Question

What is a sequence of steps used to move the triangle and quadrant before to the triangle on a quadrant 2 to show that the triangles are congruent one reflection of a quadrant III then translation of -16 2 reflection to quadrant one and then it translation translation of three, two

Answer 1

To move the triangle from Quadrant II to Quadrant III and show that the triangles are congruent, the following sequence of steps can be followed:

Step 1: Reflect the triangle across the x-axis to move it from Quadrant II to a reflection in Quadrant III.

Step 2: Perform a translation of -16 units in the x-direction and 2 units in the y-direction to move the triangle to the desired position.

To further clarify the sequence:

Step 1: Reflection in Quadrant III
- Mirror the original triangle across the x-axis to create a reflective image of the triangle in Quadrant III.

Step 2: Translation by (-16, 2)
- Move the reflected triangle by shifting it 16 units to the left (negative x-direction) and 2 units up (positive y-direction).

After completing these two steps, the triangle will have undergone a reflection and translation, resulting in its final position in Quadrant I.

To make an additional transformation of reflection in Quadrant I followed by a translation of (3, 2):

Step 1: Reflection in Quadrant I
- Reflect the triangle across the y-axis to create a symmetry in Quadrant I.

Step 2: Translation by (3, 2)
- Move the reflected triangle by shifting it 3 units to the right (positive x-direction) and 2 units up (positive y-direction).

After this sequence of steps, the triangle will undergo another reflection and translation, ultimately ending in a new position determined by the given translation values.