Question

date: ____ per: ____
this is a 2 - page document!
directions: list all congruent angles and write a proportion that relates the corresponding sides.

1. $\triangle fgh \sim \triangle jkh$

(there is a diagram with triangles $fgh$ and $jkh$ intersecting at $h$)

angles	sides

Explanation:

Step1: Identify congruent angles

From $\Delta FGH \sim \Delta JKH$, corresponding angles are congruent:
$\angle F \cong \angle J$, $\angle G \cong \angle K$, $\angle FHG \cong \angle JHK$

Step2: Write side proportion

Corresponding sides of similar triangles are proportional:
$\frac{FG}{JK} = \frac{GH}{KH} = \frac{FH}{JH}$

Answer:

Congruent Angles:

$\angle F \cong \angle J$
$\angle G \cong \angle K$
$\angle FHG \cong \angle JHK$

Side Proportion:

$\boldsymbol{\frac{FG}{JK} = \frac{GH}{KH} = \frac{FH}{JH}}$