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Geometry Regents Review #3
Date Due:
Directions:
Answer ALL questions. Show ALL work in column 2.
If there is no mathematical work to be shown, write an explanation or definition to
support your answer! This counts as a quiz grade!!! (40 pts.)
1.
Show work!!!!
2.
Sketch the graph!!!!
Show work!!!!
3.
4.
Show work!!!!
5. The center of a circular sunflower with a diameter
of 4 centimeters is (-2,1). Which equation represents
the sunflower?
Show work!!!!
1. (x - 2)2 + (y + 1)2 = 2
3. (x - 2)2 + (y - 1)2 = 4
2. (x + 2)2 + (y - 1)2 = 4
4. (x + 2)2 + (y - 1)2 = 2
6. Points M and N lie on line l. Line k is parallel to line
l. The total number of points equidistant from point
M and N and also equidistant from lines k and l is
1. 1
2. 2
3. 3
4. 4
5. 0
7. Which point is on the circle whose equation is
x2 + y2 = 289?
Draw a picture!!!!
Show work!!!!
1. (-12,12)
2. (7,-10)
3. (-1,-16)
4. (8,-15)
8.
Show work!!!!
9. Point Z is the centroid of triangle ABC, ZF = 5,
AD = 12 and BC = 18. What is the perimeter of
triangle DCZ?
Show work!!!!
Perimeter of triangle DCZ =_______
10. The diagonals of a rhombus have lengths of 12
centimeters and 16 centimeters. What is the length of
one side of the rhombus?
1.
2.
3.
4.
6 centimeters
10 centimeters
13 centimeters
20 centimeters
Show work!!!!
11. .
Show work!!!!
12.
Show Work!!!
13. The distance between parallel lines and m is 12 units.
Show Work!!!
Point A is on line . How many points are equidistant
from lines and m and 8 units from point A.
1) 1
2) 2
3) 3
4) 4
14. In the accompanying diagram, triangle A is
similar to triangle B. Find the value of n.
Show work!!!!
15.
Show work!!!!
16. The vertices of rectangle ABCD are A(-1,0), B(2,0),
C(s, t), and D(-1,4). How long is diagonal AC?
Show work!!!!
2
3
4
5
17. Phil is cutting a triangular piece of tile. If the
triangle is scalene, which set of numbers could
represent the lengths of the sides?
1)
2)
3)
4)
18. The ratio of the corresponding sides of two similar
squares is 1 to 3. What is the ratio of the area of
the smaller square to the area of the larger
square?
Write an explanation!!!!
Show work!!!!
1)
2)
3)
4)
19.
Show work!!!!
20. In the coordinate plane, what is the total number
of points 5 units from the origin and equidistant from
both the x- and y-axes?
Show Work!!
1)
2)
3)
4)
1
2
0
4