Successive transformations and diagonal reflections · Short practice
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Recall
Successive transformations and diagonal reflections — objective 1
Maths4U Original · Short practice
\(\displaystyle P=(7,1)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}6\\6\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the x-coordinate after R then T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Successive transformations and diagonal reflections — objective 1
Maths4U Original · Short practice
\(\displaystyle P=(8,2)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}1\\7\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the x-coordinate after R then T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Method
Successive transformations and diagonal reflections — objective 2
Maths4U Original · Short practice
\(\displaystyle P=(8,2)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}1\\7\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the y-coordinate after R then T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Successive transformations and diagonal reflections — objective 2
Maths4U Original · Short practice
\(\displaystyle P=(9,3)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}2\\3\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the y-coordinate after R then T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Apply
Successive transformations and diagonal reflections — objective 3
Maths4U Original · Short practice
\(\displaystyle P=(9,3)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}2\\3\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the x-coordinate after T then R.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Successive transformations and diagonal reflections — objective 3
Maths4U Original · Short practice
\(\displaystyle P=(2,-3)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}3\\4\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the x-coordinate after T then R.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Check understanding
Successive transformations and diagonal reflections — objective 4
Maths4U Original · Short practice
\(\displaystyle P=(2,-3)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}3\\4\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the y-coordinate after reflection of the original P in \(\displaystyle y=-x\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Successive transformations and diagonal reflections — objective 4
Maths4U Original · Short practice
\(\displaystyle P=(3,-2)\). Let R be reflection in \(\displaystyle y=x\) and T be translation by \(\left[\begin{matrix}4\\5\end{matrix}\right]\). “R then T” means reflect first. Separately consider reflection in \(\displaystyle y=-x\).
Find the y-coordinate after reflection of the original P in \(\displaystyle y=-x\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.