Name:____________________________ Period:_________ Date:__________
Geometry Unit 1 Assessment Review (2015 – 2016)
1. Which statement describes two parallel lines?
a) They do not intersect and they lie on the same plane.
b) They do not intersect and they do not lie on the same plane.
c) They intersect at a point and form right angles.
d) They intersect at a point but do not form right angles.
2. If T is the midpoint RS and V lies between R and T, which statement must be true?
a) RV + VT = TS
b) ST + TV = RT
c) RV  TV
d) VS  ST
3. In the figure to the right, AB is parallel toCD.
Which statement proves that 3  7?
a) If two parallel lines are cut by a transversal, the alternate interior angles are congruent.
b) If two parallel lines are cut by a transversal, the alternate exterior angles are congruent.
c) If two parallel lines are cut by a transversal, the corresponding angles are congruent.
d) If two parallel lines are cut by a transversal, the vertical angles are congruent.
4. Given: PQRS is a parallelogram
S, P, and T are collinear.
Prove: 1  4
Statements
1. PQRS is a parallelogram; S, P, and T are collinear
2. PQ || SR
Reasons
1. Given
2. Definition of parallelogram
3. 1  3
4. ST || QR
3. Parallel lines cut by a transversal form congruent
corresponding angles.
4. Definition of parallelogram
5. 4  3
6. 1  4
5. ?
6. Transitive property of congruence.
Which reason can be used to justify Statement 5?
a) Angles that are supplements of the same angle are congruent to each other.
b) Parallel lines cut by a transversal form congruent alternate interior angles.
c) Parallel lines cut by a transversal form congruent corresponding angles.
d) Intersecting lines form congruent vertical angles.
5. In the diagram to the right, Points G, H, and I are collinear.
Which conjecture is NOT necessarily true?
a) GHK  KHI
b) mGHJ + mJHI = 180°
c) GHJ and JHI form a linear pair.
d) Gand JHI are vertical angles.
6. Mandy was working on this proof:
In these figures, AB  AD, EF  FG, and 1  3.
Prove: 2  4
Proof:
Statements
1. AB  AD, EF  FG, and 1  3.
Reasons
1. Given
2. m1 + m2 = 90°; m3 + m4 = 90°
3. 1 is complementary to 2
 is complementary to 4
4. 2  4
2. Definition of perpendicularity
3. Two angles that form a 90° angle are
complementary to each other.
4. ?
What is the missing statement for the last step of Mandy’s proof?
a) Definition of perpendicular lines.
b) The transitive property of equality.
c) If 2 angles are congruent to equal angles, then the 2 angles are congruent.
d) If 2 angles are complementary to congruent angles, then the 2 angles are congruent.
7. Consider the statement below.
If WX = YZ, then YZ = WX.
Which property can be used to justify the statement?
a) reflexive property of equality
c) symmetric property of equality
b) transitive property of equality
d) multiplication property of equality
8. In the figure, lines a and b are intersected by line t.
Which of these statements proves that lines a and b are parallel?
a) 1  2
c) 1 and 2 are supplementary
b) 2  3
d) 1 and  are supplementary
9. PQ at the right is used to begin a geometric construction.
Which figure BEST represents the first step in constructing the perpendicular bisector of PQ ?
a)
b)
c)
d)
10. A student uses a straight edge and a compass to perform a construction given QPS.
Which type of construction is BEST represented in the figure to the right?
a) bisector of an angle
b) perpendicular bisector of a line segment
c) midpoint of a line segment
d) angle congruent to a given angle
11. What is the slope of a line that is parallel to the graph of 2x + 4y = 5?
b) 
a) –2
1
2
c)
1
2
d) 2
12. What is the slope of a line that is perpendicular to the graph of y = 5x + 5?
b) 
a) –5
1
5
c)
1
5
d) 5
13. On the lines graphed at the right, points are identified at (–2, 1), (2, –2), and (–1, –6).
Which phrase describes the lines on the graph?
a) intersecting, but not perpendicular
b) perpendicular to each other
c) parallel and not coplanar
d) parallel but coplanar
14. Which equation has a graph that is parallel to the graph of y 
a) y = –3x – 4
1
b) y   x  2
3
1
x  2?
3
c) y 
1
x4
3
15. Which equation represents the line that passes through the point (5, 7) and is parallel to the graph of y 
a) y 
2
11
x
3
3
b) y 
2
1
x
3
3
3
31
c) y   x 
2
2
d) y = 3x – 2
2
x  7?
3
3
29
d) y   x 
2
2
16. Which equation represents the line that passes through the point (–2, 1) and is perpendicular to the graph of y 
1
1
a) y   x 
3
3
b) y 
1
5
x
3
3
c) y = –3x – 5
1
x  7?
3
d) y = –3x + 5
1
17. Which graph BEST represents a line perpendicular to the line of the equation y   x  7 ?
3
a)
b)
c)
d)
18. Which equation represents a line that is perpendicular to line l on the graph to the right?
1
a) y   x  3
2
b) y 
1
x3
2
c) y = 2x + 3
d) y = –2x + 3
19. Line m and Point P are graphed on the coordinate grid to the right.
Which equation represents a line that passes through Point P and is parallel to line m?
a) y = –2(x – 4)
1
c) y   x  4 
2
b) y = –2(x + 4)
1
d) y   x  4 
2
20. What is the area of a right triangle with vertices of (–2, –4), (2, –4), and (2, 5)?
a) 6 units2
b) 18 units2
c) 36 units2
d) 97 units2
21. What is the area of a rectangle with vertices located at (–1, 1), (–1, –4), (5, –4), and (5, 1)?
a) 12 square units
b) 15 square units
c) 20 square units
d) 30 square units
22. The figure graphed to the right is a parallelogram. What is the perimeter of the parallelogram?
a) 56 units
b) 60 units
c) 70 units
d) 72 units
23. What is the midpoint of the segment joining (2, 6) and (10, 12)?
a) (5, 6)
b) (1, 3)
c) (6, 9)
d) (12, 18)
24. Points Q, R, and S are collinear, and R is between Q and S as shown at the right.
1
If QS = 15 units and RS = QR, what is the length of RS ?
3
3
a) 3 units
4
b) 5 units
c) 10 units
1
d) 11 units
4
25. On the grid below, AB represents Canal Street, Point A represents the location of
Doug’s Market and Point B represents the location of Hamel’s BBQ. If Delicious
Donuts is located on Canal Street midway between Doug’s Market and Hamel’s BBQ,
Which coordinate pair BEST represents the location of Delicious Donuts?
a) (–2, 3)
c) (2, 3)
b) (2, –3)
d) (5, 3)
26. In the figure at the right, the points are located at equal intervals.
Which point is the midpoint of PT ?
a) Q
c) S
b) R
d) T
27. Given that X (-2, 4) is the midpoint of ̅̅̅̅
𝐴𝐵 and A is located at (5, 1), what is the location of B?
a) (3, 5)
c) (1.5, 2.5)
b) (1, -2)
d) (-9, 7)