Download Geometry A Final Exam 2014-15

Geometry A Final Exam 2014-15
(Geometry A - TOR: AAI)
1. If angle EAC is congruent to angle ECA, name the congruent segments.
A. AE, EC
B. EC, CA
C. AE, AC
D. AE, EC, AC
2. Which of the following polygons is convex?
A.
B.
C.
D.
1
3. Triangle ABC =~ Triangle DFE. find the value of x.
A. 8.54
B. 9.8
C. 12.92
D. 21.92
4. Name the polygon by its number of side.
A. pentagon
B. nonagon
C. decagon
D. dodecagon
5. Verify that quadrilateral BCDE is a rhombus with vertices B(-5, 1), C(0, 6), D(5, 1) and E
(0, -4) by showing that all four sides are equal.
A.
BD = CE =
B. BD = CE = 50
C. BC = CD = DE = EB = 50
D.
BC = CD = DE = EB =
6. Find the value of x and y in parallelogram LMNP.
A. x = 31, y = 2
B. x = -3, y = 2
C. x = 2, y = 31
D. x = 124, y = 10
7. WXYZ is a kite. If the measure of angle WXY is 120°, the measure of angle WZY is 4x°
and the measure of angle ZWX is 10x°, find the measure of angle ZYX.
A. 100°
B. 171.43°
C. 40°
D. 80°
8. If the perimeter of a square is 64 cm, find the area.
A. 32 cm2
B. 48 cm2
C. 64 cm2
D. 256 cm2
9. Which property states that if
, then
?
A. Reflexive
B. Transitive
C. Symmetric
D. Multiplicative identity
10. If ABCD is a parallelogram, identify the two pairs of congruent segments.
A.
B.
C.
D.
11. Use the figure below to determine the relationship between the lengths of
Click Here for a long description of the image above.
A.
=
B.
>
C.
<
D. No relationship can be determined.
and
12. Find the value of y in the rhombus below.
A. 15
B. 120
C. 60
D. 30
13. Select the statement that rewrites the following definition as a conditional statement.
Collinear points: points that lie on the same line.
A. Points that lie on the same line are collinear
B. If points lie on the same line, then they are collinear.
C. If points are not collinear, then they do not lie on the same line
D. Collinear points lie on the same line
14. Find the value of x.
A. 80
B. 69
C. 31
D. 21
15. Classify the figure in as many ways as possible.
A. rectangle, trapezoid, quadrilateral, parallelogram, rhombus
B. rectangle, square, quadrilateral, parallelogram, rhombus
C. rectangle, quadrilateral, parallelogram
D. rhombus, trapezoid, quadrilateral, parallelogram
16. Which of the following could not be a value of n?
A. 7
B. 10
C. 13
D. 22
17. What is the area of a triangle with a base of 20.3 m and a height of 5.6 m?
A. 28.42 m2
B. 56.84 m2
C. 113.68 m2
D. 227.36 m2
18. What additional information is needed to conclude that the triangles are congruent by
the side-side-side congruence postulate?
A. O is the midpoint of PM.
B. MO≅OP
C. ON≅NO and MO≅OP
D. No additional information is needed to show that the triangles are congruent by SSS.
19. Quadrilateral ABCD is a rectangle. The measure of angle CBE is equal to 32º, find the
measure of angle CEB.
A. 58°
B. 74°
C. 148°
D. 116°
20. Find the area of the parallelogram.
A. 69 cm2
B. 345 cm2
C. 276 cm2
D. 180 cm2
21. Find the value of a.
A. 23.3
B. 16
C. 8
D. 64
22. IfΔXYZ≅ΔMNL , what is
A. ∠L
B. ∠M
C. ∠N
D. ∠Y
∠X congruent to?
23. What additional information is needed to verify that the triangles are congruent by the
side-angle-side congruence postulate?
A.
∠Y≅∠Z
B.
∠XAY≅∠ZAX
C.
YA≅AZ
D. No additional information is needed to show that the triangles are congruent by SAS.
24. Which of following is NOT a regular polygon?
A.
B.
C.
D.
25. The centroid of a triangle is the intersection of the
A. altitudes
B. medians
C. angle bisectors
D. perpendicular bisectors
26. The sum of the exterior angles of a convex polygon, one angle at each vertex, is equal
to how many degrees?
A. 90°
B. 180°
C. 360°
D. 540°
27. The perimeter of a kite is 52 meters. If one side measures 19 meters find the measure
of the opposite side.
A. 16.5 meters
B. 14 meters
C. 7 meters
D. 19 meters
28. If
A. 2
, find x.
