A slide is also called a _________.

• Translation

• Reflection

• Rotation

• Transformation

Answer explanation

A slide in geometry refers to a translation, which is a type of transformation that moves every point of a shape the same distance in a specified direction. Thus, a slide is also called a translation.

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Answer explanation

A turn in geometry refers to a rotation, which involves moving a shape around a fixed point. Unlike translation or reflection, rotation specifically describes the action of turning an object.

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

Answer explanation

Translations, reflections, and rotations are all types of changes that can be applied to shapes in geometry. These changes are collectively known as transformations, making 'Transformations' the correct answer.

When you translate, (x-4,y) will move _____.

• 4 units right

• 4 units left

• 4 units up

• 4 units down

Answer explanation

When translating (x-4,y), the x-coordinate decreases by 4, moving the point 4 units left on the Cartesian plane. Thus, the correct answer is 4 units left.

When you translate, (x,y+6) will move _____.

• 6 units right

• 6 units left

• 6 units up

• 6 units down

Answer explanation

When translating the point (x, y+6), the y-coordinate increases by 6, moving the point 6 units up on the graph. Therefore, the correct answer is 6 units up.

When you reflect a shape, you ______ over an axis or line.

• Flip

• Rotate

• Slide

• Expand

Answer explanation

When you reflect a shape, you flip it over an axis or line, creating a mirror image. This is different from rotating, sliding, or expanding the shape.

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Answer explanation

The translation (x +2, y - 1) indicates moving 2 units to the right and 1 unit down. This matches the correct choice, as it specifies the exact changes in the x and y coordinates.

Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?

• (9,-3)

• (2,4)

• (2,0)

• 12,4)

Answer explanation

To find the new point, start at (7,2). Translating vertically 2 units means we add 2 to the y-coordinate: 2 + 2 = 4. Translating horizontally -5 units means we subtract 5 from the x-coordinate: 7 - 5 = 2. The new point is (2,4).

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

• (-5,-6)

• (5,-6)

• (6,5)

• (-6,5)

Answer explanation

Applying the rule (x,y)-->(y,-x) to the point (-5,6) gives (6,-(-5)) = (6,5). Thus, the correct answer is (6,5).

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y - 3)

Answer explanation

The correct rule is (x, y) → (x - 2, y + 3), which translates a point 2 units left (subtracting 2 from x) and 3 units up (adding 3 to y). The other options do not achieve this translation.