Download Review Packet #2

Geometry 1st Semester Final Exam Review #2
Name
Period:
.
1-26 Tell whether each statement is true or false. If the statement is false, either
correct it above the statement by crossing out the incorrect part and replacing or
provide a counterexample on the answer line.
1. Every rhombus is a square.
2. The complement of an acute angle is another acute angle.
3. Any point on the perpendicular bisector of a segment is equally distant from the two
endpoints of the segment.
4. The centroid of a triangle is the point of concurrency of the three medians in the triangle.
5. The midsegment of a trapezoid is equal in length to the average of the two base lengths.
6. The measure of each exterior angle of a regular octagon is 45.
7. In a triangle, the angle with the least measure is opposite the longest side.
8. Two shortcuts for showing two triangles are congruent are ASA and SSA.
9.
The diagonals of a kite are perpendicular bisectors of each other.
10. The angle bisector in a triangle bisects the opposite side.
11. Any point on the angle bisector of an angle is equally distant from the two sides of the angle.
12. If point A has coordinates (0, 3) and point B has coordinates (8, -5), then the midpoint
of AB is found at (4, 4).
13. Given two sides and an included angle, exactly one triangle can be constructed.
14. The sum of the measures of any two consecutive angles of a parallelogram is 180.
15. If the diagonals of a quadrilateral are perpendicular, then the quadrilateral must be a square.
16. If the diagonals of a quadrilateral are congruent, then the quadrilateral must be a rectangle or
square.
17. Making a conjecture from your observations is called deductive reasoning.
18. In a linear pair of angles, one of the angles must be obtuse.
19. A trapezoid has exactly one pair of congruent sides.
20. A scalene triangle has no sides of the same length.
Geometry 1st Semester Final Exam Review #2
21. A square is both a rhombus and a rectangle.
22.  ABC has vertex C.
23. If two lines are cut by a transversal to form a pair of congruent corresponding angles, then
the lines are parallel.
24. When you construct a figure, you use only a compass and a protractor.
25. The incenter of a triangle is the intersection of the perpendicular bisectors of its sides.
26. It is possible to create a triangle with side lengths 12 cm, 7 cm, and 5 cm.
Fill in the blank.
27. If  1 and  2 form a linear pair and m  1 = 64°, then
28. Each point on the
.
of a segment is equidistant from the endpoints of the segment.
29. In a regular pentagon, each interior angle has measure _____________.
30. If one of the base angles of an isosceles triangle has measure 40°, then the vertex angle has
measure ________________.
31. In
ABC, if m  A = 50°, m  B = 72°, and m  C = 58°, then ________________ is the
longest side.
32. In a regular n-gon, each exterior angle has measure _______________.
33. If the midsegment of a trapezoid has length 6 cm, and one of the bases has length 4 cm, then
the other base has length ________________.
34. The two diagonals of a ________________ are perpendicular bisectors of one another, are
congruent, and bisect the angles.
35. What is the sum of the measure of the interior angles of a dodecagon?
36. Which point of concurrency is equidistant from the three vertices of a triangle?
37. Which point of concurrency is equidistant from the three sides of a triangle?
38. The base angles of an isosceles trapezoid are _______________.
39. In an isosceles trapezoid, the diagonals ________________________.
Geometry 1st Semester Final Exam Review #2
Use the figure at the right for #40 and #41
D
A
C
B
40. In the figure above, AD || BC and CD  AB . If possible, how would you show ∆ABD  ∆CDB?
41. In the figure above, AD || BC and AD  BC . If possible, how would you show ∆ABD  ∆CDB?
42. If ∆ CAT  ∆ DOG, which of the following is not necessarily true?
43.
A. ATC  DGO
B. CT  DG
D. CAT  DOG
E. CA  DO
C. AT  DO
Provide each missing reason or statement in the proof.
Given:  UQA   DQA
QU  QD
Show: U  D
Statement
Reason
1.  UQA   DQA; QU  QD
1.
2.
2.
3.
3.
4. U  D
4.
Given
Geometry 1st Semester Final Exam Review #2
44.
Give an example of each of the following segments in ΔABC.
a.
a median
b.
a perpendicular bisector
c.
an altitude
d.
an angle bisector
A
F
D
e
G
a midsegment ________
B
46º
46º
C
E
45.
Use the figure at the right, give an example of the following…
a. Vertical Angles
1
b. Linear Pair
2
46.
4
3
Provide each missing reason or statement in the flowchart proof.
B
Given: AC || BD
A  D
A
Show: AB  DC
1
D
2
3
A  D
4
5
Δ____
Δ_____
C
6
Geometry 1st Semester Final Exam Review #2
47.
Find the angles a – d.
49.
Provide each missing reason or statement in the proof.
48.
Find angles m, n, p, r, s, and t.
Statement
Reason
1. 𝐴𝐵||𝐷𝐸 and 𝐴𝐵 ≅ 𝐷𝐸
1. Given
2.
2.
3.
3.
4.
4.
5.
5.
Geometry 1st Semester Final Exam Review #2
B
4
̅̅̅̅, ̅̅̅̅
̅̅̅̅
50. Given: ̅̅̅̅
𝐴𝐵 𝐴𝐷
𝐴𝐶 𝐵𝐷
C
Prove: ACB  ______
1
A
2
3
D
Statements
1.
Reasons
̅̅̅̅
𝑨𝑩̅̅̅̅
𝑨𝑫, ̅̅̅̅
𝑨𝑪̅̅̅̅̅
𝑩𝑫
1.
2.
2. Definition of perpendicular
3.
3.
4.
ABD is isosceles
4.
5.
5. Isosceles triangle theorem
6. ACB  _________
6.
51. Find the coordinates of the midpoint of the segment with endpoints A(-3, 0) & B(-1, 6).
Match each term with the correct figure.
52. Obtuse triangle
______
53. Octagon
______
54. Prism
______
55. Isosceles right triangle
______
56. Pyramid
______
57. Obtuse isosceles triangle ______
A.
C.
E.
B.
D.
F.