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sergeinik [125]
3 years ago
6

Which postulate or theorem proves that these two triangles are congruent?

Mathematics
2 answers:
Sedbober [7]3 years ago
8 0

Answer:

ASA Congrence Postulate

Step-by-step explanation:

Let us consider the Triangle FGJ and triangle GJH

1) angle GFJ =angle GHJ (given in the figure )

2) GJ=GJ (common side for both the triangles)

3)angle FGJ =angle GJH (alternate interior angles )

So, from  the points (1),(2) and (3) we can say that both the triangle are congruent by ASA congruency .

Alla [95]3 years ago
4 0

AAS congruence theorem.


We know that <H is congruent to <F and <GJH is congruent to <JGF.

We also know that JG is congruent to JG, which gives us a side and two angles, so AAS would prove them congruent.

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Circle U is shown. Chords R T and Q S intersect at a point forming 4 angles. The top left angle is angle 1, and the top right an
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Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.

<h3>What is the theorem of intersecting chord?</h3>

The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.

By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:

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Read more on intersecting chords here: brainly.com/question/27251228

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