Understanding congruency

Match the transformations to the triangles:

• Rotate 90 degrees counter-clockwise

• Reflect over x=0

• Rotate 270 degrees counter-clockwise

• Reflect over the line y=4

• Reflect over the y=0

Tags

CCSS.MATH.CONTENT.HSG.CO.A.5

Are the figures congruent?

(What type of transformation is shown?)

• NOT Congruent (dilation)

• NOT Congruent (translation)

• Congruent (dilation)

• Congruent (translation)

Which types of transformations are congruent after the movement?

• Rotations
• Reflections
• Translations
• Dilations

Which transformation(s) create congruent figures?

• Dilation
• Translation

• Reflection

• Rotation

The red figure is congruent to the blue figure.

Pick the correct sequence of rigid motions.

• Reflect red figure over x – axis & translate left 3.

• Reflect red figure over y – axis & translate left 1, down 4.

• Rotate red figure 180° CW.

Which transformation was applied to figure A to form figure B?

• Figure A was reflected across line m to form figure B.

• Figure A was translated 8 units right and 6 units up to form figure B.

• Figure A was rotated 90° clockwise about point N to form figure B.

• Figure A was translated 6 units right and 8 units up to form figure B.

What single transformation was applied to Figure A to get Figure B?

• Translation

• Rotation

• Reflection

Which series of transformations does NOT prove that triangle in figure A is congruent to the triangle in figure A' ?

• a reflection across the x-axis followed by a 90° clockwise rotation about the origin

• a reflection across the y-axis followed by a 180° clockwise rotation about the origin

• a reflection across the y-axis followed by a 90° counterclockwise rotation about the origin

• a reflection across the x-axis followed by a 270° counterclockwise rotation about the origin

Which transformation does not produce an image that is congruent to the original?

• A dilation of scale factor 1 centered at (2,4)

• A dilation of scale factor ½ centered at the origin

• A reflection over y = 4x

• A rotation of 270 degrees followed by a translation down 2

For each pair of figures, decide whether you can take figure A to figure B by a translation, a rotation, or a reflection.

• translation
• rotation
• reflection