NY-G.CO.6

GeometryCongruence60 target questions

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures use the definition of congruence in terms of rigid motions to decide if they are congruent.

Sample Practice Questions (3)

Triangle

A B C

is graphed on the coordinate plane below. If

△ A B C

is reflected over the y-axis to create

△ A^{'} B^{'} C^{'}

, which statement is always true?

AThe area of

△ A B C

is equal to the area of

△ A^{'} B^{'} C^{'}

BThe coordinates of

A^{'}

are the same as the coordinates of

A

CThe slope of

\overline{A B}

is equal to the slope of

\overline{A^{'} B^{'}}

△ A B C

and

△ A^{'} B^{'} C^{'}

have different orientations but different perimeters.

The figure below shows

△ L M N

. If

△ L M N

is translated by

T_{- 3, 2}

and then reflected over the line

y = x

, what are the coordinates of the final image of point

M

(3, 2)

(2, 3)

(- 3, 2)

(5, 1)

Given

△ A B C ≅ △ D E F

, which statement must be true based on the definition of congruence in terms of rigid motions?

∠ A ≅ ∠ D

A B ≅ E F

m ∠ B = m ∠ F

DArea of

△ A B C = 2 \times

Area of

△ D E F

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