M L Aggarwal - Understanding ICSE Mathematics - Class 10 solutions for Chapter 9 Reflection

Find the co-ordinates of the images of the following points under reflection in the origin:(-3/2, -1/2)

Find the co-ordinates of the images of the following points under reflection in the origin:(2, -5)

Find the co-ordinates of the images of the following points under reflection in the y-axis:(2, -5)

Find the co-ordinates of the images of the following points under reflection in the origin:(0, 0)

Find the co-ordinates of the images of the following points under reflection in the x- axis:(-3/2, -1/2)

Find the co-ordinates of the images of the following points under reflection in the y-axis:(-3/2, 1/2)

Find the co-ordinates of the images of the following points under reflection in the x- axis:(-7, 0)

Find the co-ordinates of the images of the following points under reflection in the y-axis:(0, -7)

The image of a point P under reflection in the x-axis is (5, -2). Write down the coordinates of P.

A point P is reflected in the x-axis. Co-ordinates of its image are (8, -6).

Find the co-ordinates of the image of P under reflection in the y-axis.

A point P is reflected in the x-axis. Co-ordinates of its image are (8, -6).

Find the co-ordinates of P.

Find the co-ordinates of the images of the following points under reflection in the x- axis: (2, -5)

A point P is reflected in the origin. Co-ordinates of its image are (2, -5).

Find the co-ordinates of P.

A point P is reflected in the origin. Co-ordinates of its image are (2, -5).

Find the co-ordinates of the image of P in the x-axis.

The point P (2, 3) is reflected in the line x = 4 to the point P’. Find the co-ordinates of the point P’.

The point P (2, 4) on reflection in the line y = 1 is mapped onto P’ Find the co-ordinates of P’.

The point P ( -4, -5) on reflection in y-axis is mapped on P’. The point P’ on reflection in the origin is mapped on P”. Find the co-ordinates of P’ and P”. Write down a single transformation that maps P onto P”.

Write down the co-ordinates of the image of the point (3, -2) when:

reflected in the y-axis

Write down the co-ordinates of the image of the point (3, -2) when:

reflected in the x-axis followed by a reflection in the y-axis

Write down the co-ordinates of the image of the point (3, -2) when:

reflected in the origin.

Find the co-ordinates of the image of (3, 1) under reflection in x-axis followed by a reflection in the line x = 1.

Write down the co-ordinates of the image of the point (3, -2) when:

reflected in the x-axis

If P’ (-4, -3) is the image of a point P under reflection in the origin, find the co-ordinates of the image of P under reflection in the line y = -2.

A point P (a, b) is reflected in the x-axis to P’ (2, -3), write down the values of a and b. P” is the image of P, when reflected in the y-axis. Write down the co-ordinates of P”. Find the co-ordinates of P”, when P is reflected in the line parallel to y-axis such that x = 4.

Point P (a, b) is reflected in the x-axis to P’ (5, -2). Write down the values of a and b.

P” is the image of P when reflected in the y-axis. Write down the co-ordinates of P”.

Name a single transformation that maps P’ to P”.

Use graph paper for this (take 2 cm = 1 unit along both x and y-axis). ABCD is a quadrilateral whose vertices are A (2, 2), B (2, -2), C (0, -1) and D (0, 1).

Name two points which are invariant under the above reflection.

Use graph paper for this (take 2 cm = 1 unit along both x and y-axis). ABCD is a quadrilateral whose vertices are A (2, 2), B (2, -2), C (0, -1) and D (0, 1).

Name the polygon A’B’CD.

Points A and B have co-ordinates (2, 5) and (0, 3).

Find the image A’ of A under reflection in the x-axis.

Points A and B have co-ordinates (2, 5) and (0, 3).

Find the image B’ of B under reflection in the line AA’.

Plot the points A (2, -3), B (-1, 2) and C (0, -2) on the graph paper. Draw the triangle formed by reflecting these points in the x-axis. Are the two triangles congruent?

The points (6, 2), (3, -1) and (-2, 4) are the vertices of a right-angled triangle. Check whether it remains a right-angled triangle after reflection in the y-axis.

The image of a point P on reflection in a line l is point P’. Describe the location of the line l.

Given two points P and Q, and that (1) the image of P on reflection in the y-axis is the point Q and (2) the midpoint of PQ is invariant on reflection in x-axis. Locate:

The point (-3, 0) on reflection in a line is mapped as (3, 0) and the point (2, -3) on reflection in the same line is mapped as (-2, -3).

Name the mirror line.

Given two points P and Q, and that (1) the image of P on reflection in the y-axis is the point Q and (2) the midpoint of PQ is invariant on reflection in x-axis.

Locate: The origin.

The point (-3, 0) on reflection in a line is mapped as (3, 0) and the point (2, -3) on reflection in the same line is mapped as (-2, -3).

