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GEOMETRY 202
Chapter 1 Test Review
______________________
Points, Lines, Planes and Angles
Vocabulary Review:
1. Two lines are _____________ if they intersect to form a right angle.
2. Two angles are ______________ if their measures have a sum of 90°.
3. When two rays intersect with a common endpoint a(n) ________________ is formed.
4. The ________________ is the point located halfway between the endpoints of a
segment.
5. ___________________ are nonadjacent angles formed by the intersection of two lines.
6. A(n) ________________ divides an angle into two congruent angles.
7. Two angles are __________________ if their measures have a sum of 180°.
8. Two angles that lie in the same plane are called ___________________ if they share a
common side and vertex, but no common interior points.
9. A(n) ___________________ is an angle whose measure is less than 90°.
10. Two segments are __________________ if they have the same measure.
Draw the following:
1. Two intersecting planes
2. Two planes that do not intersect
3. Three non-collinear points
4. Four non-coplanar points
5. Two intersecting lines that are co-planar
6. Three coplanar lines that do not intersect
Find the precision of a measuring tool with the following unit measures.
1. A ruler that measures by the ¼ in.
2. A ruler that measures by the ½ in.
Find the measure, precision, and range of precision for the following measurements.
Measure:
Precision:
Range of Precision:
Measure:
Precision:
Range of Precision:
Solve for x.
A
B
1. AB=3x, BC= 8x+2, AC=24
2. AB=2x-5, BC=8-x, AC=6
If M is the midpoint of LN . Find the missing coordinates.
1. L(5,2) M(x,y) N(-3,8)
2. L(8,-1) M(6,0) N(x,y)
3. L(x,y) M( ½, -4) N (3,2)
C
Find the perimeter of ΔABC. Leave the answer in reduced radical form.
1. A(0,6) B(-6,2), C(8,4)
2. A(1,3), B(6,-2), C(1,-2)
Use the figure to the right to answer the following questions. Also, DH
AC.
1.______________Name 2 right angles
2.______________Name 2 vertical angles
D
F
E
3.______________Name 2 adjacent angles
4.______________Name a linear pair
5.______________Name 2 acute angles
B
A
C
6.______________Name 2 obtuse angles
7.______________Name 2 complementary angles
G
8.______________Name 2 supplementary angles
I
H
9.______________Name 2 straight angles
10.______________Name the sides of
BAG
11.______________Name the vertex of
DAE
12.______________If AE bisects
DAC, what conclusion can you make?
13. _____________ Give another name for
GAH.
14. An angle is 12 degrees more than its complement. Find the measure of the complement.
Use the figure to the right to answer the next set of questions.
1._________________Name 3 planes
2._________________Name 3 lines
3._________________Name 3 coplanar points
4._________________Name 4 coplanar points
5._________________Name 4 non-coplanar points
6._________________Can you name 3 non-coplanar points?
7._________________Name 2 collinear points
8._________________Can you name 2 non-collinear points?
Use the figure to the right for the next set of questions.
1.________________ How many planes do you see?
2.________________Name them.
3.__(True or False)__HG is contained by plane DCE
4.__(True or False)_CD is contained by plane DCE
5.__(True or False)_Points C,D,&E are collinear
6._(True or False)_Points F & H are collinear
7. _____________ Give another name for GH
8. ______________Give another name for plane CDE
9.______________Where do plane DCE and GI intersect?
10. An angle is 15 degrees less than twice its complement. Find the angles.
11. Find two supplementary angles if one is four times the other.