- Reflect the parallelogram \(ABCD\) with vertices \(A(2, 3)\), \(B(-2, 3)\), \(C(-4, -3)\), and \(D(0, -3)\) in the Y-axis, and find the vertices of the image quadrilateral \(A'B'C'D'\). Then represent both quadrilaterals in a graph paper.[3A]
- Reflect the triangle \(\triangle EFG\) with vertices \(E(4, 6)\), \(F(-4, 3)\), and \(G(2, 5)\) in the X-axis, and find the vertices of the image \(\triangle E'F'G'\). Also represent \(\triangle EFG\) and \(\triangle E'F'G'\) in graph.[3A]
- Draw a triangle with vertices \(M(-1, 1)\), \(N(-4, 2)\), and \(P(3, 4)\) in a graph paper, then rotate the triangle through \(+90^\circ\) about the origin.[3A]
- Reflect the square \(ABCD\) with vertices \(A(2, 3)\), \(B(6, 3)\), \(C(6, 7)\), and \(D(2, 7)\) in the X-axis. Find the vertices of the image square \(A'B'C'D'\) formed by reflecting it in the X-axis. Also show square \(ABCD\) and its image in a graph paper.[3A]
- Reflect \(\triangle ABC\) with vertices \(A(2, 3)\), \(B(4, 7)\), and \(C(8, 2)\) in the Y-axis. Write the coordinates of the image \(\triangle A'B'C'\) obtained by reflecting \(\triangle ABC\) on the Y-axis, and also show \(\triangle ABC\) and \(\triangle A'B'C'\) in a graph.[3A]
- Rotate \(\triangle PQR\) with vertices \(P(8, 6)\), \(Q(4, 5)\), and \(R(6, 2)\) through \(-90^\circ\) about the origin. Find the vertices of the image \(\triangle P'Q'R'\) of \(\triangle PQR\) after the rotation. Represent \(\triangle PQR\) and \(\triangle P'Q'R'\) on the same graph.[3A]
- Draw \(\triangle ABC\) with vertices \(A(1, 0)\), \(B(4, 5)\), and \(C(7, -2)\) in a graph paper, then displace the triangle 3 units right and 5 units down and show it in the graph paper.[3A]
- Plot \(\triangle ABC\) with vertices \(A(1, 0)\), \(B(4, 5)\), and \(C(7, -2)\) in a graph and displace it 3 units right and 5 units up, then write the vertices of the image \(\triangle A'B'C'\).[3A]
- Find the vertices of the image \(\triangle A'B'C'\) of \(\triangle ABC\) with vertices \(A(3, 2)\), \(B(7, 2)\), and \(C(3, -2)\) after rotating it through \(-90^\circ\) about the origin. Show both of the triangles in a graph.[3A]
- Draw a triangle \(ABC\) with vertices \(A(2, 1)\), \(B(5, 3)\), and \(C(7, -1)\) on a graph paper. Rotate it through \(180^\circ\) about the origin, and show the image on the same graph paper.[3A]
- The points \(A(2, 1)\), \(B(5, 1)\), and \(C(4, 4)\) are the vertices of \(\triangle ABC\). Find the coordinates of image \(\triangle A'B'C'\) after reflecting in the x-axis and also show on the graph.[3A]
- Draw a \(\triangle PQR\) having the vertices \(P(-1, 3)\), \(Q(3, 1)\), and \(R(5, 2)\) on the graph paper, and reflect it on the reflection axis \(y = 0\). Plot image \(\Delta P'Q'R'\) on the same graph paper and write the coordinates of \(P'\), \(Q'\), and \(R'\).[3A]
- Draw the triangle \(PQR\) on a graph, reflect it on the reflection axis \(y = 0\), and find the coordinates of it.[3A]
- If the quadrilateral \(ABCD\) with vertices \(A(2, 4)\), \(B(7, 3)\), \(C(6, 6)\), and \(D(2, 6)\) is reflected on the x-axis, find the coordinates of the vertices of the image of \(ABCD\).[3A]
- Draw a triangle with vertices \(A(4, 2)\), \(B(3, 5)\), and \(C(6, 5)\) on a graph paper. Reflect it on the Y-axis, and show the image on the same graph paper.[3A]
- Plot \(\triangle ABC\) on a graph paper whose vertices are \(A(5, 0)\), \(B(2, 8)\), and \(C(-1, 4)\). Reflect it on the reflection axis \(x = 0\) to show the image \(\triangle A'B'C'\), and write its vertices also.[3A]
- The quadrilateral \(ABCD\) having vertices \(A(2, 4)\), \(B(7, 3)\), \(C(6, 6)\), and \(D(2, 6)\) is translated 4 units right and 3 units below, find the coordinates of the vertices of the image of \(ABCD\).[3A]
- Sketch the quadrilateral \(KALU\) and its image on the graph by shading under the translation in positive direction of X-axis by 2 units.[3A]
- Sketch the quadrilateral \(ABCD\) with vertices \(A(3, 1)\), \(B(2, 5)\), \(C(1, 7)\), and \(D(-3, 4)\) in a graph. Rotate the quadrilateral \(ABCD\) about the origin through \(90^\circ\) in positive direction, and write down the vertices of image quadrilateral \(A'B'C'D'\).[3A]
- Plot \(\triangle ABC\) with vertices \(A(-3, 2)\), \(B(0, 5)\), and \(C(3, -1)\) on a graph paper, then plot the image \(\triangle A'B'C'\) after rotation through \(+90^\circ\) about origin on the same graph paper, and write the coordinates of \(A'\), \(B'\), and \(C'\).[3A]
- Draw a triangle with vertices \(A(3, 6)\), \(B(1, 8)\), and \(C(1, -3)\) on a graph paper, then find the co-ordinates of image of the triangle \(ABC\) under rotation through \(+90^\circ\) about origin, and show the image on the same graph.[3A]
- Draw \(\triangle ABC\) having the vertices \(A(2, 0)\), \(B(3, 1)\), and \(C(1, -1)\) on a graph paper, and rotate it through \(-90^\circ\). Present the image \(\triangle A'B'C'\) on the same graph paper.[3A]
- Draw square \(ABCD\) with vertices \(A(0, 0)\), \(B(3, 0)\), \(C(3, 3)\), and \(D(0, 3)\) on a graph paper. Rotate square \(ABCD\) about the origin through \(-90^\circ\) and write down the vertices of square \(A'B'C'D'\).[3A]
Transformation Geometry_8
By
MEAN
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