Question

what values of a and b make (\triangle ijkcong\triangle fhg)?

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle IJK\cong\triangle FHG\), corresponding sides are equal.
For side \(a\) and \(14\): \(a = 14\) (corresponding sides of congruent triangles).
For side \(7b\) and \(42\): \(7b=42\).

Step2: Solve for \(b\)

Divide both sides of \(7b = 42\) by \(7\): \(b=\frac{42}{7}\).

Answer:

\(a = 14\), \(b = 6\)