
50 cm
C
48 cm
-Ècso
S tse appeoxùn.aee
2)
of
thee.gram bewa?
Solve
30: Ito
100 cm
SO cm
600
A
292
26S
C
219 cm
figure?
always produce a congruent
•ch transformation will
3)
0
35
An isosceles right triangle is placed on
the
a wordinate grid. One of its legs is onthe
describes the shape created when
x-axis and the other on the y-axis. Which
x-axis?
triangle is rotated about the
cone
cylinder
B
C
pyramid
D
sphere
(19/0)
cit
ap is placed on a coordinate grid. The post office is located at the point
P(S, 35), the library is located at the point 1-(15,10), and the fire station is located
thofLF?
ratio of he len th of PF
at the point F 9 25 . What is
co
c
(o
In the figure below, a pole has two wires attached to It, one on each side, forming
two right triangles.
6)
380
Wire
Wire 2
30
410
Based on the given information,
estions below.
How tall is the pole?
How far from tne vase
How long is Wire 1?
7. If
2) wx
4)
e does Wire 2 attach to the ground?
A VWX and PM is the shortest side of ANNP, what is the shortest side of AVWX?
B
8. In circle O shown in the diagram below, chords
AB and CD are paralle
o
= 104 and mCD= 168, what is mBD?
1) 38
c
2) 44
3) 88
-3(QO
4) 96
9. As shown in the diagram below, CD is a median of AABC.
c
Which statement is always true?
1) AD=DB
2) AC=AD
3) ZACD= ZCDB
BCD = ZACD
10. In the diagram below, under which transformation is AA'B tC' the image of "BC?
2)
4) (x,y)
(x—2,y)
11. Line segment AB is a diameter of circle O whose center has coordinates (6,S). What are the coordinates of point
B if the coordinates of point A are (4,2)?
1) (1,3)
2) (5,5)
(8,14)
4) (10, 10)
12. In the diagram below of right triangle ABC, altitude CD is drawn to hypotenuse AB.
If AD = 3 and DB = 12, what is the length of altitude CD?
1)
c
3.6
6
2)
12
3) 3
B
13. The diagram below shows the construction of an equilateral triangle.
Which statement justifies this construction?
1) ZA+ZB+ZC=180
2) mZA = mZB = mZC
BC
4) AB+ BC>AC
Sid-L
the line
14. What is the slope of the line perpendicular to
representedby the equation
1) -2
2) 2
3)
4)
-LK-t
1
1
2
+ 4y = 12?
MONDAY
TUESDAY
DNESDAY
15. The diagram below shows AABD, with ABC, BE -L "D, and
ZEBD = ZCBD.
If rnZABE= 52, what is tnZD?
D
cbd
2) 38
3) 52
90
cDQ(o
4) 64
6
16. The equation of a circle is (x—
length of its radius?
2 = 32. What are the coordinates of the center of this circle and the
1) (-2,5) and 16
2) (2,-5) and 16
3) (-2,5) and4Jî
-uroc]lcö
4—0, -5) and4 dî
that i perpendicul
17. The equation of a line is y = -jX+ 5. What is an equ •o
S
that passes through the point (4, 2)?
2
1)
3
2)
3)
4)
below,AB
18. In the diagram of trapezoid ABCD
What is mZD?
Il DC, AD
BC, rnZ,4 = 4x+20, and mZC= 3x—15.
B
1) 25
2) 35
(3x-15)'
60
4
90
o the given line and
c
point L.
19. In circle R shown below, diameter DE is perpendicularto chord ST at
Which statement is not always true?
2) RS=DR
s
20. Which equation represents circle A shown in the diagram below?
2)
(x +4) 2 + (y +
= 3
4)
(x +4)2 + (y+
= 9
21. In the diagram below of circle O, PAC and PBD are secants.
c
If mCD = 70 and mAB = 20, what is the degree measure of ZP?
1) 25
2) 35
3) 45
4) 50
no-ao
•o
22. The measure of an interior angle of a regular polygo is 120'.
ow many sides does the polygon have?
-- IŸO-IXO
2)
360
23. As shown in the diagram of rectangle ABCD below, diagonals AC and BD intersect at E.
If AE = x +2 and BD= 4x— 16, then the length of AC is
C
-HR-IC
2) 10
3) 12
4) 24
24. If the vertices of AABC are
B(—2,8),and C(—5,6),then AABCis classified as
cÅRß
tight
2) scalene
-s--RS
3) isosceles
4) equilateral
27. After the transformation r
value of x.
the image of AABCis AA'B'C'.
andA 'B
find the
26. In the diagram below, describe a sequence of transformations that Will map ircle ont
Circle A
so
c
27. Using a com s an
construction marks.)
e li
endicular bisect of
28. Write an equation of the line that is the
(3, 5). (The use of the grid below is optional)
3-3
o
xo-a
z
o (
-R 90
MosÝ
gment having endpoints (3,—1)and
29. Triangle ABC has vertices
B(1,4) and CO, l). State and label the
coordinatesof the vertices of
AA" B" C", the image of AABC,
following the composite transformation Tl._i • Da.
(The use of the set of axes
below is optional.)
c(lll)—'
32. In AABC,
)
"BC.
= x 2 + 12, mZB= 111+ 5, and mZC= 13x —17. Determine the longest side of
au{R-lÇo
Ò
33. In standard form, the equation of a circle is
radius form.
x 2 + Y 2 —4x + 6y—3 — 0. Write th equa
PIC I
34. Find the shortest distance from the point
the line w ose equation is given by 4y + 3x = 9 .
-COO -q
35. Find
angle in the diagram below:
36
1440
560
ILHo