B. 4
C. 6
D. Cannot be determined
29. State whether the following uses inductive or deductive reasoning: 1, 3, 5, 7,…
The next number is 9.
A. Inductive
B. Deductive
30. WXYZ is an isosceles trapezoid. WY = 8a – 3 and ZX = 19. Find the value of a.
A. 2
B. 2.375
C. 3.75
D. 2.75
31. Find the area of the kite.
A. 54 cm2
B. 72 cm2
C. 108 cm2
D. 39 cm2
32. What is the 7th number in the pattern: 1, 4, 9, 16, 25, …?
A. 32
B. 36
C. 39
D. 49
33. The orthocenter of a triangle is formed by the ____________of a triangle.
A. perpendicular bisectors
B. angle bisectors
C. medians
D. altitudes
34. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?
A.
and
B.
and
C.
and
D.
and
35. Which angle has the greater measure?
A. ∠B
B. ∠E
C. ∠D
D. The angles are congruent
36. If the area of a square is 1444 ft2, find the perimeter.
A. 152 ft
B. 288 ft
C. 361 ft
D. 304 ft
37. What additional information is needed in order to know that the triangles are congruent
by the angle angle side congruence postulate.
A. ∠XAY≅∠ZAX
B. AY≅AZ
C. No additional information is needed to show that the triangles are congruent by AAS.
D. ∠Y≅∠Z
38. Given:
and
Prove:
Complete the proof by choosing the correct statement for line number 4 and the correct
reason for line number 6.
Statement
Reason
1.
Given
2.
3.
and
interior angles
4.
Given
are alternate
Definition of alternate interior angles
Alternate Interior Angle Theorem
Reflexive
5.
6.
A.
; SAS
B.
; SAS
C.
; SSA
D.
; SAS
39. DEFG is a parallelogram. Segment DH = y + 4, segment HF = 3x – 1, segment HE = 3x
+ 2 and segment GE = 28. Find the values of x and y.
A. x = 4; y = 7
B.
x=
; y = 21
C. x = 4; y = 11
D. x = 5; y = 12
40. Classify the triangle based on side lengths 4.5, 20 and 20.5.
A. right
B. acute
C. obtuse
D. no triangle can be formed with given side lengths
41. A 20 foot ladder is placed against a building to reach a window that is 16 feet above the
ground. How many feet away from the building is the bottom of the ladder?
A. 3
B. 4
C. 12
D. 15
42. What is the sum of the interior angles of a convex nonagon?
A. 1620°
B. 1800°
C. 1260°
D. 3240°
43. Find the perimeter of the polygon.
A. 69 cm
B. 425 cm
C. 69 cm2
D. 425 cm2
44. Side one of a triangle is (3x+10), side two of a triangle is (5x) and side 3 of a triangle is
(2x + 25). If the perimeter of the triangle is 200, find the value of x
A. 16.5
B. 59.5
C. 82.5
D. 58
45. The HL congruence postulate applies to
A. all triangles
B. acute triangles
C. right triangles
D. obtuse triangles
46. Find the perimeter of an equilateral triangle with side length of 12 inches.
A. 12 in
B. 72 in
C. 48 in
D. 36 in
47. The diagram below shows the construction of the center of the circle circumscribed
about △WXY. This construction represents how to find the intersection of
A. the angle bisectors of △WXY
B. the medians to the sides of △WXY
C. the altitudes to the sides of △WXY
D. the perpendicular bisectors of the sides of △WXY
48. In ABC below, BD is an altitude and D is the midpoint of AC. Are the triangles
congruent? If they are congruent, write a congruence statement.
A. ΔABD≅ΔCBD
B. ΔABD≅ΔBDC
C. ΔABD≅ΔCDB
D. The triangles are not congruent.
49. Based on the two-column proof below, the SAS congruence postulate is the reason for
what statement?
Statements
Reasons
F is the midpoint of EG¯¯¯¯¯¯.
F is the midpoint of HD¯¯¯¯¯¯.
Given
DF¯¯¯¯¯¯≅FH¯¯¯¯¯¯EF¯¯¯¯¯≅FG¯¯¯¯¯ Definition of midpoint
Vertical angles are congruent.
∠DFE≅∠GFH
SAS congruence postulate
ΔDFE≅ΔHFG
A.
∠DFE≅∠GFH
B.
ΔDFE≅ΔHFG
C.
EF¯¯¯¯¯≅FG¯¯¯¯¯
D.
F is the midpoint of EG¯¯¯¯¯
50. The sum of the measures of the angles of a triangle is ______.
A. 90°
B. 180°
C. 270°
D. 360°