Math / Geometry

QuestionComplete the congruence statement. $\triangle F E G \cong \triangle$ $\square$ Submit
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Studdy Solution

STEP 1

1. The triangles are labeled as $\triangle FEG$ and $\triangle LKJ$ .
2. The right angles are at $F$ and $L$ respectively.
3. Sides $FG$ and $LK$ have one tick mark each, indicating they are congruent.
4. Sides $FE$ and $LJ$ have two tick marks each, indicating they are congruent.

STEP 2

1. Identify the corresponding parts of the triangles.
2. Write the congruence statement using the identified corresponding parts.

STEP 3

Identify the corresponding parts of the triangles:
- Right angle at $F$ corresponds to right angle at $L$ . - Side $FG$ (one tick mark) corresponds to side $LK$ (one tick mark). - Side $FE$ (two tick marks) corresponds to side $LJ$ (two tick marks).

STEP 4

Write the congruence statement using the identified corresponding parts:
The congruence statement is:
$\triangle FEG \cong \triangle LKJ$
The completed congruence statement is:
$\boxed{\triangle FEG \cong \triangle LKJ}$

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