Question

Determine whether triangle TJD is congruent to triangle SEK
given
T (-4,-2), J (0,5), D (1,-1), S (-1,3), E (3,10), K (4,4)
and explain the reason.

Answer 1

plot the points on a grid, then use the distance formula to calculate the side lengths. you can prove congruency via SSS (the two triangles share all 3 side lengths)

\[d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\]

for example, to calculate the length of TJ, simply plug in T (-4,-2), J (0,5) into the formula. let x1, y1 = -4 and -2, and x2, y2 = 0 and 5