Question

Which transformation will map figure L onto figure L'?

Two congruent triangles Figure L and Figure L prime are drawn on a coordinate grid. Figure L has vertices at negative 4, 2, negative 2, 4, and negative 3, 7. Figure L prime has vertices at 2, 2, 4, 4, and 3, 7
Horizontal translation of 8 units
Horizontal translation of 6 units
Reflection across x-axis
Reflection across y-axis

Answer 1

Horizontal translation of six units

Answer 2

Option b is right answer.

Horizontal translation of 6 units

Explanation:

Given that L and L' are congruent triangles.

. Figure L has vertices at negative 4, 2, negative 2, 4, and negative 3, 7. Figure L prime has vertices at 2, 2, 4, 4, and 3, 7

On comparison of corresponding vertices we find that y coordinate remains the same for all vertices.

But x coordinate -4 became 2, -2 became 4, and -3 became 3.

This means original x coordinate is increased by 6 units to get L'

i.e. there is a horizontal translation of 6 units.

This will only make (-4,2) to (2,2), (-2,4) to (4,4) and (-3,7) to (3,7)

Option b is right answer.

Horizontal translation of 6 units