Download Chapter 1 Test Review

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Chapter 1 Review Sheet
Date: ____________________________
Geometry Advanced
Chapter 1 Key Topics
Section 1.1
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Section 1.2
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Visual and number patterns
Steps of Inductive Reasoning
Making conjectures and finding
counterexamples
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Section 1.3
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Section 1.4
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Segment Addition Postulate
Distance Formula
Section 1.5
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Point, line, plane, ray, initial point,
opposite rays, segments and endpoints
collinear, coplanar
intersections
sketches
Angles: acute, obtuse, right, straight
Angle Addition Postulate
Section 1.6
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Midpoint Formula
Segment and angle bisectors
Congruence
Vertical angles, linear pairs
Complementary angles, supplementary
angles
Section 2.1 – 2.2
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Conditional, inverse, converse, contrapositive, and biconditional statements
ALGEBRA SKILLS YOU NEED TO KNOW:
1. Factoring
2. Systems of Equations
3. Simplifying Radicals
Chapter 1 Practice
1. Describe the pattern and predict the next 2 terms.
a. -2, -7, -17, -32, …
b. 0, 2, 6, 14, 30, …
2. Draw the next figure in the pattern.
,
,
,…
3. Complete the sentence.
a. If three points lie on the same line, then they are _________________.
b. If two angles have a sum of 90 degrees, then they are ________________.
4. Write the converse, inverse, and contrapositive of the statement for 3a.
5. a. Make a conjecture based on the results.
b. Show the conjecture is false.
Given points A, B, C, and D with AB, BC , CD, and DA drawn the result is always a 4-sided shape.
6. Draw 5 coplanar points, A, B, C, D, and E so that BA and BC are opposite rays, and DE intersects
AC at B.
7. Given two points A (5, -3) and B (-3, 1), find
a) the midpoint of AB
b) the length of AB
8. Given the midpoint M (-8, 11) of FE and endpoint E (2, -7), find the coordinates of the other endpoint F.
(Show the algebraic steps. In other words, do not just count)
9. Use the figure to the right to answer questions a – c.
a. Name 4 points that are not coplanar.
b. Name 3 points that are coplanar but not collinear.
c. Name 2 lines are intersect but are not coplanar.
10. For questions a – c, use the diagram shown.
a. If m  KJM = 145o, m  KJL = 6xo, and m  LJM = (3x + 10)o, find x.
b. If m  KJM = (3x2 – 2x)o, m  KJL = (x2 + 11)o, and m  LJM = (3x + 1)o, find x.
(Make sure your answer is reasonable!)
11. BT bisects  ABC. Find x.
12. S is between T and V. R is between S and T. T is between R and Q.
QV = 23, QT = 8, and TR = RS = SV.
Find RS, QS, and TS.
RS = ______
QS = ______
TS = ______
13. Use the figure to the right to answer a – c.
a. List all pairs of vertical angles.
b. List all angles that are linear pairs.
c. If m  9 = 36o what are the measures of the other 3 angles?
14. Find the value of the variables.
15.  A and  B are complementary. Find m  A and m  B if m  A = (x2 – 19)o and m  B = (8x + 4)o
16. The measure of an angle is 5 less than 4 times the measure of its supplement.
Find the measure of both angles.
17. Write the following statement into if-then format. Write a converse of the statement. Determine if the
converse is true or false. If converse is true, write a biconditional of the statement. If converse is false,
show it is false by counterexample.
Two line segments with the same length are also congruent.