Last night I was reading in my scriptures (yes mom I am reading) and I came across a beautiful phrase "tender mercies". It made me think of a talk that addressed the "tender mercies of the lord". As I thought about this talk it brought into my mind the "tender mercies of the lord" that I have seen recently in my life. I have been working very hard on trying to get school finished up for the semster. Yet there is this one math problem that no matter how hard I looked at it, I could not figure it out. I studied and I studied and it still did not seem to help. I was on the right path but I was not able to ge the complete answer. I became very upset. I then spoke with someone at my school who was able to get me in touch with someone that could help me solve this problem. Finally today I was able to work with them and they helped me see what I was missing and finish up the problem. And the problem passed the grade!!! I was so excited and in that moment I thought "tender mercy of the lord". I feel so blessed an I know that when I put in the work and effort that he will try and meet me hafl way. I have attached the problem for all of you to see. For some reason the triangle did not show up, but imagine a triangle between all of those points.
A
B D C
Given:
Prove: ABC is isosceles
An isosceles triangle is defined by a triangle with two congruent sides.
STATEMENTS | REASONS |
Angle BAD is congruent to Angle CAD | Given |
Line AD is perpendicular to line BC | Given |
Line AD is congruent to line AD | Reflexive property |
Angle BDA and Angle CDA are right angles | Definition of Perpendicular lines: two lines that intersect to form a right angles. |
Angle ADB is congruent to Angle ADC | Right angle congruent theorem |
Triangle BAD is congruent to Triangle CAD | ASA Theorem |
AB is congruent to AC | CPCTC theorem |
Triangle ABC is an isosceles | Definition of an Isosceles: A triangle with two congruent sides. |
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