subject
Mathematics, 08.11.2020 07:00 Dee1738

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? 1. It is given that C is the incenter of triangle ABD, so segment BC is an altitude of angle ABD.
2. Angles ABC and DBC are congruent according to the definition of an angle bisector.
3. Segments AB and DB are congruent by the definition of an isosceles triangle.
4. Triangles ABC and DBC share side BC, so it is congruent to itself by the reflexive property.
5. By the SAS postulate, triangles ABC and DBC are congruent.

Image Description: Triangle ABD with segments BC, DC, and AC drawn from each vertex and meeting at point C inside triangle ABD.

Options:
A. There is an error in line 1; segment BC should be an angle bisector.
B. The proof is correct.
C. There is an error in line 3; segments AB and BC are congruent.
D. There is an error in line 5; the ASA Postulate should be used.


C is the incenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correc

ansver
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 15:00, kkruvc
Ascatterplot is produced to compare the size of a school building to the number of students at that school who play an instrument. there are 12 data points, each representing a different school. the points are widely dispersed on the scatterplot without a pattern of grouping. which statement could be true
Answers: 1
image
Mathematics, 21.06.2019 16:30, kiasiab17
The table above shows approximate conversions from gallons to liters. what is the value of x?
Answers: 2
image
Mathematics, 22.06.2019 02:30, jorell
What is the difference between –12 and –5? what is the distance between –12 and –7 on a number line? units
Answers: 1
image
Mathematics, 22.06.2019 04:00, makaylaf395
Grace paid $1.70 for 5 ounces of candy. how much did she pay for 24 ounces?
Answers: 1
You know the right answer?
C is the incenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correct...

Questions in other subjects:

Konu
Mathematics, 26.10.2019 10:43