Photo AI

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation Find the value of c and the value of d. - Edexcel - GCSE Maths - Question 6 - 2019 - Paper 1

Question icon

Question 6

Shape-A-can-be-transformed-to-shape-B-by-a-reflection-in-the-x-axis-followed-by-a-translation--Find-the-value-of-c-and-the-value-of-d.-Edexcel-GCSE Maths-Question 6-2019-Paper 1.png

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation Find the value of c and the value of d.

Worked Solution & Example Answer:Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation Find the value of c and the value of d. - Edexcel - GCSE Maths - Question 6 - 2019 - Paper 1

Step 1

Find the value of c

96%

114 rated

Answer

To find the value of c, we first reflect shape A across the x-axis. This changes the y-coordinate of each vertex of shape A. Since the vertices of shape A are at (1, 3) and (2, -1), after reflection, they become (1, -3) and (2, 1). The next step involves translating the reflected shape A to match shape B, which has vertices at (2, -6) and (3, -3).

To find the translation needed, we compare the respective vertices. From (1, -3) to (2, -6), the translation vector is (1, -3) since:

  • x: 2 - 1 = 1
  • y: -6 - (-3) = -3

Thus, we have:

c=1c = 1

Step 2

Find the value of d

99%

104 rated

Answer

For the second vertex of shape A, from (2, 1) to (3, -3), the translation vector is (1, -4) since:

  • x: 3 - 2 = 1
  • y: -3 - 1 = -4

Therefore, considering the general form of translation (c, d): If c = 1, we find: d=4d = -4

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

;