When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places. Reflection in y = -x: When you reflect a point across the line y = -x, the x-coordinate and the y-coordinate change places and are negated (the signs are changed).

Contents

- 1 What happens when you reflect Y =- X?
- 2 How do you translate in geometry?
- 3 Which statements must be true about the image of Δmnp after a reflection across select three options?
- 4 What is the formula for reflection y x?
- 5 What is the rule for translations?
- 6 How do you translate a function to the left?

## What happens when you reflect Y =- X?

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

## How do you translate in geometry?

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y), a units right and b units up, use P'(x+a,y+b).

## Which statements must be true about the image of Δmnp after a reflection across select three options?

The image will be congruent to ΔMNP. The orientation of the image will be the same as the orientation of ΔMNP. will be perpendicular to the line segments connecting the corresponding vertices. The line segments connecting the corresponding vertices will all be congruent to each other.

## What is the formula for reflection y x?

Reflection in the line y=−x: The rule for a reflection in the origin is (x,y)→(−y,−x).

## What is the rule for translations?

✓ Translations can be achieved by performing two composite reflections over parallel lines. ✓ Translations are isometric, and preserve orientation. Coordinate plane rules: (x, y) → (x ± h, y ± k) where h and k are the horizontal and vertical shifts. Note: If movement is left, then h is negative.

## How do you translate a function to the left?

To translate the function to the left or right, you simply add or subtract numbers from within the absolute value brackets. The trick, though, is that if you add numbers, the function will move to the left. Want to move the function 2 units to the right? Then subtract 2 from x.