How do horizontal and vertical translations each affect the coordinates of the points on a figure.

Rigid transformations is preservative of the distance between pairs of points on the figure. Horizontal and vertical translations are rigid motion transformation such that the shape and size of the figure do not change;

The sequence of translation used to move Figure 1 onto Figure 2 is T₍₋₁₀, ₋₃₎

Translate Figure 1, ten units left and three units down to move Figure 1 onto Figure 2

The reason the above sequence is correct is as follows:

Given that translations are rigid motion, we have;

The sequence of translation that will move a point on Figure 1 to the corresponding point on Figure 2 is the same as the sequence of translation used to move Figure 1 to Figure 2

The coordinates of the point on the top right corner of Figure 1 is (6, 8)

The coordinates of the corresponding point in Figure 2 is (-4, 5)

The sequence of translation, T, is given by the difference of the coordinates as follows;

The sequence of translation is T₍₍₍₋₄₎ ₋ ₆₎, ₍₅ ₋ ₈₎₎ = T₍₋₁₀, ₋₃₎

Therefore, the sequence of translation are;

1) Shift Figure 1,  10 units to the left then 2)  Shift Figure 1, 3 units down to move Figure 1 to Figure 2

Learn more about rigid transformations here:

link

Hi there!

Your answer is:

Perform the translation:

x-10

y-3

Step-by-step explanation:

A translation is how many units X moved left/right and how many units Y moved up/down!

In your case, X went left and Y went down! This means there was  a DECREASE in both of these values!

We can determine this by choosing one point and counting how many units it moved.

Lets use the point on figure 1 at (2,5)

Where did it move on figure 2? (-8, 2)

How many units left did it go? 10!

How many units down did it go? 3!