Name: 
 

RC1:  Reasoning Lines and Transformations Geometry Simulation 2012



(Questions courtesy of Chesterfield County Public Schools)

Multiple Choice

Identify the choice that best completes the statement or answers the question.
 

 1. 

George used a decorative gate to connect the fencing around his backyard.
             mc001-1.jpg

      Using the information on the diagram and assuming the top and bottom are parallel, mc001-2.jpg is —
a.
4
b.
60º
c.
120º
d.
180º
 

 2. 

Which is the biconditional of the following statement?

If a polygon is a triangle, then it has exactly three sides.


a.
A polygon is not a triangle if and only if it does not have three sides.
b.
A polygon is a triangle if and only if it has exactly three sides.
c.
If a polygon has exactly three sides, then it is a triangle.
d.
If a polygon does not have exactly three sides, then it is not a triangle.
 

 3. 

Given:  mc003-1.jpg.

mc003-2.jpg


      What is mc003-3.jpg?
a.
15º
b.
75º
c.
105º
d.
165º
 

 4. 

Given: angle A

      What is the first step in constructing the angle bisector of angle A?     

     mc004-1.jpg

a.
Draw mc004-2.jpg.
b.
Draw a line segment connecting points B and C.
c.
From points B and C, draw equal arcs that intersect at D.
d.
From point A, draw an arc that intersects each side of the angle.
 

 5. 

In the diagram, mc005-1.jpgis a transformation of mc005-2.jpg, and mc005-3.jpgis a transformation of mc005-4.jpg.

        mc005-5.jpg

      The composite transformation of mc005-6.jpg to mc005-7.jpg is an example of a
a.
reflection followed by a rotation.
b.
reflection followed by a translation.
c.
translation followed by a rotation.
d.
translation followed by a reflection.
 

 6. 

Determine which statement best represents the information in the figure.

mc006-1.jpg
a.
mc006-2.jpg and mc006-3.jpg
b.
mc006-4.jpg and mc006-5.jpg
c.
mc006-6.jpg and mc006-7.jpg
d.
mc006-8.jpg and mc006-9.jpg
 

 7. 

Which conclusion logically follows the true statements?

·      “If the football team doesn’t score, they will lose the game.”

·      “If the football team loses the game, they will not play for the championship.”
a.
If the football team wins, they will not play for the championship.
b.
If the football team scores, they will play for the championship.
c.
If the football team doesn’t score, they will play for the championship.
d.
If the football team doesn’t score, they will not play for the championship.
 

 8. 

Given:  k || p.
               mc008-1.jpg
      Which of the following is NOT a valid proof that mc008-2.jpg?
a.
mc008-3.jpg
b.
  mc008-4.jpg
c.
  mc008-5.jpg
d.
       mc008-6.jpg
 

 9. 

Which geometric construction is shown in the diagram?
                     mc009-1.jpg
a.
a line segment congruent to a given line segment.     
b.
a line parallel to a given line
c.
a perpendicular bisector of a segment
d.
a bisector of a given angle
 

 10. 

Quadrilateral ABCD has vertices A (-2, 2), B (4, 5), C (3, 0) and D (-3,-3).  What are the coordinates of the midpoint of diagonalmc010-1.jpg? 
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
(1, 1)
 

 11. 

If  p||q, what is the measure of mc011-1.jpg ?

mc011-2.jpg
a.
b.
29°
c.
151°
d.
177°     
 

 12. 

The equation of line k is mc012-1.jpg
The equation of line m is mc012-2.jpg
Lines k and m are –
a.
parallel
b.
perpendicular
c.
the same line
d.
intersecting but not perpendicular
 

 13. 

Given:  mc013-1.jpgand mc013-2.jpg? are parallel
Given:  mmc013-3.jpgM = mmc013-4.jpgL = 50°.

       mc013-5.jpg

      What is mc013-6.jpg?
a.
130º
b.
100º
c.
80º
d.
50º
 

 14. 

Scott is constructing a line perpendicular to line l from point P.  Which of the following should be his first step?
a.
mc014-1.jpg
b.
mc014-2.jpg
c.
mc014-3.jpg
d.
mc014-4.jpg
 

 15. 


mc015-1.jpg

            
Based strictly on this diagram representing students participating in after school activities, which statement represents the shaded region?
a.
Some students participate in sports and music, but not clubs.
b.
Some students participate in clubs and music, but not sports.
c.
Some students participate in sports, music, and clubs.
d.
All students participate in sports and music.
 

 16. 


mc016-1.jpg


If triangle XYZ is reflected across the x-axis to form triangle X 'Y 'Z', what are the coordinates of Z' ?
a.
(2, -3)
b.
(2, 3)
c.
(-2, 3)
d.
(3, 2)
 

 17. 

Consider the following statements represented by p and q :

      p:  The sum of two angles is 180°.

      q:  The two angles are supplements.     

      Which of the following is a symbolic representation of the statement

If two angles are not supplements, then the sum of the two angles is not 180°.

a.
q ® p _
b.
p ® q
c.
~q ® ~ p
d.
~p ® ~ q
 

 18. 


       mc018-1.jpg
This figure has —
a.
point symmetry only
b.
line symmetry only_
c.
point and line symmetry
d.
neither point nor line symmetry
 



 
Check Your Work     Start Over