Which of these sequences of transformations would not return a shape to its original position?

Rotate 120 degrees counterclockwise around Center C, then rotate 220 degrees counterclockwise around C again.

Translate 3 units up, then 3 units down

Reflect over line p, then reflect over line p again

Translate 1 unit to the right, then 4 units to the left, then 3 units to the right

Which of the following transformations proves Figure A is congruent to Figure B?

Translate Figure A 3 units right, and then reflect it across the x -axis.

Translate Figure A 3 units right and 2 units down.

Reflect Figure A across the y -axis , and then translate it 3 units right.

Reflect Figure A across the x-axis, and then translate it 3 units left.

Which set of transformations proves figure PQRS is congruent to figure TUVW?

a translation of 1 unit up and 8 units to the right, and then a reflection over the x -axis

Which set of transformations proves figure PQRS is congruent to figure TUVW?

a translation of 1 unit to the right, and then a rotation of 180° about the origin

a reflection over the y -axis, and then a 270° counterclockwise rotation about the origin

Determine how to translate triangle ABC to triangle A'B'C'.

2 units to the left, 9 units up

2 units to the right, 5 units down

2 units to the right, 9 units down

2 units to the left, 5 units down

Tell whether the two figures are congruent .

No, same shape but different sizes

No, different size and different shapes

Identify the transformation.

Translation 5 units left, 1 unit up.

Translation 5 units right, 1 unit down

What is the sequence of transformations for the image given?

Reflect over the x-axis then translate right

Reflect over the x-axis, translate left

Reflect over the y-axis then translate right and up

Translate down 4 and to the right 5

Select all the true statements.

Two rectangles with the same side lengths are always congruent.

Two squares with the same side lengths are always congruent.

Two rhombuses with the same side lengths are always congruent.

Two parallelograms with the same side lengths are always congruent.

Which of these sequences of transformations would not return a shape to its original position? Select your answer.

Rotate 120 counterclockwise around center C, then rotate 220 counterclockwise around C again.

Reflect over line p, then reflect over line p again.

Translate 3 units up, then 3 units down.

Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

Diego made the shape on the left, and Elena made the shape on the right. Each shape uses 5 circles. Select all the true statements.

The smallest circle in Diego's design is congruent to the smallest circle in Elena’s design.

Elena’s design is a translation of Diego's design.

Diego’s design is congruent to Elena’s design.

Which of the following is a great strategy for determining if shapes are congruent. Select all strategies that will work.

Using tracing paper and a sequence of rigid transformations

Measuring angles and sides to make sure they match.

Just look at it you can always tell right away.

If you have a parallelogram, how can you use what you know about angles in a triangle to find the angles in the parallelogram?

The angles in a triangle have to equal 180 and there are two triangles in a parallelogram so that must equal 360.

Parallelograms have parallel lines so the angles are 180.

Triangles and parallelograms are the same.

The preimage above is rotated 90 o counterclockwise. How do the side lengths in the preimage compare to the side lengths in the image?

The measures of the side lengths are the same.

Some of the side lengths increase in measure and other side lengths decrease in measure.

The measures of the side lengths double.

The measures of the side lengths decrease by one third.

Unit 1 Rigid Transformations & Congruence Test

Authored by Rodney Morgan

Mathematics

8th Grade

CCSS covered

Used 10+ times

Unit 1 Rigid Transformations & Congruence Test

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49 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What move is demonstrated in the picture?

Translation

Reflection

Rotation

Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Translation

Reflection

Rotation

Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Angle AEC and Angle DEB are what type of angles?

Adjacent Angles

Vertical Angles

Alternate Interior Angles

Alternate Exterior Angles

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How many degrees is angle AED?

50 degrees

90 degrees

150 degrees

130 degrees

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Angle AEC and Angle AED are what kind of angles?

Adjacent Angles

Vertical Angles

Alternate Exterior Angles

Alternate Interior Angles

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Angle AEC and Angle AED are what kind of angles?

Adjacent Angles

Vertical Angles

Alternate Exterior Angles

Alternate Interior Angles

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

37 degrees

53 degrees

127 degrees

147 degrees

Tags

CCSS.7.G.B.5

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Unit 1 Rigid Transformations & Congruence Test

What move is demonstrated in the picture?

Angle AEC and Angle DEB are what type of angles?

How many degrees is angle AED?

Angle AEC and Angle AED are what kind of angles?

Angle AEC and Angle AED are what kind of angles?

How did Shape A move to get to Shape B?

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