2026-09-10T00:15:23.080829 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL Work out the coordinates of the vertices of trian...
Question 1 Report
Work out the coordinates of the vertices of triangle \(ABC\), shown on the grid, after a translation by \(\begin{pmatrix} -2 \\ 5 \end{pmatrix}\). The vertices are \(A(1, 1)\), \(B(4, 2)\) and \(C(3, 6)\). Then state the column vector of the translation that maps the image back onto triangle \(ABC\).
Answer Details
A translation adds the vector components to every vertex. Here, subtract 2 from every \(x\)-coordinate and add 5 to every \(y\)-coordinate.
- \[A'=(1-2,1+5)=(-1,6).\] [1 mark]
- \[B'=(4-2,2+5)=(2,7).\] [1 mark]
- \[C'=(3-2,6+5)=(1,11).\] [1 mark]
- To map the image back to the original triangle, reverse the translation. The return vector is \[\begin{pmatrix}2\\-5\end{pmatrix}.\] [1 mark]
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning