Find the coordinates of a point in Quadrant 3 that makes the following triangles congruent. Triangle GHJ: G(1,−6), H(2,−5), J(2,1) Triangle NOP: N(−6,1), O(−5,2)

Step-by-step explanation:

Plot the points first:

Missing Point P is in quadrant 3and its coordinates are (-6, -5) as per symmetry with triangle GHJ.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

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europa2433

step-by-step explanation: