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AveGali [126]
2 years ago
15

Please please help me with number 8

Mathematics
1 answer:
san4es73 [151]2 years ago
4 0
Hello. This might not be the least of helpful but your over thinking this a little bit to much, this is very easy so here is what I want you to do, I want you to calm down and clear everything out of your mind, then you'll start seeing things you haven't. I'm a sixth grader studying 7th grade math, I over think the questions to much so I have a hard time also please don't watch YouTube while doing your homework
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Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)

Step-by-step explanation:

<u>Given</u>: PG ≅ SG and PT ≅ ST

<u>To Prove</u>: ∠GPT ≅ ∠GST

<u>Proof</u>:  PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

<u>SSS Congruency Axiom</u>:  If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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