Where is the other endpoint located if the midpoint is at (0,-5) and one of the endpoints is (-3,-2)?

Mathematics

1 answer:

GuDViN [60]2 years ago

3 0

Answer:

3,-8

Step-by-step explanation:

x: from -3 to 0 is +3 add +3 more 3

y: from -2 to -5 is -3 add -3 more -8

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Is triangle MNL congruent to triangle QNL? Why or why not? Yes, they are congruent by either ASA or AAS. Yes, they are both righ

sergij07 [2.7K]

See the attached figure which represent the rest of the question.
The rest of the question is the attached figure.
==============================================
As shown in the attached figure:
(1) ΔMNL is a right triangle at ∠MNL and ∠NML = 58°
∴ ∠L = 180° - (90°+58°) = 32°

(2) ΔQNL is a right triangle at ∠QNL and ∠QLN = 32°
∴ ∠Q = 180° - (90°+32°) = 58°

So, for both of ΔMNL and ΔQNL
1. ∠NLM = ∠ NLQ = 32°
2. ∠Q = ∠M = 58°
3. side NL = side NL
∴ ΔMNL is congruent to ΔQNL by AAS

=======OR=======

So, for both of ΔMNL and ΔQNL
1. ∠MNL = ∠QNL = 90°
2. side NL = side NL
3. ∠NLM = ∠ NLQ = 32°
∴ ΔMNL is congruent to ΔQNL by ASA

=====================================
So, the correct answer is the first option

Yes, they are congruent by either ASA or AAS