Journal Entry 10: Angles part 2

When we are given the words," one is twice as larger as the other" we know what the first angle is because we know that the angle is twice as large as the other. If it said "one is five degrees bigger than the other " than it would look like one of the angles are five degrees larger than the other angle. We know when to assign a variable to something when we don't know a number, we then use a variable for the unknown. Since corresponding angles are congruent, they are vertical angles since congruent means same and vertical angles are the same measure.
Congruent means the same, So vertical angles are congruent. Supplementary angles are not congruent since they measure up to 180 degrees. Two angles cannot be both supplementary and corresponding because supplementary angles are not congruent and equal to 180 degrees, and corresponding angles are congruent and are the same. Two angles can be both vertical and corresponding because both vertical and corresponding are alike since they both are congruent. Four angles that are formed by a line and a transversal equal to 360 degrees. This is always the case because since their are four angles formed by a line and a transversal, and if you add the measure up, it would equal to 360 degrees.

Journal Entry 9: Angles Part 1

I know when to set an equation equal to 90 or 180 when you determine if the angle is a right angle or a straight line and/or congruent. When we set angles equal to each other it means that we are putting angles together that are congruent. When we are only solving for x, it is not correctly solve because, if we solve for x it doesn't mean that we solve for the measurement of the angle, so we must plug in what x equals to solve the problem correctly. The word congruent means the same. Vertical angles are congruent because vertical angles have the same measurement. Complementary angles and supplementary angles are not congruent. Other types of angles that are congruent are corresponding angles.

Journal entry 8: Vertical Angles

    Congruent means angles that have the same measures. You now when you have vertical angels 

when you see a pair off opposite congruent angles formed by intersecting angles. Quadrilateral is a four sided polygon. If I only know one angle in my intersecting quadrilateral, I can find all the other angles because, since all the angles are the same measures, and if you already know one angle measure, then the rest is the same measure.

Journal Entry 7: Pythagorean Theorem-part 1

     I believe that you can use the Pythagorean theorem in real life when you want to know how long it takes from one place to the other, for example: if Amy drove four miles south from her house and then drove three miles east and got to her friend's house, she can use the Pythagorean Theorem to figure out how many miles it takes from her friend's house to her house, so we first write down the formula (a^2+b^ 2=c^2) and then plug in our a and b. Our leg measures are 4 and 3. After you plugged in the a and b , you simplify and are left with 16+9=c^2. After you add 16 +9 and you are left with 25=c^2, you then find the square root on both sides and then your final you are left with 5=c.  Therefore, you answer is 5 miles from Amy's friend house to her house.

Jourmal Entry 6:Moving Variables

We can move one variable term to the other side of the equal sign by using the inverse operation. We would add 4j in a problem like 16j= 12 - 4j because the inverse operation of subtraction is addition. The relationship between addition and subtraction is the inverse operation. "What we do on one side, we must do to the other side" relate to a balance scale because a balance scale is when both sides are equal and when you solve an equation, one side must equal to the other.

Journal Entry 5: Laws Of Exponents Part 1

We can expand any variable with an exponent. The exponent of the term, y, is 1. x times x is x^2, its not just because their are two x's, and x times x can not be just x. What I notice when I multiply exponents is that, every time I use exponents in any question or problem, Its just like repeating a number with itself. When using exponents, the number or variable is multiplying itself.