Math / Geometry

QuestionComplete the congruence statement. $M L O N \cong$ $\square$

Studdy Solution

STEP 1

1. We are given two quadrilaterals: MLON and VUWX.
2. The sides and angles of quadrilateral MLON match exactly with those of quadrilateral VUWX.
3. Congruent quadrilaterals have corresponding sides and angles that are equal.

STEP 2

1. Identify the corresponding vertices of the quadrilaterals.
2. Write the congruence statement using the identified vertices.

STEP 3

Identify the corresponding vertices of the quadrilaterals based on the given side lengths and angles:
- $M$ corresponds to $V$ (both have an angle of $101^\circ$ ) - $L$ corresponds to $U$ (both have an angle of $127^\circ$ ) - $O$ corresponds to $W$ (both have an angle of $89^\circ$ ) - $N$ corresponds to $X$ (both have an angle of $43^\circ$ )

STEP 4

Write the congruence statement using the corresponding vertices:
$M L O N \cong V U W X$
The completed congruence statement is:
$\boxed{M L O N \cong V U W X}$

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