Question

triangle abc is rotated 45° about point x, resulting in triangle efd. figure may not be drawn to scale. if ef = 4.2 cm, df = 3.6 cm, and de = 4.5 cm, what is cb? ○ 3.3 cm ○ 3.6 cm ○ 4.2 cm ○ 4.5 cm

Explanation:

Step1: Recall Rotation Property

Rotation is a rigid transformation, so corresponding sides of the original and rotated triangles are equal. So, \( \triangle ABC \cong \triangle EFD \) (congruent triangles).

Step2: Identify Corresponding Sides

In congruent triangles, \( CB \) corresponds to \( DF \). Given \( DF = 3.6 \, \text{cm} \), so \( CB = DF \).

Answer:

3.6 cm (Option B: 3.6 cm)