Download Geometry Name Chapter 2 Worksheet In 1

Geometry
Chapter 2 Worksheet
Name
In 1-3, make a conjecture about the next number in each sequence.
1.
-4, -1, 2, 5, 8
2.
-2, 4, -8, 16, -32
3.
12, 6, 3, 1.5, 0.75
In 4 and 5, make a conjecture based on the given information. Draw a figure to illustrate your conjecture.
4.
5.
Point P is the midpoint of NQ .
ABC is a right angle.
In 6-8, determine whether each conjecture is true or false. Give a counterexample for any false conjecture.
6.
Given: ABC and CBD form a linear pair.
Conjecture: ABC  CBD
7.
Given: 1 and 2 are adjacent angles.
Conjecture: 1 and 2 form a linear pair.
8.
Given: GH and JK form a right angle and intersect at P.
Conjecture: GH  JK
In 9 and 10, identify the hypothesis and conclusion of each statement.
9.
If you purchase a computer and do not like it, then you can return it within 90 days.
Hypothesis:
Conclusion:
10.
If the drama class raises $2000, then they will go on tour.
Hypothesis:
Conclusion:
In 11 and 12, write each statement in if-then form.
11.
A polygon with four sides is a quadrilateral.
12.
An acute angle has a measure less than 90.
In 13-15, determine the truth value of the following statement for each set of conditions.
If you finish your homework by 5 P.M., then you go out to dinner.
13.
You finish your homework by 5 P.M. and you go out to dinner.
14.
You finish your homework by 4 P.M. and you go out to dinner.
15.
You finish your homework by 5 P.M. and you do not go out to dinner.
In 16-19, determine whether the following statements are always, sometimes, or never true.
16.
Two angles that are supplementary form a linear pair.
17.
Two angles that are vertical are adjacent.
18.
Two angles that are supplementary are complementary.
19.
Complementary angles are congruent.
In 20-25, find the measure of each numbered angle.
20.
21.
m2  57
m5  22
22.
m1  38
1
1 2
23.
m1  x  10
m2  3x  18
1
2
5
24.
2
6
m4  2x  5
m5  4 x  13
3
4
25.
5
m6  7x  24
m7  5x  14
6
7