Download Geo Ch 2 Review

Geometry Chapter 2 Review
Name ___________________
1. What is the difference between inductive reasoning and deductive reasoning? Give an example of
each.
2. Write the inverse, converse, and contrapositive of the following conditional statement. Next to each,
write the correct symbol notation.
If a quadrilateral is a rectangle, then it has 4 right angles.
a. Inverse (
):
b. Converse (
):
c. Is the converse True or False?
d. Contrapositive (
):
e. If the original conditional and converse are both true, write a BICONDITIONAL statement below:
______________________________________________________________________________.
3. Find the next term of the sequence and explain the pattern used:
a. 1, 4, 9, 16, 25, ________
b. 1, 3, 7, 13, 21, ________
______________________
______________________
For problems 4 – 15, tell whether the following statements are true or false. If the statement is false,
correct the statement:
4. If two lines are parallel and cut by a transversal, then the alternate exterior angles will be
congruent.
5. If two angles are vertical angles, then they are congruent.
6. If two angles are a linear pair of angles, then they are congruent.
7. If two angles are equal in measure and supplementary, then each angle measures 90°.
8. The statement formed by exchanging the “if” and the “then” of a conditional statement is
called the transversal.
9. Consecutive interior angles are a pair of angles (formed by a transversal intersecting two lines)
that lie on the same side of the transversal and inside the two lines.
10. If two angles are equal in measure and supplementary, then each angle measures 45º.
11. If 2 coplanar lines don’t intersect, then they are skew.
12. Deductive reasoning is proving a statement is true by giving a sequence of logical steps.
13. A rhombus is a parallelogram with 4 congruent angles.
14. A semicircle is an arc of a circle whose endpoints are the endpoints of a radius.
15. An isosceles triangle has no sides of the same length.
16. Name the types of angles that
a) are congruent when two parallel lines are cut by a transversal.
b) are supplementary when two parallel lines are cut by a transversal.
17. Use the diagram below to name the specified angle pair.
a. 3 and 8_____________________
p
8
12 11
10
9
m
7
5
6
b. 2 and 5____________________
c. 12 and 1_____________________
d. 5 and 7____________________
e. 9 and 1_____________________
4
n
3
1
2
f. 11 and 10_____________________
g. 4 and 8_____________________
h. 10 and 7_____________________
18. Find mACD
D
(x+100)º
9xº
A
B
C
.
19. (Hint: You can use the fact that the angles of a triangle add to 180 degrees)
m1
m10 _
m2
m11
m3
m12
m4
m13
m5
m14
m6
m15
m7
m16
m8
m17
m9
x __________
20-22. Use the diagram below to answer the following questions.
Line g is parallel to line h
Line m is parallel to line k
g
1 5
9 13
20. If  8 = (3y + 53)º and  3 = (7y - 55)º, find m  15.
h
10 2
14 6
m
m  15 =
21. If  14 = (4x - 5)º and  15 = (3x + 11)º, find m  7 .
8 12
4 16
11 7
15 3
k
m7 =
22. If  13 = (13y - 10)º and  14 = (6y)º, find y.
y=
23. Use the above diagram above to name the angle pair. If they are not a pair with a name, write NONE.
∡2 & ∡15 ________________________________
∡13 & ∡10 _______________________________
∡8 & ∡9 _________________________________
∡3 & ∡6 _________________________________
∡11 & ∡15 _______________________________
∡12 & ∡4 ________________________________
∡14 & ∡3 ________________________________
∡1 & ∡3 _________________________________