Question

PLEASE HELP ASAP 2 QUESTION ON CONGRUENT TRIANGLES I WILL GIVE BRAINIEST

Answer 1

Answer:

See explanation

Step-by-step explanation:

Q11.     Statement            Reason

1. $\overrightarrow {MO}$ bisects $\angle PMN$     Given

2. $\angle PMO\cong \angle NMO$        Definition of angle bisector

3. $\overline{MO}\cong \overline{MO}$                   Reflexive property

4.  $\overrightarrow {OM}$ bisects $\angle PON$    Given

5. $\angle POM\cong \angle NOM$        Definition of angle bisector

6. $\triangle PMO\cong \triangle NMO$       ASA postulate

Q13.

1. Consider triangles ACB and DCE. In these triangles,

• $\overline{BC}\cong \overline{EC}$ - given;
• $\overline{AC}\cong \overline{DC}$ - given;
• $\angle ACB\cong \angle DCE$ - as vertical angles (by vertical angles theorem)

Hence, triangles ACB and DCE are congruent by SAS postulate.

2. congruent triangles have congruent corresponding sides, so

$\overline{BA}\cong \overline{ED}$