Use ΔABC shown below to answer the question that follows:
Triangle ABC with segment AD drawn from vertex A and intersecting side BC.
Which of the following must be given to prove that ΔABC is similar to ΔDBA?
Segment AD is an altitude of ΔABC.
Segment CB is a hypotenuse.
Segment CA is shorter than segment BA.
Angle C is congruent to itself.
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>> prove that ΔABC is similar to ΔDBA?
To get the triangles similar, use the AA postulate which states that you need two pairs of congruent angles to get the triangles similar.
From the given correspondence:
ΔA B C is similar to ΔD B A , you have one pair of congruent angles by the Reflexive Property.
Now, you need a second pair of angles.
The large triangle BAC has a right angle.
You will need a right angle to match it in the smaller triangle DBA.
Question: Which one of the options will form a right angle in triangle DBA.
The answer is not C.
Im not sure is it a?
because that is true right?
Which option would give a right angle here? Look at the attachment, okay?