Maths-
General
Easy
Question
The vertices of △ 𝑃𝑄𝑅 are P (1, 0), B (5, 5), and C
(5, 0). A translation of results in the image △ 𝐿𝑀𝑁 with vertices L (-1, 3), M (3, 8), and N (3, 3). Describe the translation in words and in coordinate notation.
Hint:
Translation is displacement of an object.
The correct answer is: (x , y) → (x – 2 , y + 3)
We know that in transformation by translation figure or shape is displaced from one place to another. A figure can move upward, downward, right, left or anywhere in the coordinate system but the size remains same.
Let the displacement along x – axis be ‘a’ and along y – axis be ‘b’.
A = L 
(1 + a , 0 + b) = (-1 , 3)
1 + a = - 1 , b = 3
a = - 2 , b = 3
In translation, when a figure or shape is displaced every point of the figure is displaced by same units. So, we only need to solve for one point.
Hence, coordinate notation is (x , y) → (x – 2 , y + 3)
Related Questions to study
Maths-
The vertices of △ 𝐴𝐵𝐶 are A (2, 4), B (1, 1), and C (5,1). A translation of △ 𝐴𝐵𝐶 results in the image △𝑃𝑄𝑅 with vertices P (3, 2), Q (2, -1), and R (6, -1). Describe the translation in words and in coordinate notation.
The vertices of △ 𝐴𝐵𝐶 are A (2, 4), B (1, 1), and C (5,1). A translation of △ 𝐴𝐵𝐶 results in the image △𝑃𝑄𝑅 with vertices P (3, 2), Q (2, -1), and R (6, -1). Describe the translation in words and in coordinate notation.
Maths-General
Maths-
Use a reflection in the x – axis to draw the other half of the pattern.
Use a reflection in the x – axis to draw the other half of the pattern.
Maths-General
Maths-
A field is in the shape of a trapezium whose parallel sides are 90m and 30m. These sides meet third side at right angle. The length of the fourth side is 100m.If it costs Rs 4 to ploughing the field. Find the total cost of ploughing the field.
A field is in the shape of a trapezium whose parallel sides are 90m and 30m. These sides meet third side at right angle. The length of the fourth side is 100m.If it costs Rs 4 to ploughing the field. Find the total cost of ploughing the field.
Maths-General
Maths-
If angle A and angle B of △ ABC are congruent with corresponding angles X and Y of △
XYZ respectively, then
If angle A and angle B of △ ABC are congruent with corresponding angles X and Y of △
XYZ respectively, then
Maths-General
Maths-
Use a reflection in the Y-axis to draw the other half of the pattern
Use a reflection in the Y-axis to draw the other half of the pattern
Maths-General
Maths-
Identify the transformation and find the values of a and b.
Identify the transformation and find the values of a and b.
Maths-General
Maths-
What is one possible solution to the equation above?
Note:
Instead of using the quadratic formula, we could also use middle term factorization to solve the quadratic equation 
in the following way:
Thus we get values of x = 2 or 3 .
What is one possible solution to the equation above?
Maths-General
Note:
Instead of using the quadratic formula, we could also use middle term factorization to solve the quadratic equation
in the following way:
Thus we get values of x = 2 or 3 .
Maths-
(𝑥, 𝑦) → (−𝑥, 𝑦) represents
(𝑥, 𝑦) → (−𝑥, 𝑦) represents
Maths-General
Maths-
Here, AD ∥ BC
Identify the congruent triangles and congruent corresponding parts. Write the congruence properties or theorems used.
Here, AD ∥ BC
Identify the congruent triangles and congruent corresponding parts. Write the congruence properties or theorems used.
Maths-General
Maths-
Find the co-ordinates of an image of the point (-5, -8) after reflection about Y-axis
Find the co-ordinates of an image of the point (-5, -8) after reflection about Y-axis
Maths-General
Maths-
A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non parallel sides are 14m and 13m, find the area.
A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non parallel sides are 14m and 13m, find the area.
Maths-General
Maths-
Find the co-ordinates of an image of the point (1, 2) after reflection about X-axis.
Find the co-ordinates of an image of the point (1, 2) after reflection about X-axis.
Maths-General
Maths-
Figure PQR has the vertices P (3, 3), Q (5, 5), R (8, 3). Find co-ordinates of its image ABC after the translation (x, y) → (x + 4, y - 4)
Figure PQR has the vertices P (3, 3), Q (5, 5), R (8, 3). Find co-ordinates of its image ABC after the translation (x, y) → (x + 4, y - 4)
Maths-General
Maths-
Figure PQRS has the vertices P (14, 3), Q (12, 4), R (11, 3), and S (13, 2). Find co-ordinates of its image ABCD after the translation (x, y) → (x + 2, y - 5).
Figure PQRS has the vertices P (14, 3), Q (12, 4), R (11, 3), and S (13, 2). Find co-ordinates of its image ABCD after the translation (x, y) → (x + 2, y - 5).
Maths-General
Maths-
△ ABC ≅△ PQR
AB = 10 ft, BC = 6 ft, AC = 6 ft
PQ = 2y, QR = x + 2, RS = 2x − 2
Find the values of x and y.
△ ABC ≅△ PQR
AB = 10 ft, BC = 6 ft, AC = 6 ft
PQ = 2y, QR = x + 2, RS = 2x − 2
Find the values of x and y.
Maths-General
