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Section 1

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What is a translation?

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Geometry Math

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4 years ago

Date created

Mar 1, 2020

Cards (31)

Section 1

(31 cards)

What is a translation?

Front

A translation "slides" an object a fixed distance in a given direction. The original object and its translation have the same shape and size, and they face in the same direction. The word "translate" in Latin means "carried across".

Back

Sherry took the photo to the right of a hot-air balloon floating in the sky. The shape of the photo is a perfect square. Sherry could have shot the photo other ways. Which shot would produce a photo not congruent to the photo?

Front

A - Flipping the camera upside down B - Turning the camera 90° clockwise C - Shooting from directly under the balloon

Back

What DOES NOT change in a reflection?

Front

Angle measures, size, shape, distance, parallel lines

Back

What is a reflection?

Front

A reflection over a line k (notation rk) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side of the line. Remember that a reflection is a flip. Under a reflection, the figure does not change size.

Back

Figures produced by dilations have corresponding congruent angles (T/F)

Front

True

Back

Figures produced by dilations are similar (T/F)

Front

True

Back

What DOES NOT change in a translation?

Front

Angle measures, shape, parallel lines

Back

Figures produced by dilations have corresponding congruent sides (T/F)

Front

False

Back

Translations are rigid motions (T/F)

Front

True

Back

Which sequence of transformations will produce an image that is similar, but not congruent to the original figure?

Front

A - Translate the figure 5 units to the right, and then rotate it 90°. B - Translate the figure 3 units up, and then dilate it using a scale factor of 2. C - Reflect the original figure across a line, and then rotate it 180°. D - Reflect the original figure across two parallel lines.

Back

What is a dilation?

Front

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation used to create an image larger than the original is called an enlargement. A dilation used to create an image smaller than the original is called a reduction.

Back

If you transformed a square using only reflections, rotations, and translations, what would be true about the resulting figure?

Front

A - It will be a quadrilateral, but the side lengths may have changed depending on the rotations and reflections used. B - It will be a rectangle, but not necessarily a square. C - It will be a square, but possibly a different size from the original square. D - It will be a square that is congruent to the original square.

Back

What DOES NOT change in a rotation?

Front

Parallel lines, lengths, angle measures, position or points related to other points, exact location of the shape compared to the paper, exact location of the shape on the table

Back

Figures produced by rigid motions are congruent (T/F)

Front

True

Back

What is a rotation?

Front

A rotation is a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape and size, but the figures may be turned in different directions

Back

Figures produced by rigid motions have corresponding congruent angles (T/F)

Front

True

Back

Figures produced by dilations are the same size (T/F)

Front

False

Back

If △A'B'C' is the image of △ABC, under which transformation will the triangles NOT be congruent.

Front

a) Reflection over the x-axis b) Translation to the left 5 and down 4. c) Dilation centered at the origin with scale factor 2. d) Rotation of 270° counterclockwise about the origin.

Back

Rotations are rigid motions (T/F)

Front

True

Back

Dilations are rigid motions (T/F)

Front

False

Back

Reflections are rigid motions (T/F)

Front

True

Back

The corresponding sides of similar figures have equal ratios (T/F)

Front

False

Back

Figures produced by rigid motions have corresponding parts (T/F)

Front

True

Back

What DOES NOT change in a dilation?

Front

Parallel lines, angle measures, position of points related to other points (between-ness), orientation, the fact that the shape is a parallelogram

Back

Figures produced by dilations are congruent (T/F)

Front

True

Back

Figures produced by dilations have corresponding congruent parts (T/F)

Front

False

Back

What is a stretch or compression in one direction?

Front

-A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression is the squeezing of the graph towards the y-axis. -A vertical stretching is the stretching of the graph away from the x-axis. A vertical compression is the squeezing of the graph towards the x-axis.

Back

Figures produced by dilations are the same shape (T/F)

Front

True

Back

Figures produced by rigid motions are the same size (T/F)

Front

True

Back

Figures produced by rigid motions have corresponding congruent sides (T/F)

Front

True

Back

Figured produced by rigid motions are similar (T/F)

Front

False

Back