Ages 12–14🧮 Mathematics26 verified questions on this shelf
Coordinates (age 12+)
Understand similarity as a relationship where one shape is an enlargement of another; construct similar shapes by enlargement with a given scale factor and centre, with and without coordinate grids
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Question 1 of 3
What are the coordinates of the point that divides the line segment joining (2, -1) and (8, 5) in the ratio 2:3 internally?
Question 2 of 3
Which of the following is the equation of the line that is parallel to 3x − 4y + 2 = 0, is at a perpendicular distance of 5 units from the origin, and has a positive y‑intercept? Write the equation in the form ax + by + c = 0 with integer coefficients.
Question 3 of 3
Triangle ABC has vertices A(1,2), B(4,2) and C(1,6). Triangle A'B'C' is an enlargement of triangle ABC with centre at the origin (0,0). The coordinates of the enlarged triangle are A'(2,4), B'(8,4) and C'(2,12). What is the scale factor of the enlargement?
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