Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

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karlavaldivia99 karlavaldivia99

26-04-2017
Mathematics

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Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

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ColinJacobus ColinJacobus · Answer 1 · 2019-03-08T08:38:55+01:00

Answer: The answer is the first and the third figure, attached.

Step-by-step explanation: We are given four figures each having two triangles.

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

The correct figures are attached herewith.

We can see in both the figures that if we rotate triangle RAQ about the point A and then translated to the left, then it will map onto the triangle PKL.

Also, point A will map to point L, point R will map to point P and point Q will map to point K.

Thus, the correct option is the first and third figure and it is attached.

AkshayG AkshayG · Answer 2 · 2019-10-17T08:43:42+02:00

The Figure 1 and Figure 4 are correct as these triangle pairs can be mapped to each other using a translation and rotation about point A.

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.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

Explanation:

The angle KPL is equal to the angle ARQ.

The angle PLK is equal to the angle QAR.

The side PL is equal to the side RA.

In Figure 1 the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

In Figure 2 the triangle ARQ and LPK cannot be mapped to each other using a translation and a rotation about point A.

In Figure 3 the triangle ARQ and LPK cannot be mapped to each other using a translation and a rotation about point A.

In Figure 4 the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

The Figure 1 and Figure 4 are correct as these triangle pairs can be mapped to each other using a translation and rotation about point A

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 https://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