Question

Complete the congruence statement
IHG
I = 43 in
H = 31 in
G = 18 in
and the inside of the triangle is 119°, 39°, 22°

Answers

Answered by GPT-4o mini
To complete the congruence statement for triangle IHG, we should note the lengths of the sides and the measures of the angles you provided. The convention for expressing the congruence of triangles uses either sides or angles, so we can either express the sides or the angles in the congruence statement.

Given:
- Side lengths:
- I = 43 in
- H = 31 in
- G = 18 in

- Angles:
- Angle at I (∠I) = 119°
- Angle at H (∠H) = 39°
- Angle at G (∠G) = 22°

### Congruence Statement Using Angles

When comparing with another triangle, for example triangle ABC, the congruence can be written based on angles:

**If triangle ABC has measures corresponding to triangle IHG as follows:**
- ∠A = 119°
- ∠B = 39°
- ∠C = 22°

Then the congruence statement can be written as:
\[
\triangle IHG \cong \triangle ABC
\]

### Congruence Statement Using Sides

If you're using the sides instead, a similar statement can be made. Assuming triangle DEF has corresponding side lengths:

- D = 43 in
- E = 31 in
- F = 18 in

Then the congruence statement can be:

\[
\triangle IHG \cong \triangle DEF
\]

### Final Assignment

Assuming no other triangles are being compared, the complete congruence statement for triangle IHG can take either of the forms above, depending on whether you're using angles or sides in your comparison. Just make sure that the corresponding sides/angles match correctly when comparing with another triangle.
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