Question

1. Define inductive reasoning and explain its purpose in mathematics.
Define deductive reasoning and explain its purpose in mathematics.

Answer 1

http://en.wikipedia.org/wiki/Inductive_reasoning

Answer 2

@willreel

Answer 3

hey idk but this might help!(: https://www.butte.edu/departments/cas/tipsheets/thinking/reasoning.html

Answer 4

@aaronq

Answer 5

@Hotchellerae21

Answer 6

idek sorry :c

Answer 7

thats ok thans anyway maybe you can help me with another question

Answer 8

kk

Answer 9

i only need c.

Answer 10

umm i really don't know sorry :c

Answer 11

@hhelpplzzzz

Answer 12

Congruent triangles are triangles that have vertices that can be matched up so that the corresponding parts (angles and sides) are the same

Answer 13

srry but thats all i know

Answer 14

@DisplayError

Answer 15

Thank you @hhelpplzzzz

Answer 16

From the diagram you provided, we see that sides AB and BC are the same. Notice that triangles ABD and BCD share the sides BD. Also note that both triangles ABD and BCD have a 90 degree angle ABD and CBD respectively. Notice that the angle that is the same in both triangles is in between the two shared (equal) sides. We thus have a SAS (side-angle-side) relationship between the two triangles ABD and BCD and therefore, we can say that ABD and BCD are congruent.

This website may explain it better: http://www.mathwarehouse.com/geometry/congruent_triangles/side-angle-side-postulate.php

Answer 17

so would that be for part c? @DisplayError

Answer 18

cause that is what i got for part a?

Answer 19

@DisplayError

Answer 20

Part C would be the side, angle, and side of each triangle that is used in the SAS relationship. In this case, the corresponding sides would be side AB and BC (they're given as equal), side BD (it's a shared side by both triangles) and angle ABD and CBD (as they're both equal to 90 degrees).

Answer 21

so part c is AB and BC @DisplayError

Answer 22

That's only one pair of corresponding sides. The SAS relationship requires two pairs of corresponding sides and a pair of corresponding angles.

Answer 23

ok so ABD and CBD as well right @DisplayError

Answer 24

@jim_thompson5910

Answer 25

breaking up the triangles may help

Answer 26

from that drawing, we see...

Corresponding sides:

AB and BC
BD and BD
AD and CD


Corresponding angles:

ADB and CDB
ABD and CBD
BAD and BCD