Name: __________________________________ Date: ______________________ Block#: _______________
Geometry Midterm Review 2014
PART I. Identify each statement as true or false
1.
Any two consecutive sides of a kite are congruent.
2.
The angle bisector of the vertex angle in an isosceles triangle is also the perpendicular bisector, the altitude, and the
median..
3.
The shortest chord of a circle is the radius of the circle.
4. The longest chord of a circle is the diameter of the circle.
5.
Every point on the perpendicular bisector of a segment is equally distant from the two endpoints of the segment.
6.
If two parallel lines are cut by a transversal forming corresponding angles, then the corresponding angles are
supplementary.
7. If two parallel lines are cut by a transversal forming alternate interior angles, then the alternate interior angles are
supplementary.
8.
The sum of two sides of a triangle must be less than the length of the third side.
9.
If the base angles of an isosceles triangle each measure 42°, then the vertex angle has a measure of 96°.
10. The smallest angle in a triangle is opposite the largest side.
11. The type of reasoning used when making generalizations from careful observations is inductive reasoning.
12. ASA and SSA are two shortcuts for showing that two triangles are congruent.
PART II.
13. If 5 lines are drawn parallel to each other, they divide the plane into how many regions? 10 lines? N lines?
14. What is the slope of the line through the points (2, 6) and (-4, 3)?
15. There are 50 people at a party and everyone shakes hands with everyone else. How many handshakes would there be
altogether?
16. Write an equation that is perpendicular to the line y = -2x + 5.
17. Which of the following triangles are not possible?
a. 1, 2, 3
b. 2, 4, 5
c. 7, 9, 14
d. 3, 4, 5
18. If all the sides of a polygon are congruent, name three shapes that work and three that don’t for the rule.
19. State the congruence shortcut, if any.
20. State the congruence shortcut, if any.
21. If D is the midpoint of AC , C is the midpoint of AB and BD = 48 cm, what is the length of AB ?
22. If a quadrilateral has two pairs of parallel sides, name 4 figures it can be.
23. Given isosceles triangle FOR, if the measure of the vertex angle = 58°, find the measure of each base angle.
24. What is the measure of  ABD in the figure below?
A
B
125o
C
60o
D
E
25. Show the sides from greatest to least.
26. Show the congruency shortcut for the given polygon.
27. Find the length of side JL.
28. Find the value of x and all the angles.
B
C
29. Name the types of angles shown. If there is more than one answer, give as many as you can.
A.
B.
C.
D.
E.
30. Find the 50th term and the nth term in the following sequence.
1
-1
2
3
3
7
4
11
5
15
6
19
…
…
n
…
…
50
31. . Into how many parts do 50 concurrent lines divide the plane?
32. Solve for x and find the value of both angles given that a//b.
33. Provide each reason or statement in the flowchart proof.
Given: C  N
CY  NY
O
K
Prove: OY  KY
1
Flowchart Proof:
Y
2
C
N
CY  NY
34. ?
C  N
35. ?
36. ?
ASA Congruence
Conjecture
1  2
38. ______________
OY  KY
37.
?