7Acc 11-4 Compose Transformations

Which of the following is the description of the rigid motions which map ΔEFG to Δ​MNO?

• A translation 4 units to the left and 5 units​ down, followed by a reflection across the​ y-axis

• A translation 4 units to the left and 5 units​ down, followed by a reflection across the​ x-axis

• A translation 5 units to the left and 4 units​ down, followed by a reflection across the​ y-axis

• A translation 5 units to the left and 4 units​ down, followed by a reflection across the​ x-axis

Describe a sequence of transformations that maps ΔDEF to ΔD′E′F′.

• A reflection across the​ x-axis followed by a translation 4 units left and 5 units up

• A reflection across the​ y-axis followed by a translation 1 unit left and 1 unit down

• A 90° rotation followed by a translation 1 unit left and 1 unit down

• A translation 5 units left and 1 unit down

Describe a sequence of transformations that maps quadrilateral ABCD to quadrilateral A′B′C′D'.

• A rotation of 180° about the origin followed by a translation 3 units left and 7 units up.

• A reflection across the​ line x = -2 and a translation 2 units left.

• A rotation of 180° about the origin followed by a translation 2 units right and 7 units up.

• A translation 5 units left and 1 unit down

Describe a sequence of transformations that maps quadrilateral ABCD to quadrilateral A′B′C′D'.

• A rotation of 180° about the origin followed by a translation 3 units left and 7 units up.

• A reflection across the​ line x = -2 and a translation 2 units left.

• A rotation of 180° about the origin followed by a translation 2 units right and 7 units up.

• A translation 5 units left and 1 unit down

Describe a sequence of transformations that maps ΔXYZ to ΔX′Y′Z′.

• A reflection across the​ x-axis followed by a translation 8 units left and 1 unit up

• A reflection across the​ y-axis followed by a translation 3 units right and 6 units down

• A translation 7 units left and 6 units down

• A 90° rotation followed by a translation 3 units left and 6 units down

A small store is rearranging its furniture. Describe the sequences of transformations the employees can use to rearrange the furniture.

• They can use​ translations, rotations,​ and/or reflections. There are no limits to the way the furniture can be arranged.

• They can only use rotations. A piece of furniture cannot be translated or reflected in the real world.

• They can only use translations. A piece of furniture cannot be rotated or reflected in the real world.

• They can use translations​ and/or rotations.​ However, they cannot use reflections. A piece of furniture cannot be reflected in the real world.

Describe the sequence of rigid motions that maps figure ABCD to HIJK.

• A reflection across the​ x-axis followed by a translation of 4 units to the left and 2 units down

• A reflection across the​ x-axis followed by a translation of 5 units to the left and 3 units down

• A reflection across the​ y-axis followed by a translation of 4 units to the left and 2 units down

• A reflection across the​ y-axis followed by a translation of 3 units to the left and 4 units down

What sequence of transformations maps ΔQRS to Δ​ABC?

• A reflection across the​ x-axis, followed by a rotation of 90° about the​ origin, and then a translation 3 units down

• A reflection across the​ x-axis, followed by a rotation of 90° about the​ origin, and then a translation 3 units right

• A rotation of 90° about the​ origin, followed by a translation 3 units​ right, and then a reflection across the​ y-axis

• A rotation of 90° about the​ origin, followed by a translation 3 units​ left, and then a reflection across the​ y-axis

Describe a sequence of transformations that maps figure A onto figure B.

• A translation 4 units right followed by a reflection across the x-axis
• A reflection across the x-axis followed by a reflection across the y-axis
• A reflection across the y-axis followed by a translation 6 units down
• A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis

Describe a sequence of transformations that maps 
Triangle ABC onto Triangle A"B"C".

• A 180° rotation about the Origin followed by a reflection across the y-axis
• A reflection across the y-axis followed by a reflection across the x-axis and another reflection across the y-axis
• A translation 8 units right and 6 units down followed by a reflection across the y-axis
• A reflection across the x-axis followed by a translation 2 units to the left