This study notes covers Worked Example: Reflecting in x = 2 within Transformations: Reflections for GCSE Mathematics. Revise Transformations: Reflections in Geometry & Measures for GCSE Mathematics with 13 exam-style questions and 5 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 4 of 6 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Worked Example: Reflecting in x = 2
Reflect point (5, 3) in the line x = 2.
Step 1 Find distance to mirror line
Point is at x = 5, mirror line is x = 2
Horizontal distance = 5 - 2 = 3 units to the right
Step 2 Go same distance on other side
Go 3 units LEFT from x = 2
New x = 2 - 3 = -1
y stays same: y = 3
Step 3 Write image
Image: (-1, 3)
Practice questions for Transformations: Reflections
A point P has coordinates (3, 5). It is reflected in the x-axis. What are the coordinates of its image P'?
Fully describe the single transformation that maps shape A onto shape B. Shape A has vertices at (1, 1), (3, 1), (3, 4) and shape B has vertices at (−1, 1), (−3, 1), (−3, 4).