Question

help me

In ΔABC shown below, ∠BAC is congruent to ∠BCA:
Triangle ABC, where angles A and C are congruent


Given: Base ∠BAC and ∠ACB are congruent.

Prove: ΔABC is an isosceles triangle.

When completed (fill in the blanks), the following paragraph proves that Line segment AB is congruent to Line segment BC making ΔABC an isosceles triangle.

Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment AC as point D:
m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector.

Answer 1

do you can drawing this triangle ? will help you understanding your posted exercise sure

Answer 2

do you know what mean isosceles triangle ?

Answer 3

please collaborate bc. i not can help you without ,sorry

Answer 4

Given the angles BAC and BCA are equal, show BA=BC

draw a perpendicular altitude for triangle ABC, intersecting AC at some point D at a right angle.
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Answer 5

BD=BD from reflexive property

Triangles BAD and BCD are congruent from , angle-angle-side

Answer 6

corresponding parts are congruent, BA=BC