Download MA.912.G.3.3

On the coordinate plane at right
quadrilateral PQRS has vertices with
integer coordinates.
Quadrilateral EFGH is congruent to
quadrilateral PQRS. Which of the
following could be possible coordinates
for point G?
A.(1, −2)
B. (1, 4)
C. (−2, −4)
D.(−2, −10)
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals
Quadrilateral RSTU, shown at right, has
integer coordinates.
Which of the following arguments
correctly answers and justifies the
question: "Is quadrilateral RSTU a
regular quadrilateral?"
A. Yes, it is a regular quadrilateral
because all sides are the same length.
B. Yes, it is a regular quadrilateral
because the diagonals are
perpendicular.
C. No, it is not a regular quadrilateral
because RSTU is not a parallelogram.
D. No, it is not a regular quadrilateral
because the diagonals are not the
same length.
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals
Quadrilateral QRST and quadrilateral
WXYZ, shown at right, both have integer
coordinates.
Are quadrilateral QRST and
quadrilateral WXYZ similar
quadrilaterals?
A. Yes, both are rectangles.
B. No, although the corresponding
angles are congruent, the rectangles
are not the same size.
C. Yes, corresponding angles are
congruent and corresponding sides
have the same scale factor.
D. No, although the corresponding
angles are congruent, quadrilateral
WXYZ is not a reflection of
quadrilateral QRST.
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals
Quadrilateral MNOP is similar to
quadrilateral QRST. Which of the following
could be possible coordinates for point R?
A.(0, −6)
B.(0, 0)
C.(2, −6)
D.(5, −6)
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals
Quadrilateral TUVW is similar to quadrilateral
HIJK. Which of the following could be possible
coordinates for point W ?
A. (0, 6)
B. (2, 6)
C. (4, 4)
D. (7, 5)
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals
Quadrilateral HIJK and quadrilateral LMNO,
shown below, both have integer coordinates.
Are quadrilateral HIJK and quadrilateral
LMNO similar quadrilaterals?
A. Yes, both are rectangles.
B. No, although the corresponding
angles are congruent, the
rectangles are not the same size.
C. Yes, corresponding angles are
congruent and corresponding sides
have the same scale factor.
D. No, although the corresponding
angles are congruent, quadrilateral
LMNO is not a reflection of
quadrilateral HIJK.
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals
Which of the following arguments correctly
answers and justifies the question:
"Is quadrilateral DEFG a regular
quadrilateral?"
A. Yes it is a regular quadrilateral because
all sides are the same length.
B. No, it is not a regular quadrilateral
because opposite sides are parallel.
C. Yes, it is a regular quadrilateral because
the diagonals are perpendicular.
D. No, it is not a regular quadrilateral
because the diagonals are not the
same length.
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals
Quadrilateral WXYZ is congruent to quadrilateral
ABCD. Which of the following could be possible
coordinates for point Y?
A. (−3, 2)
B. (−3, −8)
C. (−6, −1)
D. (−6, −11)
MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and
similar quadrilaterals