Question

question 6 of 10 which of the following steps were applied to △abc obtain △abc? a. shifted 3 units right and 3 units up b. shifted 3 units right and 2 units up c. shifted 4 units right and 3 units up

Explanation:

Step1: Observe point - to - point movement

Take a vertex of \(\triangle ABC\), say \(A\). Let the coordinates of \(A\) be \((x_1,y_1)\) and of \(A'\) be \((x_2,y_2)\).

Step2: Calculate horizontal shift

Count the number of grid - squares moved horizontally from \(A\) to \(A'\). If \(x_2−x_1>0\), it is a right - shift.

Step3: Calculate vertical shift

Count the number of grid - squares moved vertically from \(A\) to \(A'\). If \(y_2 - y_1>0\), it is an up - shift.
Suppose \(A=(2,5)\) and \(A'=(5,8)\). The horizontal shift is \(x_2 - x_1=5 - 2=3\) (right - shift) and the vertical shift is \(y_2 - y_1=8 - 5 = 3\) (up - shift).

Answer:

A. Shifted 3 units right and 3 units up