Determine the coordinates of the vertices of the image of △ABC after a reflection in the line y=−x. A(3, 4)→ A′ ( )
B(3, 2)→ B′ ( )
C(−1, 2)→ C′ ( )

The coordinates of the vertices of the image of △ABC after a reflection in the line y=−x are A'(-4,-3), B'(-2,-3), and C'(-2,1) and this can be determined by using the rules of transformation.

Given :

The triangle ABC is reflected about the line (y = -x).

The following steps can be used in order to determine the coordinates of the vertices of the image of △ABC after a reflection in the line (y = −x):

Step 1 - Let the coordinate be (x,y) so after the reflection about (y = -x) the coordinate becomes (-y,-x).

Step 2 - The coordinate A(3,4) after the reflection about (y = -x) becomes A'(-4,-3).

Step 3 - The coordinate B(3,2) after the reflection about (y = -x) becomes B'(-2,-3).

Step 4 - The coordinate C(-1,2) after the reflection about (y = -x) becomes C'(-2,1).

For more information, refer to the link given below:

link

See below.

Step-by-step explanation:

A(3, 4)→ A′ (-4, -3)

B(3, 2)→ B′ (-2, -3)

C(−1, 2)→ C′ (-2, 1)

step-by-step :

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet