Math / Geometry

QuestionComplete the congruence statement. $I H G F \cong$ $\square$

Studdy Solution

STEP 1

1. Quadrilateral $IHGF$ is congruent to quadrilateral $RQSP$ .
2. Corresponding sides and angles of congruent quadrilaterals are equal.
3. The order of vertices in the congruence statement must match corresponding parts.

STEP 2

1. Identify corresponding vertices.
2. Write the congruence statement.

STEP 3

Identify corresponding vertices based on the given side lengths and angles:
- $I$ corresponds to $R$ (both have an angle of $30^\circ$ ). - $H$ corresponds to $Q$ (both have an angle of $150^\circ$ ). - $G$ corresponds to $S$ (both have an angle of $30^\circ$ ). - $F$ corresponds to $P$ (both have an angle of $150^\circ$ ).

STEP 4

Write the congruence statement using the identified corresponding vertices:
$I H G F \cong R Q S P$
The complete congruence statement is:
$\boxed{I H G F \cong R Q S P}$

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