NY-G.CO.4

GeometryCongruence60 target questions

Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.

Sample Practice Questions (3)

A rotation of

θ

degrees about a center point

C

maps point

P

P^{'}

. If

P

is not the same point as

C

, which geometric figure is formed by all possible locations of

P^{'}

θ

varies from

0^{\circ}

36 0^{\circ}

AA circle with center

C

and radius

C P

BA line segment with midpoint

C

CA parabola with vertex

C

DA perpendicular bisector of

C P

Multiple choice · diagramSee Answer + Explanation →

In the coordinate plane, a reflection across line

m

maps point

A

to point

A^{'}

. Which of the following statements must be true according to the precise definition of a reflection?

ALine

m

is the perpendicular bisector of segment

A A^{'}

BLine

m

is parallel to segment

A A^{'}

CSegment

A A^{'}

is the diameter of a circle centered on line

m

DThe distance from

A

to the origin is equal to the distance from

A^{'}

to the origin.

Multiple choice · diagramSee Answer + Explanation →

A reflection maps point

A

to point

A^{'}

across line

m

. According to the geometric definition of a reflection, which statement must be true regarding line

m

and the segment

\overline{A A^{'}}

ALine

m

is parallel to

\overline{A A^{'}}

BLine

m

is the perpendicular bisector of

\overline{A A^{'}}

CLine

m

passes through the midpoint of

\overline{A A^{'}}

but is not necessarily perpendicular.

DLine

m

is perpendicular to

\overline{A A^{'}}

but does not necessarily bisect it.

Multiple choice · diagramSee Answer + Explanation →

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More Geometry Standards

NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.5Given a geometric figure and a rotation reflection or translation draw the transformed figure using appropriate tools. Specify a sequence of transformations that will carry a given figure onto another.→

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