Download Using Algeblocks to Multiply Binomials, Part I

Test #5, Form A
Geometry
1. If the two diagonals of a quadrilateral
bisect each other, the quadrilateral must be
A. a kite
B. a parallelogram
C. a rectangle
D. a rhombus
E. a square
2. If the diagonals of a quadrilateral are
perpendicular, the quadrilateral must be
A. a kite
B. a parallelogram
C. a rectangle
D. a rhombus
E. a square
3. If the two diagonals of a quadrilateral
divide the quadrilateral into four congruent
triangles, the quadrilateral must be
A. a kite
B. a parallelogram
C. a rectangle
D. a rhombus
E. a square
4. By definition, a square is both
A. a parallelogram and a trapezoid
B. a kite and a parallelogram
C. a rhombus and a rectangle
D. a trapezoid and a rhombus
E. none of the above
Name:
Date:
Use the following proof (that if parallelogram
PRLG is inscribed in circle O, it is a rectangle) to
answer questions 5-8.
1. PRLG is a parallelogram 1. Given
2. circle O
2. Given
3. PRL supp GLR
3.


4. PR  GL
4.


5. RL  RL
5.


6. PO  GO
6.


7. OL  OR
7.


8. PL  GR
8.
9. PRL  GLR
9. SSS (4, 5, 8)
10. PRL  GLR
10. CPCTC
11. PRL is a right angle
11.
12. PRLG is a rectangle
12. Defn. rectangle
5. The reason for statement #4 is
A. definition of midpoint
B. opp. sides of parallelogram are 
C. radii of same circle are 
D. alternate interior angles are 
E. none of the above
6. The reason for statement #5 is
A. diagonals of a parallelogram bisect each
other
B. reflective property
C. if “angles,” then “sides”
D. CPCTC
E. none of the above
7. The reason for statement #8 is
A. diagonals of a parallelogram are 
B. addition property
C. radii of same circle are 
D. CPCTC
E. none of the above
8. The reason for statement #11 is
A. definition of perpendicular
B. angles that are supplementary and
congruent are right angles
C. angles inscribed in a semicircle are
right angles
D. HL
E. none of the above
9. Which of the following will not justify
that ABCD is a parallelogram?




A. AB  CD and BC  DA
 
 
B. AB  CD and BC  DA


 
C. AB  CD and AB  CD




D. AC  BD and AC bisects BD
E. A  C and B  D
10. A quadrilateral has consecutive angles
measuring 40, 140, 40, and 140. The
quadrilateral must be a
A. kite
B. parallelogram
C. rectangle
D. rhombus
E. none of the above
Equi-Anything-al Figures
11. Polygons with all sides congruent are called equilateral. Polygons with all angles
congruent are called equiangular.
a. Give an example of a polygon that is equiangular but not equilateral.
b. Give an example of a polygon that is equilateral but not equiangular.
c. “Equi-gons” are polygons that satisfy the following condition: an equi-gon is equilateral if
and only if it is equiangular. Describe the type(s) of polygons that are equi-gons.
Trapezoids in Triangles
12. Extending the sides of a trapezoid to form a triangle is a common way to prove
statements about trapezoids.
a. Draw a diagram showing a trapezoid with extended sides, forming a triangle around the
trapezoid. Identify all statements that would be considered “given.” (Note: do not consider
the trapezoid as given; use the fact(s) that make the trapezoid a trapezoid instead.)
b. Write a two-column proof showing that if the base angles of the triangle are congruent,
then two sides of the trapezoid are congruent. (This justifies that congruent base angles in a
trapezoid makes the trapezoid isosceles.) Note that no properties of quadrilaterals are
needed to complete this proof!
11
..
1
2
3
4
A 
B 
C 
D 
E

A 
B 
C 
D 
E

A 
B 
C 
D 
E

A 
B 
C 
D 
E

GEOMETRY, TEST 5
5
A 
B 
C 
D 
E
6
A 
B 
C 
D 
E
7
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 5
12
..