Respuesta :

frika

Answer:

See explanation

Step-by-step explanation:

Q9.    Statement                      Reason

1)     [tex]\angle ABD \cong \angle CBD[/tex]               Given

2)   [tex]\overline{AB}\cong \overline{CB}[/tex]                           Given

3)   [tex]\overline{BD}\cong \overline {BD}[/tex]                           Reflexive property

4)   [tex]\triangle ABD\cong \triangle CBD[/tex]               SAS postulate

5)   [tex]\angle A\cong \angle C[/tex]                            Corresponding parts of congruent triangles are congruent.

Q8. Statement                       Reason

1)    [tex]\overline{AD}\parallel \overline{BC}[/tex]                           Given

2)   [tex]\angle A\cong \angle C[/tex]                           Alternate interior theorem

3)   [tex]\angle AED\cong \angle CEB[/tex]                Vertical angles theorem

4)   [tex]\overline{AE}\cong \overline{EC}[/tex]                          Given

5)   [tex]\triangle AED\cong \triangle CEB[/tex]              ASA postulate

Q7.  

1) [tex]\overline{BC}\cong \overline {EF}[/tex]   - Given

[tex]\angle CBA\cong \angle FED[/tex] - Given

Pairs of needed sides or pair of needed angles:

[tex]\overline{AB}\cong \overline{DE}[/tex]

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

SAS postulate

2) [tex]\overline{BC}\cong \overline {EF}[/tex]   - Given

[tex]\overline{AC}\cong \overline {DF}[/tex] - Given

Pairs of needed sides or pair of needed angles:

[tex]\overline{AB}\cong \overline{DE}[/tex]

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

SSS postulate

3) [tex]\overline{BC}\cong \overline {EF}[/tex]   - Given

[tex]\angle CBA\cong \angle FED[/tex] - Given

Pairs of needed sides or pair of needed angles:

[tex]\angle ACB\cong \angle DFE[/tex]

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

ASA postulate

4) [tex]\overline{BC}\cong \overline {EF}[/tex]   - Given

[tex]\angle CBA\cong \angle FED[/tex] - Given

Pairs of needed sides or pair of needed angles:

[tex]\angle CAB\cong \angle FDE[/tex]

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

AAS postulate

Q10.  Statement         Reason

1) [tex]\angle MCI\cong \angle AIC[/tex]        Given

2) [tex]\overline{MC}\cong \overline{AI}[/tex]                Given

3) [tex]\overline{CI}\cong \overline{CI}[/tex]                  Reflexive property

4) [tex]\triangle MCI\cong \triangle AIC[/tex]      SAS postulate

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