Question

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

Answer 1

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.
∠BDA is congruent to ∠BDC by the definition of congruent angles.
Line segment AD is congruent to Line segment DC of a perpendicular bisector.

ΔBAD is congruent to ΔBCD by_____1_______.
Line segment AB is congruent to Line segment BC because____2_____.

Consequently, ΔABC is isosceles by definition of an isosceles triangle.

Answer 2

1. corresponding parts of a congruent triangles are congruent (CPCTC)
2. the definition of a perpendicular bisector


1. the definition of a perpendicular bisector
2. the definition of congruent angles

1. the definition of congruent angles
2. the definition of a perpendicular bisector

1. Angle Side Angle (ASA) postulate
2. corresponding parts of congruent triangles are congruent (CPCTC)

Answer 3

I say its D

Answer 4

@Loser66 @whpalmer4 @uri @Data_LG2

Answer 5

Idk

Answer 6

thnx anyways bruh~

Answer 7

@Teddyiswatshecallsme @Jaynator495

Answer 8

@yourmom

Answer 9

lol

Answer 10

@zepdrix

Answer 11

@KendrickLamar2014

Answer 12

@uri

Answer 13

Did you follow the instructions on your problem? If so,can you show us what you did? From that, we'll see which of the choices is right.

Answer 14

Yay I helped

Answer 15

From the drawing above, can you "construct a perpendicular bisector from B to AC" please.

Answer 16

i think i chose it by just filling in the blanks lol
like i chose ASA and CPCTC because i tried to match them up with the sentence the blanks are in with ther definitions