60 POINTS Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.

1.) Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
2.)Draw a line through points A and A′ and through points B and B′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points C and C′? How do you know?

The transformation of a preimage with coordinates (x, y) which is reflected across the x-axis gives an image with coordinates (x, -y) after reflection, that is only the y-coordinate is changed into an opposite sign

1) Therefore, the transformation of triangle ABC by reflecting it across the x-axis to create triangle A'B'C' gives an inverted image of the preimage ABC that has all points of the image, A'B'C', of equal equal distance from the x-axis as the equivalent points on the preimage ABC with the reflected image being located on the vertically opposite quadrant

2) The line drawn from a point A to the reflecting line is in the same direction and intersects at the same point with the reflecting line (the x-axis) as the line drawn from point A' to the x-axis

3) Yes

4) This is so because a reflection is a rigid transformation and the relationship between a point on the preimage and its equivalent point on the image will be the same for all points on the preimage and their corresponding point on the image

Please find attached the graph of the rigid transformation which consists of the reflection of triangle ABC across the x-axis

Step-by-step explanation: