Shape A can be transformed to shape B by a reflection in the x-axis followed by a
translation cd.
Find the value of c and the value of d.

Transformation involves changing the position of a shape.

The values of c and d are -6 and 1, respectively.

One of the vertices of triangle A is:

When reflected across the x-axis, we have:

The corresponding point to A' is:

So, the equation to calculate c and d is:

Rewrite as:

Solve for x and d

Hence, the values of c and d are -6 and 1, respectively.

Read more about transformations at:

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Values of c and d are (-6) and (-1)

Step-by-step explanation:

To solve this question we will take a point of the right angle triangle A first.

Let the point which makes the right angle is (3, 2).

When reflected over the x-axis rule for the reflection will be

(x, y) → (x, -y)

So, the image of the point will be (3, -2)

We can see that final image of this point in the triangle B is (-3, -3).

So the translation from (3, -2) to (-3, -3) will be,

(3+c, -2+d) → (-3, -3)

⇒ 3 + c = -3

⇒ c = -6 [Shift by 6 units to the left]

and -2 + d = -3

⇒ d = -3 + 2

⇒ d = -1 [Shift by 1 unit down]

Therefore, the values of c and d are (-6) and (-1).

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: