Name: ________________________ Class: ___________________ Date: __________
ID: A
6.4 Special Parallelograms Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are AB = 10 inches and AC = 14 inches. Find BX .
a.
b.
c.
d.
____
BX
BX
BX
BX
= 7 inches
= 10 inches
= 5 inches
= 14 inches
2. TRSU is a rhombus. Find SU .
a.
b.
c.
d.
SU
SU
SU
SU
=7
=1
=5
=3
____
3. Lucinda wants to build a square sandbox, but has no way of measuring angles. Explain how she can make
sure that the sandbox is square by only measuring length.
a. Arrange four equal-length sides so the diagonals bisect each other.
b. Arrange four equal-length sides so the diagonals are equal lengths also.
c. Make each diagonal the same length as four equal-length sides.
d. Not possible; Lucinda has to be able to measure a right angle.
____
4. A quadrilateral whose diagonals bisect each other and are perpendicular is a
a. rhombus
b. rectangle
c. trapezoid
d. parallelogram
1
Name: ________________________
ID: A
Short Answer
5. Show that all four sides of square ABCD are congruent (using the distance formula) and that AB ⊥ BC (using
the slope formula)
AB = _________
Slope of AB = ________
BC = _________
Slope of BC = ________
CD = _________
DA = _________
.
2
Name: ________________________ Class: ___________________ Date: __________
ID: B
6.4 Special Parallelograms Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are AB = 10 inches and AC = 14 inches. Find BX .
a.
b.
c.
d.
____
BX
BX
BX
BX
= 10 inches
= 14 inches
= 7 inches
= 5 inches
2. TRSU is a rhombus. Find SU .
a.
b.
c.
d.
SU
SU
SU
SU
=3
=1
=5
=7
____
3. Lucinda wants to build a square sandbox, but has no way of measuring angles. Explain how she can make
sure that the sandbox is square by only measuring length.
a. Arrange four equal-length sides so the diagonals are equal lengths also.
b. Arrange four equal-length sides so the diagonals bisect each other.
c. Make each diagonal the same length as four equal-length sides.
d. Not possible; Lucinda has to be able to measure a right angle.
____
4. A quadrilateral whose diagonals bisect each other and are perpendicular is a
a. rectangle
b. trapezoid
c. parallelogram
d. rhombus
1
Name: ________________________
ID: B
Short Answer
5. Show that all four sides of square ABCD are congruent (using the distance formula) and that AB ⊥ BC (using
the slope formula)
AB = _________
Slope of AB = ________
BC = _________
Slope of BC = ________
CD = _________
DA = _________
.
2
Name: ________________________ Class: ___________________ Date: __________
ID: C
6.4 Special Parallelograms Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are AB = 10 inches and AC = 14 inches. Find BX .
a.
b.
c.
d.
____
BX
BX
BX
BX
= 14 inches
= 10 inches
= 5 inches
= 7 inches
2. TRSU is a rhombus. Find SU .
a.
b.
c.
d.
SU
SU
SU
SU
=5
=7
=1
=3
____
3. Lucinda wants to build a square sandbox, but has no way of measuring angles. Explain how she can make
sure that the sandbox is square by only measuring length.
a. Arrange four equal-length sides so the diagonals bisect each other.
b. Arrange four equal-length sides so the diagonals are equal lengths also.
c. Not possible; Lucinda has to be able to measure a right angle.
d. Make each diagonal the same length as four equal-length sides.
____
4. A quadrilateral whose diagonals bisect each other and are perpendicular is a
a. trapezoid
b. rectangle
c. rhombus
d. parallelogram
1
Name: ________________________
ID: C
Short Answer
5. Show that all four sides of square ABCD are congruent (using the distance formula) and that AB ⊥ BC (using
the slope formula)
AB = _________
Slope of AB = ________
BC = _________
Slope of BC = ________
CD = _________
DA = _________
.
2