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Practice Test 1 - CCSS Geometry
Interactive Version - Multiple Choice

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Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time. You may use your graphing calculator when working on these problems.

 

1.  


 

1a

t1q1
[1] 1.75
[2]  2
[3]  3
[4]  4



2. 
What is the equation of the line parallel to the line whose equation is 5y + 8 = - 2x ?
[1] y = -2x + 3
[2]  y = 2x + 1
[3]  y = -2/5 x + 4
[4]  y = 5/2 x - 1
 


3.  Which three dimensional figure will be created if a rectangle is rotated about one of its lines of symmetry?
[1] cone
[2] cube
[3] sphere
[4] cylinder
 


4.  Which rigid transfromation will verify that ΔABC is congruent to ΔDEF, as shown at the right?
[1]  reflection in the y-axis
[2]  reflection in the x-axis
[3]  reflection in the line y = 1
[4]  translation T0,-2
t1q3
5.  In circle O, mABO = 61º. Find mACB.
[1]  61º
[2]  58º
[3]  30.5º
[4]  29º
tiq5
 

6. 
Which of the following choices is a precise definition of the term "supplementary angles" ?
[1]  Angles whose sum of their measures is 180º.
[2]  Angles whose sum of their measures is 90º.
[3]  Two angles whose sum of their measures is 180º.
[4]  Two angles whose sum of their measures is 90º.
 

7. 
The altitude of an equilateral triangle is 9 inches. Find the perimeter of the triangle in inches.
[1] t1q7a
[2] t1q7b
[3] t1q7c
[4] t1q7d

 

8.  ΔABC is similar to ΔDEF.
mBAC = (x² - 5x)º, mBCA = (4x - 5)º and
mEDF = (4x + 36)º. Find mF.
[1]  43º
[2]  36º
[3]  30º
[4]  12º
t1q8


9. 
Which equation represesnts the perpendicular bisector of ab whose endpoints are A (4,1)
and B (0,3)?
[1] t1q9a
[2] y = 2x - 2
[3]t1q9c
[4] y = -2x + 6
 

10.  The proof of the construction shown at the right utilizes
[1]  congruent triangles and the Side-Angle-Side postulate.
[2]  congruent triangles and the Side-Side-Side postulate.
[3]  similar triangles and the Angle-Angle postulate for similarity.
[4]  similar triangle and the Side-Angle-Side postulate for similarity.
t1q10
 

11. 
In ΔABC, AB = AD = DC and mBAD = 46º.
Find mBCA.
[1] 33.5º
[2]  46º
[3] 48.5º
[4]  67º
t1q11
 
12. 
In parallelogram ABCD, diagonals  acand  bdare drawn and intersect at E. AE = x² - 24 and  EC = 2x.  Find AC.
[1] 4
[2] 6
[3] 12
[4] 24


 

13. 
Find the length of ab where A (-4, -6) and B (1, -3).
[1]rad106
[2]rad90
[3]rad34
[4]rad18
 


14.  ΔABC is similar to ΔDEF, as shown at the right.
Find BC.
[1]  6
[2]  7
[3]  18
[4]  21
t1q14


15.  Circle O has diameter ab, OA = 3 units and
m
AOC = 165º. Which of the choices expresses the arc length of minor arc arcAC?
[1]  pie3
[2]  pie9
[3]  pie11
[4]   pie15
t1q15


 
16.  A right circular cone has a radius of 6 inches and a slant side length of 10 inches. A right cylinder has a radius of 8 inches and a height of 12 inches. How many cones full of water are needed to fill the cylinder?
[1]  4
[2]  8
[3]  10
[4] 12
t1q16
 


17. 
The line y = 3x + 2 is dilated by a scale factor of 2 centered at the origin. Which equation represents the image of the line after the dilation?
[1] y = 3x + 4
[2] y = 3x + 9
[3] y = 2x + 2
[4] y = 6x + 4
 


18. 
In right ΔABC, the right angle is located at vertex C. If sin(A) = 3x - 0.5 and cos(B) = 2x - 0.1, find x.
[1] 0.5
[2] 0.4
[3] 9.06
[4] 18.12
 


19. 
From a point on the ground 62 feet from the foot of statue, the angle of elevation of the top of the statue is 37º. Find the height of the statue to the nearest foot.
[1] 37 feet
[2] 47 feet
[3] 50 feet
[4] 82 feet
 



20. 
A dilation centered at O is shown at the right. The image of ΔABC is ΔA'B'C', OA' = 10 and OA = 15. What is the scale factor of the dilation?
[1]  2thirds
[2]  3halves
[3]  1half
[4]    2
t1q20


21. 21prob
[1] 21prob1
[2]  21prob2
[3] 21prob4
[4]  21prob3




22. 
Circle O has diameter ab and tangent ef at point B.
Which of the following angles is not a right angle?
[1]  ACB
[2]  ADB
[3]  EBA
[4]   FBD
t1q21
 


23.  Given right ΔABC and right ΔDEF marked as shown at the right. ΔFGC is isosceles. Which of the following methods will prove ΔABC is congruent to ΔDEF?
[1]  Angle-Side-Angle
[2]  Hypotenuse-Leg
[3]  Angle-Angle-Side
[4]   Side-Angle-Side
t1q23

 

24.  Given ΔABC, midpoints M and N, MN = 5x - 6 and CB = 48, find x.
[1]  3.6
[2]  6
[3]  8.6
[4]   10.8
t1q24