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