Q: Geometry is founded upon the basis of five postulates put together by the ancient mathematician, Euclid. Knowing and understanding these five statements will help you understand many of the concepts in geometry.  1: A straight line segment can be drawn joining any two points. 2: Any straight line segment can be continued in either direction indefinitely in a straight line. 3. A circle can be drawn around any line segment with one end of the line segment serving as the center point and the length of the line segment serving as the radius of the circle. 4. All right angles are congruent (equal). 5. Given a single line and a single point, only one line can be drawn directly through the point that will be parallel to the first line. When you first start learning geometry, the various symbols can seem overwhelming. Learning what each of them means and being able to immediately recognize them will make things easier. Here are some of the most common geometry symbols you will come across:  A small triangle refers to the properties of a triangle. A small angle shape refers to the properties of an angle. Letters with a line over them refer to the properties of a line segment. Letters with a line over them with arrows at each end refer to the properties of a line. One horizontal line with a vertical line in the middle means that two lines are perpendicular to each other. Two vertical lines mean two lines are parallel to each other. An equal sign with a squiggly line on top means that two shapes are congruent. A squiggly line means that two shapes are similar. Three dots forming a triangle means “therefore”. A line is straight and extends infinitely in both directions. Lines are drawn with an arrow at the end to indicate that they continue on. A line segment has a beginning and an end point. Another form of a line is called a ray: it only extends infinitely in one direction. Lines can be parallel, perpendicular, or intersecting.  When two lines are parallel they never intersect with each other. Perpendicular lines are two lines that form a 90° angle. Intersecting lines are two lines that cross each other. Intersecting lines can be perpendicular, but can never be parallel. There are three different types of angles: obtuse, acute, and right. An obtuse angle is one that measures greater than 90°, an acute angle is one that measures less than 90°, and a right angle is one that measures exactly 90°. Being able to identify angles is an important part of geometry. A 90° angle is also a perpendicular angle: the lines make a perfect corner. The Pythagorean Theorem states that a2 + b2 = c2. It is the formula that allows you to calculate the length of the side of a right triangle if you know the lengths of the other two sides. A right triangle is a triangle with one 90° angle. In the theorem, a and b are the opposite and adjacent (straight) sides of the triangle, while c is the hypotenuse (angled line) of the triangle.  For example: Find the length of the hypotenuse of a right triangle with side a = 2 and b =3. a2 + b2 = c2  22 + 32 = c2  4 + 9 = c2  13 = c2  c = √13 c = 3.6 There are three different types of triangles: scalene, isosceles, and equilateral. A scalene triangle has no congruent (identical) sides and no congruent angles. An isosceles triangle has, at least, two congruent sides and two congruent angles. An equilateral triangle has three identical sides and three identical angles. Knowing these types of triangles helps you identify properties and postulates associated with them.  Remember, that an equilateral triangle is technically also an isosceles triangle, because it does have two congruent sides. All equilateral triangles are isosceles, but not all isosceles triangles are equilateral. Triangles can also be classified by their angles: acute, right, and obtuse. Acute triangles have angles that are all less than 90°; right triangles have one 90° angle; obtuse triangles have one angle that is greater than 90°. Similar shapes are those that have identical corresponding angles and corresponding sides that are proportionally smaller or larger than each other. In other words, the polygon will have the same angles, but different side lengths. Congruent shapes are identical; they are the same shape and size. Corresponding angles are identical angles in two shapes. In a right triangle, the 90-degree angles in both triangles are corresponding. The shapes do not have to be the same size for their angles to be corresponding. Complementary angles are those angles which add together to make 90 degrees and supplementary angles add to 180 degrees. Remember that vertical angles are always congruent; similarly, alternate interior and alternate exterior angles are also always congruent. Right angles are 90 degrees, while straight angles are 180.  Vertical angles are the two angles formed by two intersecting lines that are directly opposite each other.  Alternate interior angles are formed when two lines intersect a third line. They are on opposite sides of the line they both intersect, but on the inside of each individual line.  Alternate exterior angles are also formed when two lines intersect a third line; they are on opposite sides of the line they both intersect, but on the outside of each individual line. SOHCAHTOA is a mnemonic device used to remember the formulas for sine, cosine, and tangent in a right triangle. When you want to find the sine, cosine, or tangent of an angle, you use the following formulas: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, and Tangent = Opposite/Adjacent.  For example: Find the sine, cosine, and tangent of the 39° angle of a right triangle with side AB = 3, BC = 5 and AC = 4. sin(39°) = opposite/hypotenuse = 3/5 = 0.6 cos(39°) = adjacent/hypotenuse = 4/5 = 0.8 tan(39°) = opposite/adjacent = 3/4 = 0.75
A: Know Euclid’s five postulates of geometry. Recognize the symbols used in geometry problems. Understand the properties of lines. Know the different types of angles. Understand the Pythagorean Theorem. Be able to identify the types of triangles. Know the difference between similar and congruent shapes. Learn about complementary and supplementary angles. Remember SOHCAHTOA.

Q: You can wash your hair and then blow dry it completely or let it air dry and then style after a few hours. Pour a dime-sized amount of mousse into your palm and rub it between your hands for about 5 seconds. Run it through your hair and then use a brush to distribute the product more evenly.  Mousse will give your hair texture and will help set the curls with the curling iron.  Some mousse products contain heat protectants that will prevent the curling iron from damaging your hair. If your mousse doesn't have this, spray a separate heat protectant product on your hair.
A:
Start with dry hair.