subject
Mathematics, 21.09.2021 22:40 allisonatalie6654

C is the incenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABC and DBC are congruent? It is given that C is the incenter of triangle ABD, so segment BC is an altitude of angle ABD. Angles ABC and DBC are congruent according to the definition of an angle bisector. Segments AB and DB are congruent by the definition of an isosceles triangle. Triangles ABC and DBC share side BC, so it is congruent to itself by the reflexive property. By the SAS postulate, triangles ABC and DBC are congruent. Triangle ABD with segments BC, DC, and AC drawn from each vertex and meeting at point C inside triangle ABD. There is an error in line 1; segment BC should be an angle bisector. The proof is correct. There is an error in line 3; segments AB and BC are congruent. There is an error in line 5; the ASA Postulate should be used.

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 15:00
Solve the equation using the given values: x= -2.5; y= -7.51. 2xy + 2x²
Answers: 3
question
Mathematics, 21.06.2019 15:30
The diameter of a circular chip is doubled to use in a new board game. the area of the new chip will be
Answers: 2
question
Mathematics, 21.06.2019 15:40
Given the following sampling distribution of one mean with a sample size 49, from a normally distributed population,find the population standard deviation, o.79828588912497
Answers: 3
question
Mathematics, 21.06.2019 19:30
Which of the points a(6, 2), b(0, 0), c(3, 2), d(−12, 8), e(−12, −8) belong to the graph of direct variation y= 2/3 x?
Answers: 2
You know the right answer?
C is the incenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correct...
Questions
Questions on the website: 13722361