Lesson 6: geometry a unit 3: reasoning and proof

1. One way to show that a statement is not a good definition is to find a counterexample. A counterexample refers to an exception to the rule, if we deduct that exception is true, then the proposition is completely false. In this case, we have to find an exception to the definition, if the exception is true, then the definition is not true.

2. The option that show a true conditional is the fourth: If it's raining, then the humidity level is 100%. This shows the correct logical conditional, other options are not logical. In this case, the hypothesis is "if it's raining", and the conclusion is "the humidity is 100%". This is the right order, because humidity derive from raining, not the opposite.

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.