NY-8.G.1

8th GradeGeometry70 target questions

Verify experimentally the properties of rotations reflections and translations: lines are taken to lines and line segments to line segments of the same length; angles are taken to angles of the same measure; parallel lines are taken to parallel lines.

Sample Practice Questions (3)

Which transformation maps triangle ABC to triangle A'B'C' by sliding it without turning or flipping?

ATranslation

BReflection

CRotation

DDilation

Line segment

\overline{P Q}

has endpoints P(1,2) and Q(3,2). It is rotated

9 0^{\circ}

clockwise about the origin to form line segment

\overline{P^{'} Q^{'}}

. Which statement is true about the image

\overline{P^{'} Q^{'}}

\overline{P^{'} Q^{'}}

is a point.

\overline{P^{'} Q^{'}}

is a line segment with a length different from

\overline{P Q}

\overline{P^{'} Q^{'}}

is a line segment with the same length as

\overline{P Q}

\overline{P^{'} Q^{'}}

is a ray.

Triangle

A B C

has vertices

A (1, 1)

B (1, 4)

, and

C (3, 1)

. It is transformed to create triangle

A^{'} B^{'} C^{'}

with vertices

A^{'} (- 1, 1)

B^{'} (- 1, 4)

, and

C^{'} (- 3, 1)

. Which property was verified by this transformation?

AThe transformation is a dilation because the lengths changed.

BThe transformation is a reflection across the

y

-axis, and segment lengths were preserved.

CThe transformation is a translation, and the angles were doubled.

DThe transformation is a rotation, and the orientation remained the same.

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