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Dima020 [189]
3 years ago
5

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

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

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}

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