Question : What is the reflection of the point (–3, 1) in the line $x=-2$?
Option 1: (–1, 1)
Option 2: (–3, –5)
Option 3: (1, 1)
Option 4: (–3, 5)
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Correct Answer: (–1, 1)
Solution : To find: Reflection of the point (–3, 1) in the line $x=-2$. Reflection of a point $(x_1, y_1)$ in a line $x=a$ is $(-x_1+2a, y_1)$. So, reflection of the point (–3, 1) in the line $x=-2$, = (–(–3) + 2(–2), 1) = (–1, 1) Hence, the correct answer is (–1, 1).
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Question : What is the reflection of the point (5, – 2) in the line $x$ = – 1?
Option 1: (– 7, – 2)
Option 2: (5, 0)
Option 3: (7, – 2)
Option 4: (5, 2)
Question : What is the reflection of the point (5, 3) in the line $y = –2$?
Option 1: (– 9, 3)
Option 2: (– 5, – 7)
Option 3: (– 9, – 3)
Option 4: (5, – 7)
Question : What is the reflection of the point (5, –3) in the line y = 3?
Option 1: (5, 3)
Option 2: (5, 9)
Option 3: (5, –6)
Option 4: (–5, 3)
Question : The slope of the line passing through the point (7, –2) and ($x$, 1) is $-\frac{3}{10}$. Find $x$.
Option 1: 4
Option 2: 2
Option 3: –4
Option 4: –3
Question : The slope of the line passing through the points (2, –1) and ($x$, 5) is –1. Find $x$.
Option 2: –4
Option 3: –8
Option 4: 8
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