Download Using Algeblocks to Multiply Binomials, Part I

Test #6/7, Form A
Geometry
1. Which of the following will NOT
determine a plane
A. two skew lines
B. two intersecting lines
C. two parallel lines
D. a line and a point not on the line
E. the vertices of a triangle
2. What is the maximum number of
planes that can be determined by four
points?
A. 2
B. 4
C. 6
D. 8
E. none of the above
3. A line is perpendicular to a plane if
A. the line is perpendicular to some
line in the plane
B. the line is parallel to a line in the
plane
C. the line is perpendicular to two
intersecting lines in the plane
D. the line lies in a plane with a 90degree angle of incidence
E. the line is perpendicular to two
parallel lines in the plane
Name:
Date:
Use the following proof (of the No-Choice
Theorem) to answer questions 5-8.
1.
2.
3.
4.
5.
6.
7.
8.
9.
A  D
B  E
mA = mD
mB = mE
mA+mB+mC = 180
mD+mE+mF = 180
mC - mF = 0
mC = mF
C  F
1. Given
2. Given
3.
4.
5.
6.
7.
8. Algebra (7)
9.
5. The reason for statement #3 is
A. definition of angle congruence (1)
B. definition of angle congruence (2)
C. transitive property (1, 2)
D. substitution property (1, 2)
E. none of the above
6. The reason for statement #5 is
A. assumed from diagram
B. the sum of the angles of a triangle is 180
C. definition of supplementary
D. CPCTC
E. none of the above
7. The reason for statement #7 is
A. transitive property (5, 6)
B. substitution property (5, 6)
C. subtraction property (5, 6)
D. definition of angle congruence (1, 2)
E. none of the above
8. The reason for statement #9 is
4. What is the term for the point at which
a line intersects a plane?
A. base
B. corner
C. edge
D. foot
E. none of the above
A. CPCTC (1, 2, 8)
B. ASA (1, 2, 8)
C. if sides, then angles (8)
D. definition of angle congruence (8)
E. none of the above
9. How many vertices has a tetradecagon?
A. 14
B. 15
C. 20
D. 25
E. 40
10. What is the term for a polygon that is
both equilateral and equiangular?
A. duo-equal
B. regular
C. square
D. ubiquitous
E. none of the above
The Giant Polygon
11. A given convex polygon contains an unknown number of sides.
a. Determine, if possible, the sum of all exterior angles of the polygon (one per vertex).
b. The number of diagonals is known to be a multiple of the number of sides. Determine all
possible types of polygons that satisfy this condition.
c. The sum of the measures of the interior angles of the polygon is 1980. Determine the
number of sides in the polygon, showing all appropriate reasoning.
Polygons in the Neighborhood
12. Several regular polygons have recently moved into the neighborhood. You cannot
remember who lives in which house, but you did write down some information about each
one.
a. Two doors down from you lives a regular polygon that does not have an integral number
of degrees in an interior angle, and it has the fewest sides of any polygon with this property.
Give the formal name for this polygon, showing all appropriate reasoning.
b. Across the street lives a regular polygon that has an integral number of degrees in an
exterior angle, and the degree measure of this exterior angle is less than the number of sides
of the polygon. The polygon has the fewest sides of any polygon with this property. Give
the formal name for this polygon, showing all appropriate reasoning.
c. In the cul-de-sac lives a regular polygon that has six times as many diagonals as it has
sides. Give the formal name for this polygon, showing all appropriate reasoning.
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GEOMETRY, TEST 6/7
1
A 
B 
C 
D 
E
5
A 
B 
C 
D 
E
2
A 
B 
C 
D 
E
6
A 
B 
C 
D 
E
3
A 
B 
C 
D 
E
7
A 
B 
C 
D 
E
4
A 
B 
C 
D 
E
8
9
10
A 
B 
C 
D 
E

A 
B 
C 
D 
E

A 
B 
C 
D 
E

GEOMETRY, TEST 6/7
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