Suppose △ ith ≅ △ apg which congruency statement is true? a) ih ≅ ag b) th ≅ ag c) it ≅ ag d) th ≅ ap

7 answers
Question:

Suppose △ ith ≅ △ apg which congruency statement is true? a) ih ≅ ag b) th ≅ ag c) it ≅ ag d) th ≅ ap

Answers

To figure this question out, I recommend the FOIL method.

F: First
O: Outer
I: Inner
L: Last

Statement A is true. IH and AG in the FOIL method is the Outer.

A) IH ≅ AG

Step-by-step explanation:

A property of congruent triangles is known as CPCTC which says that the congruent parts of the corresponding triangle are congruent.

We are given that Δ ITH ≅ Δ APG , then the every part of Δ ITH must be congruent to the corresponding part of  Δ APG.

i.e. Corresponding sides of Δ ITH and Δ APG  are congruent.

Since Side IH in Δ ITH  is corresponding to side AG in Δ APG  [First and last letter]

Then, IH ≅ AG

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

[tex]IT \cong AP, TH \cong PG, IH \cong AG[/tex]

Therefore, [tex]IH \cong AG[/tex]

SO, Option 2 is the correct answer.

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

[tex]IT \cong AP, TH \cong PG, IH \cong AG[/tex]

Therefore, [tex]IH \cong AG[/tex]

SO, Option 2 is the correct answer.

D. ∠THI≅∠PGA is the correct answer

Iam doing the same thing.i think the answer is    ih≅ag

△ITH≅△APG.

answer
B. IH = AG

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