Which of these triangle pairs can be mapped to each other using a reflection and a translation?

The answer is B triangle KPL and QRA

Both show a reflection and a translation

The option B represents the correct match for the required pair of triangles.

Further explanation:

Step 1:

For option A the is mapped over the , first reflecting across side and then further reflecting across the side .

Thus, the and are not mapped together using a translation and a reflection.

Step 2:

For option B the is mapped over the , first reflecting across side and then further translating in horizontal direction.

Thus, the and are mapped together using a translation and a reflection.

Step 3:

For option C the is mapped over the ,first translating in horizontal direction and then further translating in vertical direction.

Thus, the and are not mapped together using a translation and a reflection.

Step 4:

For option D the is mapped over the , first translating in horizontal direction and then further rotating about the point .

Thus, the and are not mapped together using a translation and a reflection.

Therefore, the option B represents the correct match for the required pair of triangles.

Learn more:

1. Which rule describes the transformation?

2. Which undefined term is needed to define an angle?

3. Look at the figure, which trigonometric ratio should you use to find x?

Answer Details:

Grade: Senior School

Subject: Mathematics

Chapter: Coordinate geometry.

Keywords:

triangle ABC, is shown on the graph, rotated 270° about the origin, rotation,degrees, transformation geometry, translation, reflection, dilation, multiplier, vertex matrix, initial coordinate, the image, rule, describestriangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs, sum of angle of triangle, property of triangle, triangle ABC.