I. Let xOy be an angle, A and are two points on [Ox), C and D are two points on [Oy)such that OC = OA and OD = OB.
a) Show that triangles OAD and OCB are congruent.
b) Give the corresponding congruent elements.
c) Prove that AB = CD.
d) Let I be the point of intersection of [AD] and [BC]. Show that the two triangles IAB and ICD
are congruent.
e) Compare IA and IC.
f) Prove that (OI) is bisector of xOy

1. Angle-Side-Angle (ASA) Postulate

2. corresponding parts of congruent triangles are congruent (CPCTC)

Step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

step-by-step explanation: