Angles part-2

When given the words,''one is twice as large as the other'', I know what the first angle is because if the second angle is twice as large as the first, then the first angle is half the second angle's measure.I know when to plug in a variable into an equation when the directions say,''one is five degrees bigger than the other'', because if the first angle measured x degrees and the second measured 45.The equation would be x+5=45.First, I would subtract 5 on both sides, which gives me 40.Therefore, x=40.Corresponding angles are congruent.They are not vertical.The word congruent means the same.For example, vertical angles are congruent, but supplementary angles are not congruent.Two angles cannot be both supplementary and corresponding because supplementary angles are angles that are added to equal 180 degrees, and corresponding angles are angles that equal the same.The four angles that are formed around a line and a transversal equal 360 degrees.This is always the case because a quadrilateral always equals 360 degrees.

Angles part-1

I know when to set an equation that equals 90 degrees because when I have to find the missing angle of a Complementary angle, I know both angles have to equal 90 degrees.For example, one complement is 54 degrees, I have to subtract 54 from 90 to give me 36 degrees.When we set angles that are equal to each other, it is called Congruent.We are incorrectly solving these problems if we only solve for x.For example, 12+x+10+x=90.First we have to combine the like terms,which are x and x.To give us 2x.Then we combine 12 and 10,to give us 22.Then we subtract 22 from 90 to give us 68.Finally, we have to divide 68 by 2,to give us 34 is equal to x.But that's not all we have to do.We also have to plug in the 34 as x in the angles side lengths to find the actual sum of the sides.For example, 12+34=46 and 10+34=44.So 44+46=90.The word Congruent means the same or equal to.Vertical angles are congruent, but complementary angles and supplementary angles are not.Other types of angles that are congruent are corresponding angles.

Pythagorean Theorem:2

Another example of using the Pythagorean Theorem in a real life situation is: Rotceh's kitten, Snowflake, is stuck in a tree.The tree is as tall as Rotceh's house.Her house is 12 feet tall.She measured the distance from her house to the tree, the distance is 5 feet.Rotceh needs to know how tall her ladder must be to reach Snowflake.You know 12 ft. and 5 ft. are the legs,so the missing side is the hypotenuse.

Verticle Angles

Congruent means when 2 things are alike in shape or size.I know when I have vertical angles when I see a pair of congruent angles that are opposite.A quadrilateral is a polygon with four sides.If I had a quadrilateral and I only know one of the measures of one of the angles, I think I could find all of the other angle measures.I can find the other angle measures by first finding the measure of the first angles supplementary side.I can also find the vertical because all vertical angles that are opposite of each other measure the same.

The Pythagorean Theorem

I think that you can use the Pythagorean Theorem in a real life situation.Such as:
Sarah traveled 3 miles West to school.After school she walked 4 miles South to the Library.Sarah's favorite show was going to start in 10 minutes.She wanted to get home quickly,so she decided to take a short cut through the forest.Sarah wants to know how many miles she has to walk through a short cut in the forest.Therefore,the Pythagorean Theorem can be used in a real life situation because Sarah can just use the Pythagorean Theorem formula to find the missing side length,which is the Hypotenuse in her case.