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Translation in Geometry

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Move shapes with vectors

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Philippines

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Translation in Geometry
 

Translation in GeometryOnline version

Move shapes with vectors

by YANG LEE
1

What is the result of translating a point (3, -2) by the vector (5, 4)?

2

A triangle is translated 7 units right and 3 units up. Which new coordinates correspond to a vertex originally at (1, 2)?

3

Translation preserves which of the following properties of a figure?

4

If a shape is translated by vector (0, -6), what happens to its y-coordinates?

5

Which of these best defines translation in geometry?

6

A point A(4, -3) translated by vector (-2, 5). What is A' coordinates?

7

Which vector represents translating a point from (0,0) to (3,7)?

8

A square at coordinates with bottom-left corner at (2,2) is translated by (5,0). New bottom-left corner is at?

9

True or False: Translation changes the orientation of a figure.

10

If every vertex of a polygon is translated by vector (0, 0), the image is:

11

Which transformation moves every point the same distance in the same direction?

12

A shape is flipped over a line to produce a mirror image. What is this transformation called?

13

If a triangle is turned around a fixed point without changing size, what transformation occurred?

14

What transformation changes size but not shape, keeping the same center?

15

If a square is moved 5 units right, which transformation is this?

16

A figure is enlarged about a fixed center. What is this transformation?

17

What operation preserves shape and size but changes position?

18

If a shape is reflected across the x-axis, what happens to its orientation?

19

Which combination of transformations keeps size the same but may reposition?

20

A hexagon is rotated 90 degrees about the origin. What type of transformation is this?

Feedback

Adds the vector components: 3+5=8 and -2+4=2.

x+7 and y+3 gives (1+7, 2+3) = (8,5).

Translations preserve congruence, i.e., shape and size remain unchanged.

Translation by (0, -6) moves every point down by 6.

Translation is a slide, no rotation or reflection.

Subtract 2 from x and add 5 to y: 4-2=2, -3+5=2.

Translation uses the movement vector, here (3,7).

Shift right by 5 in x: 2+5=7.

Translations preserve orientation; no rotation occurs.

Zero translation leaves every point unchanged.

Translation shifts every point equally without changing orientation.

A mirror image across a line is a reflection.

Turning around a point is rotation.

Dilation scales size relative to a center.

Moving without rotation or resizing is translation.

Enlargement about a center is dilation.

Rigid motions preserve size and shape.

Reflection flips across a line, altering orientation.

Translations and rotations are isometries maintaining size.

Rotating a shape around a point is a rotation.

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