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belka [17]
3 years ago
14

I just need these questions answered, there is no requirement for any explanation! If anybody could assist, that would be great!

Mathematics
1 answer:
koban [17]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Q9.    Statement                      Reason

1)     \angle ABD \cong \angle CBD               Given

2)   \overline{AB}\cong \overline{CB}                           Given

3)   \overline{BD}\cong \overline {BD}                           Reflexive property

4)   \triangle ABD\cong \triangle CBD               SAS postulate

5)   \angle A\cong \angle C                            Corresponding parts of congruent triangles are congruent.

Q8. Statement                       Reason

1)    \overline{AD}\parallel \overline{BC}                           Given

2)   \angle A\cong \angle C                           Alternate interior theorem

3)   \angle AED\cong \angle CEB                Vertical angles theorem

4)   \overline{AE}\cong \overline{EC}                          Given

5)   \triangle AED\cong \triangle CEB              ASA postulate

Q7.  

1) \overline{BC}\cong \overline {EF}   - Given

\angle CBA\cong \angle FED - Given

Pairs of needed sides or pair of needed angles:

\overline{AB}\cong \overline{DE}

The postulate or theorem that can be used to prove the triangles are congruent:

SAS postulate

2) \overline{BC}\cong \overline {EF}   - Given

\overline{AC}\cong \overline {DF} - Given

Pairs of needed sides or pair of needed angles:

\overline{AB}\cong \overline{DE}

The postulate or theorem that can be used to prove the triangles are congruent:

SSS postulate

3) \overline{BC}\cong \overline {EF}   - Given

\angle CBA\cong \angle FED - Given

Pairs of needed sides or pair of needed angles:

\angle ACB\cong \angle DFE

The postulate or theorem that can be used to prove the triangles are congruent:

ASA postulate

4) \overline{BC}\cong \overline {EF}   - Given

\angle CBA\cong \angle FED - Given

Pairs of needed sides or pair of needed angles:

\angle CAB\cong \angle FDE

The postulate or theorem that can be used to prove the triangles are congruent:

AAS postulate

Q10.  Statement         Reason

1) \angle MCI\cong \angle AIC        Given

2) \overline{MC}\cong \overline{AI}                Given

3) \overline{CI}\cong \overline{CI}                  Reflexive property

4) \triangle MCI\cong \triangle AIC      SAS postulate

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