Question

due no due date points 1 submitting an external

1. $\triangle abccong\triangle efg$ 8.
2. $angle ccongangle g$ 9.
3. $overline{bc}congoverline{fg}$ 10.
4. $\triangle bdccong\triangle fhg$ 11.
5. $overline{bd}congoverline{fh}$ 12.
6. reason 9:

aas
definition of perpendicular lines
definition of an altitude
cpctc

Explanation:

CPCTC (Corresponding Parts of Congruent Triangles are Congruent) states that if two triangles are congruent, then their corresponding parts (angles and sides) are congruent. Since \(\triangle ABC\cong\triangle EFG\) (given in step 8), then \(\angle C\) (which is a part of \(\triangle ABC\)) and \(\angle G\) (which is the corresponding part of \(\triangle EFG\)) must be congruent by CPCTC.
AAS (Angle - Angle - Side) is a triangle congruence criterion, not a reason for congruence of parts of already - congruent triangles. The definition of perpendicular lines is about lines intersecting at \(90^{\circ}\), which is not relevant here. The definition of an altitude is about a segment from a vertex perpendicular to the opposite side, also not relevant for the congruence of \(\angle C\) and \(\angle G\).

Answer:

CPCTC