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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.

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.

jhonyy9 · Answer

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

jhonyy9 · Answer

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jhonyy9 · Answer

do you know what mean isosceles triangle ?

jhonyy9 · Answer

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

danjs · Answer

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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danjs · Answer

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danjs · Answer

BD=BD from reflexive property

Triangles  BAD and BCD are congruent from , angle-angle-side

danjs · Answer

corresponding parts are congruent,  BA=BC