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 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