Question 2 - Think and Reflect (Page 11) - Distance between Two Points in the 2-D Plane - Chapter 1 Class 9 - Orienting Yourself: The Use of Coordinates (Ganita

Transcript

Question 2 - Think and Reflect (Page 11) Would these observations be the same if ΔADM is reflected in the x-axis (instead of the y-axis)? Let’s try reflecting ∆ ADM across x-axis Yes, the observations would be the same Because If we reflected the triangle across the horizontal 𝑥-axis (down into Quadrant IV), the 𝒙-coordinates would stay the same, but the 𝒚-coordinates would flip from positive to negative. However, because the distance formula squares the differences, the side lengths (and therefore the size and shape of the triangle) would still be perfectly preserved.