Download Cumulative Review for midterm Name Geometry, chapters 1 to 6

Cumulative Review for midterm
Geometry, chapters 1 to 6
Name ___________________________
Date _______________period _______
1. Describe the difference between inductive reasoning and deductive reasoning.
2. A rule that is accepted without proof is called a _______________________.
3. A true statement that follows as a result of other true statements is called a
____________________________.
4. If two lines intersect then their intersection is a ________________________.
5. If tow planes intersect then their intersection is a _______________________.
6. Any three non-collinear points determine exactly one ___________________.
7. A/an ___________________ divides an angle into two congruent and adjacent angles.
8. If the sum of the measures of two angles is 90o then the angles are ____________________.
9. If two lines are parallel to the same line then they _________________________________.
10. Vertical angles are _____________________________.
11. If two angles form a linear pair, then the angles are __________________________.
12. The midsegment of a trapezoid is _________________ to the bases and its length is
____________________________________________________.
13. State the three undefined terms of geometry. __________ __________ __________
14. State the abbreviation for the five triangle congruence postulates or theorems you have
studied.
__________ __________ ___________ ___________ __________
Determine if each of the following statements is true Always, Sometimes, or Never.
1. Adjacent angles are complementary.
__________________
2. The measure of exterior angles of a triangle is equal to the sum of the measures of the two
remote interior angles.
__________________
3. A parallelogram is an isosceles trapezoid.
__________________
4. Two equilateral triangles are congruent.
__________________
5. If B is between A and C then B is the midpoint of AC
__________________
6. Parallel planes intersect in exactly one line.
__________________
Use the diagram provided for the following. Respond using proper notation!
1. Name 3 collinear points.
___________________
2. Name 3 non-collinear points.
___________________
3. Give another name for line b.
___________________
4. Name a pair of opposite rays.
___________________
5. Give another name for plane M.
___________________
6. Name a point that is non-coplanar to D and F.
___________________
M
Use the diagram provided for each of the following. a is parallel to b
and m is parallel to n.
1. Name all angles congruent to angle 1.
2. Name all angles congruent to angle 2.
3. Angle 1 and angle 5 are called __________________________.
4. Angle 8 and angle 2 are called __________________________.
5. Angle 12 and angle 13 are called ________________________.
Complete a two column proof for each of the following.
I. Given: C is the midpoint of AE
AB  CD , BC  DE
Prove: B  D
II. Given: AC = BD
Prove: AB = CD
III. Given: a parallel to b, t is a transversal
3  5
Prove:
4  6
1. Rewrite the following statement if “if-then” form: Collinear points are coplanar.
2. Write the converse of the above statement.
3. Is the converse true? If not, provide a counter example.
4. Rewrite the following bi-conditional statement as both a conditional statement and its
converse: Two angles are supplementary if and only if the sum of their measures is 180o.
5. If you are given the following statement, “If a figure is a triangle, then it has three sides” and it
is true that the figure is a triangle, what conclusion can you make? Which law of reasoning did
you use?
6. If you are given the following statement, “If you live in West Windsor then you go to High
School South” and it is true that Joe goes to High School South, what conclusion can you make?
Which law of reasoning did you use?
Solve for the variable(s) in each of the following. Show your work.
1.
4.
2.
3.
5.
6. Find the range of x.
7.
10.
8.
9.
11.
12.
13. Write the equation of the line parallel to 2x + 4y = 8 that contains the point (6, 2) in slopeintercept form (y = mx + b).
14. Write an equation of the perpendicular bisector of the segment with endpoints (3, 3) and
(7, 5).