ABC is a triangle formed by the points A(a, 0), B(–2, 3), and C(0, –2). Write the vertices of ABC in matrix form.
The vertices of a polygon are given by the matrix
Translate the polygon 4 units right and 3 units down.
What type of quadrilateral is ABCD that is represented by the matrix given below?
Refer to ΔVJM shown in the figure. Write the co–ordinates of its image under a dilation of three times the original size.
ΔABC is given by:
Translate this triangle two units left and two units down.
Graph both the triangles on the same co–ordinate plane.
The vertices of a triangle are given by:
Dilate this triangle such that the image is fours times the original size.
Graph both the polygons on the same co–ordinate plane.
A quadrilateral ABCD is represented by the matrix . Write down the matrix of the image A′B′C′D′ for a scale change represented by . Identify the type of the quadrilateral represented by the matrix obtained.
Obtain the matrix for A′B′C′D′E′ which is the reflection image of the pentagon ABCDE over the y axis if A = (–2, –2), B = (2, –1), C = (5, 0), D = (4, 3), E = (–1, 5). Graph both the pentagon and its reflection image.
Find two 3 3 matrices A and B that satisfies the relation AB =BA.
Find two 3 3 matrices A and B that satisfies the relation AB = BA.
