Download Unit1Test - The Math Forum @ Drexel

Name:__________________________
Geometry Unit 1 Test
Part 1 Answer Sheet
1.)__________
2.)__________
3.)__________
4.)__________
5.)__________
6.)__________
7.)__________
8.)__________
9.)__________
10.)_________
Name:______________________________
Geometry Unit 1 Test
Directions: Part 1 multiple choice questions are worth two points each. Partial credit is not given.
All answers must be put on the answer sheet. No credit will be given for any question left blank.
1.) Which definition best describes the image to the right?
a. The set consisting of A, B, and all points on the line AB between A and B.
b. Given a point A in the plane and a number r>0, it is the set of all points in the
plane that are distance r from the point C.
c. A straight one-dimensional figure having no thickness and extending infinitely in
both directions.
d. Two half-lines in a plane which meet one another at their end-points and do not
make a straight line.
2.) Which definition best describes the image to the right?
a. straight lines which, being in the same plane and being drawn infinitely in both
directions, do not meet one another in either direction
b. A line that intersects two lines such that it intersects the first line at A and the
second line at B, where A and B are not the same point.
c. Two lines that intersect such that the angle at the point of intersection is equal to
90o
d. Two non-adjacent angles formed by two intersecting lines
3.) Find the value of a in the diagram to the
right.
a. 80o
b. 70o
c. 30o
d. 50o
4.) Which center is represented in the diagram to the right?
a. Orthocenter
b. Incenter
c. Circumcenter
d. Centroid
For questions 5-8, use the diagram to the right.
5.) What is the value of e?
a. 45o
b. 50o
c. 25o
d. 100o
6.) What is an appropriate justification for question 5?
a. Linear Pairs are Supplementary
b. Sum of the angles on a straight line equals 180o
c. Vertical angles are congruent
d. Alternate interior angles are congruent
7.) What is the value of b?
a. 25o
b. 155o
c. 65o
d. 55o
8.) What is an appropriate justification for question 7?
a. Linear Pairs are Supplementary
b. Vertical angles are congruent
c. Exterior angles in a triangle equal the sum of the remote angles
d. Alternate interior angles are congruent
9.) In the diagram to the right, which point is equidistant
from the endpoints of line RS.
a.
b.
c.
d.
A
B
C
D
10.)
Which construction below represents an appropriate construction to obtain an
angle that is congruent to a given angle?
a. f
c.
b. F
d.
Part 2: All work must be shown for this portion of the test. Partial credit will be awarded
according to the amount of correct work shown. For any construction, be sure to show ALL
construction marks.
11.)
Construct a square below:
12.)
Construct a regular hexagon below:
13.)
Construct a line parallel to the given line that goes through point A. Write the
steps that you followed to complete the construction below.
STEPS:
14.)
In the diagram below, determine the value of a, b, and c. Justify each step of the
process formally.
15.)
Prove the measures of the interior angles of a triangle sum to 180o. Draw a
diagram to help you complete your proof. Be sure to justify each step of your proof.
16.)
Prove that vertical angles are congruent. Draw a diagram to help you complete
your proof. Be sure to justify each step of your proof.