angie0000
28.06.2019 •
Mathematics
The provided diagram of triangle abc will you to prove that the base angles of an isosceles triangle are congruent. the first step is to draw auxiliary line ao. what must be true about in order to complete the proof using the asa (angle side angle) triangle congruency theorem? classify each statement as needed or not needed to complete the proof. ao bisects bac ao is perpendicular to bc point o is the midpoint of bc ao is an altitude. answer choices are: needed not needed
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Ответ:
AO bisects BAC - Needed
AO is perpendicular to BC - Needed
Point O is the midpoint of BC - Not needed
AO is an altitude - Not needed
Step-by-step explanation:
In ΔAOB,
<BOA = 90° (since AO is perpendicular to BC )<BAO =In ΔAOC,
<COA = 90° (since AO is perpendicular to BC )<CAO =In ΔAOB and ΔAOC,
<BOA = <COA (since both are 90°)<BAO = CAO (since AO bisects BAC)AO=AOSo, we can conclude ΔAOB ≅ ΔAOC (ASA property) and hence the base angles <ABO and < ACO of the isosceles triangle ABC are also congruent.
Ответ:
I did this:
1. Needed
2. Needed
3. Not Needed
4. Needed
Step-by-step explanation:
Ответ:
6y=x+18
(2 times the larger number) - (the smaller number) = 6
2y-x=6