Question

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

Part) A. Part B and Part C see the explanation

Step-by-step explanation:

Part A) Translate Triangle ABC 6 units horizontally How are the values in the ordered pairs affected by the translation?

If the translation is 6 units horizontally, that means that each vertex of the ABC pre-image is going to move 6 units to the right, i.e. each x-coordinate of the ABC pre-image is going to increase by 6 units and each y-coordinate of the ABC pre-image is going to remain the same.

Part B) Translate Triangle ABC -3 units vertically How are the values in the ordered pairs affected by the translation?

If the translation is -3 units vertically, that means that each vertex of the ABC pre-image is going to move 3 units down, i.e. each x-coordinate of the ABC pre-image is going to remain the same and each y-coordinate of the ABC pre-image is going to decrease by 6 units.

Part C) How could you determine the coordinates of the vertices of a translated image without using a graph?

we know that

The coordinates of the image vertices can be determined through the rule of the translation

so

In the part A) the translation is +6 units horizontally (6 units at right)

therefore

The rule of the translation of the pre-image to the image is equal to

(x,y) ------> (x+6,y)

Example

The coordinates of the pre-image A(-4,1)

To obtain the coordinates of the image A' apply the rule of the translation

A(-4,1)--------> A'(-4+6,1)

A(-4,1)--------> A'(2,1)

In the part B) the translation is -3 units vertically (3 units down)

therefore

The rule of the translation of the pre-image to the image is equal to

(x,y) ------> (x,y-3)

Example

The coordinates of the pre-image A(-4,1)

To obtain the coordinates of the image A' apply the rule of the translation

A(-4,1)--------> A'(-4,1-3)

A(-4,1)--------> A'(-4,-2)