Question

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

Answer 1

Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.

Explanation:-

Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.

The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and  k is the distance of the y coordinate of the each point of the original figure to the image.

In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows  the triangle pairs which can be mapped to each other using a single translation.

Answer 2

The Figure 4 is correct as the triangle MNP and CDE can be mapped to each other using a translation.

Further  explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Explanation:

The angle MNP is equal to the angle CDE.

The side PN is equal to the side ED.

The side MN is equal to the side CD.

The translation mapping of a single translation can be expressed as follows,

$\left( {x,y}\right) \Rightarrow \left({x + h,y + k} \right)$

Here, h represents the distance of translation in x-axis and k represents the distance of translation in y-axis.

In Figure 1 the triangle MNP and CDE cannot be mapped to each other using a single translation.

In Figure 2 the triangle MNP and CDE cannot be mapped to each other using a single translation.

In Figure 3 the triangle MNP and CDE cannot be mapped to each other using a single translation.

In Figure 4 the triangle MNP and CDE can be mapped to each other using a translation.

Hence, the Figure 4 is correct as the triangle MNP and CDE can be mapped to each other using a translation.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides.