Which of the following can be used to explain a statement in a geometric proof? check all that apply.
a-theorem
b-corollary
c-postulate
d-contradiction
e-definition

The correct answers are:

A-theorem ; B-corollary ; C-Postulate ; and E-Definition.

Explanation:

In a proof, we are tasked with proving one statement using other information that has already been proven.

Theorems are statements that have already been proven, and are used to prove other statements.

A postulate is a statement that is assumed to be true, and is used to prove other statements.

A corollary is a direct consequence of a proven fact, and as such, are used to prove other statements.

A definition is an absolute truth, so it can also be used to prove another statement.

A-theorem   B-corollary   C-Postulate   E-Definition

Step-by-step explanation:

We know that a postulate is a statement that is assumed to be true. So it is used to prove other geometric statements.

Also the theorems are the statement that can be considered to be true by accepted mathematical operations and arguments.

A corollary is a theorem connected by a short proof to an existing theorem.

A definition is a statement of the meaning of a term , which is absolutely used to prove statements.

So , A,B.C,E are the correct options.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.