Download Geometry Standards

Geometry Standards
1. (MM1G1) Find the distance between the points A 3, 5  and B 7,6  ?
a. 14.87
b. 4.12
c. 15.26
d. 4.58
2. (MM1G1) If the center of town is located at the origin of the city grid and the county
ballpark is 8 miles north of the center of town with the high school located 6 miles east of
the center of town, what is the straight-line distance from the ballpark to the high school?
a. 10 miles
b. 100 miles
c. 5.29 miles
d. 3.74 miles
3. (MM1G1c) Given line segment MN with coordinates of M 3,2 and N 5,6  , find the
coordinate of the midpoint of MN .
a. 1,4 
b. 4, 2 
c. 8, 4 
d. 2, 8 
4. (MM1G1c) Line segment RS has endpoint R 11,2 with midpoint M 7, 3 . What is the
coordinate of the other endpoint S ?
a. 3,8 
b. 9, 0.5 
c. 4,5 
d. 4, 5 
5. (MM1G1d) A 25-foot ladder is leaning against a building. The base of ladder is 12 -feet
from the bottom of the building. Approximately how high up the side of the building does
the ladder reach?
a. 22 feet
b. 28 feet
c. 13 feet
d. 37 feet
6. (MM1G2a) If David goes to the mall, then his brother will go to the movies. David’s
brother did not go to the movies. Assuming these two statements are true, what
conclusion can be drawn?
a. David did not go to the mall.
b. David went to the mall.
c. David went to the movies.
d. David did not go to the movies.
7. (MM1G2b) If x 2  9 , then x must equal 3. Which of the following is a counter example to
show this statement is false?
a. x  3
b. x  81
c. x  4.5
d. x  18
8. (MM1G1e) Quadrilateral ABCD is plotted on a coordinate grid with coordinates A 3, 4 ,
B 2,1, C 7,4  and D 2,6  . What shape best describes quadrilateral ABCD ?
a. Rhombus
b. Kite
c. Trapezoid
d. Parallelogram
9. Given the following statement, “If two angles are complementary, then the sum of the
measures of the two angles is 90o ”, state the contrapositive:
a. If the sum of the measures of two angles is not 90o , then the two angles are not
complementary.
b. If two angles are not complementary, then the sum of the two angles is not 90o .
c. If the sum of the measures of two angles is 90o , then the two angles are
complementary.
d. If two angles are complementary, then the sum of the measures is 90o .
10. The pentagon has the angle measures shown.
What is the mx?
a. 120
b. 60
c. 130
d. 70
11. (MM1G3a) What type of regular polygon has the measure of each exterior angle of 72 o ?
a. Pentagon
b. Octagon
c. Hexagon
d. Quadrilateral
12. (MM1G3b) A triangle has side lengths of 12 cm and 19 cm. Between which two values
could the length the third side occur?
a. 7 cm to 31 cm
b. 12 cm to 19 cm
c. 7 to cm to 14 cm
d. 0 cm to 31 cm
13. (MM1G3b) Find the value of x in the following drawing.
a. 48
b. 194
c. 59
d. 73
14. (MMiG3c) Which theorem proves the triangles are congruent?
a. SAS
b. ASA
c. AAS
d. SSS
15. (MM1G3c) Which set of relationships is sufficient to prove that the triangles in this figure
are congruent?
a. PR  SU, PQ  ST , Q  U
b. PQ  PR, ST  SU, RQ  TU
c. RQ  TU, R  U, P  S
d. P  S, R  U, Q  U
16. (MM1G3d) A parallelogram with all sides congruent would most likely be described as
which type of figure?
a. Rhombus
b. Square
c. Rectangle
d. Kite
17. (MM1G3d) There are five points in a plane, but not three points are collinear. How many
different straight lines that pass through two of the five points are possible?
a. 2
b. 10
c. 15
d. 20
18. Which of the following proves that quadrilateral GHJK is a parallelogram?
a. G is supplementary to H
and K
b. J is complementary to G
c. GH  HJ and
d. GH  HJ  JK  KG
19. (MM1G3e) This diagram shows isosceles trapezoid QRST . What is the length, in units,
of QS ?
a. 2
b. 6
c. 7
d. 9
20. (MM2G4a) What is the volume of a sphere with diameter 30 cm?
a. 14,137.17 cm 3
b. 113,097.34 cm 3
c. 2827.43 cm 3
d. 376.99 cm 3
21. (MM2G4a) A basketball has a radius of 5 inches. What is the surface area of the ball?
a. 100 in 2
b. 40 in 2
500 2
c.
in
3
d. 25 in 2
22. (MM2G4b) A sphere has a surface area of 36 in 2 . What is the volume?
a. 36 in 3
b. 288 in 3
c. 9 in 3
d. 6 in 3
23. (MM2G4b) What is true about the volumes of the spheres?
a.
b.
c.
d.
24
The volume of circle 2 is eight times as large as the volume of circle 1.
The volume of circle 1 is eight times as large as the volume of circle 2.
The volume of circle 2 is twice times as large as the volume of circle 1.
The volume of circle 2 is four times as large as the volume of circle 1.
MM2G1a. What is the length of side CB ?
a. 5
b. 5 3
c. 10 3

d. 5 2

25 MM2G1a&b. Which expression represents the length the side labeled q?

20 3
a.
3
10 3
b.
3
c.
10

d. 10 2

26 MM2G1b. A 45-45-90 triangle has a leg that measures 4 in. What is the length of the
 hypotenuse?

a.
b.
c.
d.
4 2 in
8 in
16 in
4 3 in
27 MM2G2c. Find the value of x.

a. 3.41
b. 3.66
c. 4.66
d. 2.5
MM2G2c. What is the tangent of R?
4
a.
3
3
b.
4
5
c.

4
4
d.

5
28


29 MM3G1a. Given a circle with center at (2, -3) and radius 6. What is the equation?
a. (x – 2)2 + (y + 3)2 = 36
b. (x + 2)2 + (y – 3)2 = 36
c. (x – 2)2 + (y + 3)2 = 12
d. (x + 2)2 + (y – 3)2 = 12
30
MM3G1a. A circle has center at (-4, 0) and a point on the circle at (-3, 3). Write the
equation of the circle.
a. (x + 4)2 + y2 = 10
b. (x – 4)2 + y2 = 100
c. (x + 4)2 + y2 = 100
d. (x – 4)2 + y2 = 10
31
MM2G3b An inscribed angle measures . What is the measure of its intercepted arc?
a. 148
b. 74
c. 37
d. 106
32
MM2G3b. The measure of arc AC is and the measure of angle A is 45 Find the
measure of arc AB.
a.
b.
c.
d.
33
34
130
65
90
230
MM2G3c Find the length of an arc created by an inscribed angle that measures , given
the circle has a diameter of 24 inches.
a. 20.94 inches
b. 10.47 inches
c. 502.65 inches
d. 5.24 inches
MM2G3c. Find the area of the shaded sector.
a. 99.63 cm2
b. 28.47 cm2
c. 54.31 cm2
d. 15.52 cm2