Write the co-ordinates of the image of (-3, -4) in the mirror line.

Given two points P and Q, and that (1) the image of P on reflection in the y-axis is the point Q and (2) the midpoint of PQ is invariant on reflection in x-axis.

Locate: the y-axis

Use graph paper for this (take 2 cm = 1 unit along both x and y-axis). ABCD is a quadrilateral whose vertices are A (2, 2), B (2, -2), C (0, -1) and D (0, 1).

Write down the coordinates of A’ and B’.

Use a graph sheet for this question. Take 1 cm = 1 unit along both x and y-axis.

Plot the point: A (0, 5), B (3, 0), C (1, 0) and D (1, -5).

Use a graph sheet for this question. Take 1 cm = 1 unit along both x and y-axis.

Write down the coordinates of B’, C’ and D’.

Use a graph sheet for this question. Take 1 cm = 1 unit along both x and y-axis.

Join the points A, B, C, D, D’, C’, B’, A in order and give a name to the closed figure ABCDD’C’B’.

Use graph paper for this (take 2 cm = 1 unit along both x and y-axis). ABCD is a quadrilateral whose vertices are A (2, 2), B (2, -2), C (0, -1) and D (0, 1).

Reflect quadrilateral ABCD on the y-axis and name it as A’B’CD.

The triangle ABC where A (1, 2), B (4, 8), C (6, 8) is reflected in the x-axis to triangle A’ B’ C’. The triangle A’ B’ C’ is then reflected in.the origin to triangle A”B”C” Write down the co-ordinates of A”, B”, C”. Write down a single transformation that maps ABC onto A” B” C”.

Using a graph paper, plot the points A (6, 4) and B (0, 4).

Write the co-ordinates of A’ and B’

Using a graph paper, plot the points A (6, 4) and B (0, 4).

State the geometrical name for the figure ABA’B’.

Using a graph paper, plot the points A (6, 4) and B (0, 4).

Find its perimeter.

Use graph paper to answer this question

Plot the points A (4, 6) and B (1, 2).

Use graph paper to answer this question

If A’ is the image of A when reflected in x-axis, write the co-ordinates of A’

** **Use graph paper to answer this question

If B’ is the image of B when B is reflected in the line AA’, write the co-ordinates of B’.

Use graph paper to answer this question

Give the geometrical name for the figure ABA’B’.

The points A (2, 3), B (4, 5) and C (7, 2) are the vertices of ∆ABC.

Write down the co-ordinates of A₁, B₁, C₁ if ∆ A₁B₁C₁ is the image of ∆ ABC when reflected in the origin.

The points A (2, 3), B (4, 5) and C (7, 2) are the vertices of ∆ABC.

Write down the co-ordinates of A₂, B₂, C₂ if ∆ A₂B₂C₂ is the image of ∆ ABC when reflected in the x-axis.

The points A (2, 3), B (4, 5) and C (7, 2) are the vertices of ∆ABC.

Assign the special name to the quadrilateral BCC₂B₂ and find its area.

The point P (3, 4) is reflected to P’ in the x-axis and O’ is the image of O (origin) in the line PP’.

Find the co-ordinates of P’ and O’,

The point P (3, 4) is reflected to P’ in the x-axis and O’ is the image of O (origin) in the line PP’.

Find: the length of segments PP’ and OO’.

The point P (3, 4) is reflected to P’ in the x-axis and O’ is the image of O (origin) in the line PP’.

Find: the perimeter of the quadrilateral POP’O’.

Use a graph paper for this question. (Take 10 small divisions = 1 unit on both axes). P and Q have co-ordinates (0, 5) and (-2, 4).

P is invariant when reflected in an axis. Name the axis.

Use a graph paper for this question. (Take 10 small divisions = 1 unit on both axes). P and Q have co-ordinates (0, 5) and (-2, 4).

Find the image of Q on reflection in the axis found in (i).

Use a graph paper for this question. (Take 10 small divisions = 1 unit on both axes). P and Q have co-ordinates (0, 5) and (-2, 4).

(0, k) on reflection in the origin is invariant. Write the value of k.

Use a graph paper for this question. (Take 10 small divisions = 1 unit on both axes). P and Q have co-ordinates (0, 5) and (-2, 4).

Write the co-ordinates of the image of Q, obtained by reflecting it in the origin followed by a reflection in x-axis.

Use a graph sheet for this question. Take 1 cm = 1 unit along both x and y-axis.

Reflect the points B, C and D on the y-axis and name them as B’, C’ and D’ respectively.

Using a graph paper, plot the points A (6, 4) and B (0, 4).

Reflect A and B in the origin to get the images A’ and B’.

M l aggarwal understanding icse mathematics class 10 Solutions for Chapter 9 reflection