MA.912.G.3.3: Use coordinate geometry to prove properties of congruent, regular, and similar quadrilaterals

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Geometry Mini-Lesson
On the coordinate plane at right quadrilateral
PQRS has vertices with integer coordinates.Quadr
ilateral EFGH is congruent to quadrilateral PQRS.
Which of the following could be possible
coordinates for point G?

1. (1, -2)
2. (1, 4)
3. (-2, -4)
4. (-2, -10)

MA.912.G.3.3 Use coordinate geometry to prove
properties of congruent, regular, and similar
quadrilaterals
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Geometry Mini-Lesson
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?"

1. Yes, it is a regular quadrilateral because all
   sides are the same length.
2. Yes, it is a regular quadrilateral because the
   diagonals are perpendicular.
3. No, it is not a regular quadrilateral because
   RSTU is not a parallelogram.
4. 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
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Geometry Mini-Lesson
Quadrilateral QRST and quadrilateral WXYZ, shown
at right, both have integer coordinates.Are
quadrilateral QRST and quadrilateral WXYZ similar
quadrilaterals?

1. Yes, both are rectangles.
2. No, although the corresponding angles are
   congruent, the rectangles are not the same size.
3. Yes, corresponding angles are congruent and
   corresponding sides have the same scale factor.
4. 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
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Geometry Mini-Lesson
Quadrilateral MNOP is similar to quadrilateral
QRST. Which of the following could be possible
coordinates for point R?

1. (0, -6)
2. (0, 0)
3. (2, -6)
4. (5, -6)

MA.912.G.3.3 Use coordinate geometry to prove
properties of congruent, regular, and similar
quadrilaterals
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Geometry Mini-Lesson
Quadrilateral TUVW is similar to quadrilateral
HIJK. Which of the following could be possible
coordinates for point W ?

1. (0, 6)
2. (2, 6)
3. (4, 4)
4. (7, 5)

MA.912.G.3.3 Use coordinate geometry to prove
properties of congruent, regular, and similar
quadrilaterals
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Geometry Mini-Lesson
Quadrilateral HIJK and quadrilateral LMNO, shown
below, both have integer coordinates.Are
quadrilateral HIJK and quadrilateral LMNO
similar quadrilaterals?

1. Yes, both are rectangles.
2. No, although the corresponding angles are
   congruent, the rectangles are not the same size.
3. Yes, corresponding angles are congruent and
   corresponding sides have the same scale factor.
4. 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
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Geometry Mini-Lesson
Which of the following arguments correctly
answers and justifies the question"Is
quadrilateral DEFG a regular quadrilateral?"

1. Yes it is a regular quadrilateral because all
   sides are the same length.
2. No, it is not a regular quadrilateral because
   opposite sides are parallel.
3. Yes, it is a regular quadrilateral because the
   diagonals are perpendicular.
4. 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
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Geometry Mini-Lesson
Quadrilateral WXYZ is congruent to quadrilateral
ABCD. Which of the following could be possible
coordinates for point Y?

1. (-3, 2)
2. (-3, -8)
3. (-6, -1)
4. (-6, -11)

MA.912.G.3.3 Use coordinate geometry to prove
properties of congruent, regular, and similar
quadrilaterals