Question

Which are the coordinates of the vertices of a triangle congruent to ΔPQR?

(0,5), (2,10), (0,10)
(9,−3), (9,0), (4,0)
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)

Answer 1

Answer: C

(4,3), (−4,8), (−4,3)

Explanation:

Just did it on Edge

Answer 2

(4,3), (−4,8), (−4,3)

(2.5,−4), (0,0), (0,−4)

Explanation:

On plotting on graph all form right angled triangle.

Dimension of all triangles and tanФ

1. Base=2 Height=5 tanФ 2.5
2. Base=5 Height=3 tanФ 1.6
3. Base=8 Height=5 tanФ 1.6
4. Base =2.5 Height=4 tanФ 1.6

[Here base and height can be interchanged if needed]

Ratio of perpendicular and base of last two triangle is equal.

First two are not congruent to any of other triangle but 3rd and 4th triangle are congruent .

Their coordinates are:

(4,3), (−4,8), (−4,3)

(2.5,−4), (0,0), (0,−4)