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.

Using the information on the diagram and assuming the top and bottom are parallel, is —
 a. 40º 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:  .

What is ?
 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?

 a. Draw . 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, is a transformation of , and is a transformation of .

The composite transformation of to 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.

 a. and b. and c. and d. and

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.

Which of the following is NOT a valid proof that ?
 a. b. c. d.

9.

Which geometric construction is shown in the diagram?

 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 diagonal?
 a. b. c. d. (1, 1)

11.

If  p||q, what is the measure of ?

 a. 3° b. 29° c. 151° d. 177°

12.

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

13.

Given:  and ? are parallel
Given:  mM = mL = 50°.

What is ?
 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. b. c. d.

15.

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.

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.

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