Question

The coordinates of the vertices of △JKL are J(1,4), K(6,4), and L(1,1). The coordinates of the vertices of △J'K'L' are J'(0,-4), K'(-5,-4), and L'(0,-1). A sequence of transformation that maps △J'K'L' is a translation 1 unit ________ △JKL to

followed by a rotation of ___________
__________degrees about the origin.

Answer 1

i unit to the left followed by a rotation of 180 degrees about the origin

Answer 2

180 degrees

Explanation:

We are given that

The coordinates of L (1,4)

The coordinates of K(6,4)

The coordinates of L(1,1)

The coordinates of L'(0,-4)

The coordinate of K'(-5,-4)

The coordinates of L'(0,-1).

We are given that triangle JKL convert into triangle J'K'L' by translation 1 units left .

Transformation rule

`(x,y)\implies (x-1,y)`

After translation one unit

The coordinates of J(0,4)

The coordinates of K (5,4)

The coordinates of L(0,1)

Now, the triangle rotating 180 degrees about origin

The rule of transformation is given by

`(x,y)\implies (-x,-y)`

The coordinates of J'(0,-4)

The coordinates of K'(-5,-4)

The coordinates of L'(0,-1).

Hence, the triangle JKL is transformed into triangle J'K'L' when a triangle JKL translate 1 unit left and then rotate 180 degrees about origin.