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soldier1979 [14.2K]

2 years ago

13

[PLSSS HELP] Which congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ?

2 answers:

luda_lava [24]2 years ago

6 0

Answer: LA and AAS

Step-by-step explanation:

In the given picture , we have two angles and one non-included side is given to be congruent.

LA theorem says that if the leg and an acute angle of a right triangle are congruent to the corresponding leg and acute angle of other right triangle then the triangles are said to be congruent.

AAS theorem says that if two angles and any side of a triangle are congruent to two angles and any side of other triangle then the triangles are said to be congruent.

Thus the congruence theorems could be given as reasons why LMN is congruent to OPQ are :-

LA and AAS

SAS , HL, LL need two equal corresponding sides, which is missing here.

ASA postulate needs included side between two equal corresponding angles.

Sergio [31]2 years ago

4 0

It would be: Angle-Angle-side & Leg-Acute

In short, Marked answers are correct

Hope this helps!

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den301095 [7]

Answer:

Part A)

The equation in the point-slope form is:

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Part B)

The graph of the equation is attached below.

Step-by-step explanation:

Part A)

Given

The point = (-2, 11)

m = 4/3

The point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (-2, 11) in the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Thus, the equation in the point-slope form is:

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Part B)

As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3

The graph of the equation is attached below.

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