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Transformations in the Plane

Last updated almost 5 years ago

15 questions

Note from the author:

Used for geometry. Students answer review questions about different transformations. 

1

Triangles ABC and A'B'C' are shown below. Which of the following transformations takes triangle ABC onto triangle A'B'C'?

1

A triangle with coordinates A (1, 1) , B (4, 2) , C (3, 5) is translated three units down and five units to the left.
What are the coordinates of the new triangle?

1

Triangle ABC is reflected over the line y = 1 to produce triangle A'B'C'. What will be the coordinates of A'?

1

Triangle ABC is translated to triangle A'B'C' by the following motion rule.
(x, y) → (x + 2, y − 5)

What will be the coordinates of C'?

1

The vertices of ∆ ABC are A (− 4, 2) , B (6, 6) , C (2, 7). A translation maps point A to the point A′ (4, 0) . If B and C are mapped by the same translation, what are the coordinates of B' and C'?

1

In this diagram where is the line of reflection?

2

A regular nonagon has 9 sides. What is the smallest angle of rotation about its center that carries a nonagon onto itself?

1

Patrick rotated an octagon about its center. What degree measure could he have rotated the octagon so that it mapped onto itself?

1

Look at AB on the coordinate plane. State the coordinates of B' after a 90 degree counterclockwise rotation about the origin.

1

After examining the following graph, Kate claims that WXYZ is translated according to the rule:
(x, y) → (x + 11, y − 2).

Is she correct?

1

A transformation that preserves length and angle measure is:

1

A dilation is a rigid motion.

1

The ______________ is the resulting figure after a transformation.

2

Match the transformation with its picture. (Click the word, then click the picture to match them up.)

Draggable item		Corresponding Item
translation
reflection
rotation
dilation

1

Which does NOT describe a way to map this square back onto itself?