Photo AI

Shape A is reflected in the line with equation $x = 2$ to give shape B - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 3

Question icon

Question 18

Shape-A-is-reflected-in-the-line-with-equation-$x-=-2$-to-give-shape-B-Edexcel-GCSE Maths-Question 18-2022-Paper 3.png

Shape A is reflected in the line with equation $x = 2$ to give shape B. Shape B is reflected in the line with equation $x = 6$ to give shape C. Describe fully the s... show full transcript

Worked Solution & Example Answer:Shape A is reflected in the line with equation $x = 2$ to give shape B - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 3

Step 1

Shape A is reflected in the line with equation $x = 2$

96%

114 rated

Answer

When shape A is reflected in the line x=2x = 2, every point of shape A is moved to the opposite side of the line, maintaining the same distance from the line. This transformation results in shape B.

Step 2

Shape B is reflected in the line with equation $x = 6$

99%

104 rated

Answer

Subsequently, shape B is reflected in the line x=6x = 6. Similarly, every point of shape B moves to the opposite side of the line while staying equidistant from it, resulting in shape C.

Step 3

Describe fully the single transformation that maps shape A onto shape C.

96%

101 rated

Answer

To describe the single transformation that maps shape A onto shape C, we can consider the overall transformation effect. The transformation can be viewed as a cumulative reflection. First, we reflect shape A across the line x=2x = 2, and then we reflect the resulting shape B across the line x=6x = 6. This can also be interpreted as a single reflection through a line that is equidistant from both lines (effectively translating the reflection points). The result can be described as a single reflection through an effective line x=4x = 4 (the midpoint between x=2x = 2 and x=6x = 6) which directly maps shape A to shape C.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;