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The SAT Math Round 3 Part 2

The SAT Math Round 3 Part 2. Mr. Torres. Bell Ringer. Which of the following represents the equation of the quadratic graph that has a vertex of and a range of ?. The SAT Math Round 3 Part 2 Key Terms. Regular/Equilateral Triangle Right Triangle Triangle Inequality Theorem

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The SAT Math Round 3 Part 2

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  1. The SAT Math Round 3Part 2 Mr. Torres

  2. Bell Ringer • Which of the following represents the equation of the quadratic graph that has a vertex of and a range of ?

  3. The SAT Math Round 3 Part 2 Key Terms • Regular/Equilateral Triangle • Right Triangle • Triangle Inequality Theorem • Similar Triangles • Pythagorean Theorem • Pythagorean Triples • Polygon • Sum of Interior Angles of a Polygon • Quadrilateral • Parallelogram • Area of a Parallelogram • Diagonals of a Parallelogram • Trapezoid • Area of a Trapezoid • Hexagon • Regular Hexagon • Angle • Supplementary Angle • Complementary Angle • Vertical Angle • Transversal • Congruent • Acute Angle • Obtuse Angle • Bisector • Triangle • Sum of Interior Angles of a Triangle • Exterior Angle of a Triangle • Area of a Triangle • Corresponding Angles • Scalene Triangle • Isosceles Triangle

  4. SAT Math Round 3 Part 2 • An angle is created where two lines intersect. • Angles that make up a line (add up to 180 degrees) are called supplementary angles. • Angles that make up a right angle are called complementary angles. • Angles that are across from each other are called vertical angles. • When two parallel lines are intersected by a third line (called a transversal) the corresponding acute angles are congruent and the corresponding obtuse angles are congruent. • Angles that measure less than 90 degrees are called acute angles. • Angles that measure more than 90 degrees are called obtuse angles.

  5. SAT Math Round 3 Part 2 • Parallel lines are notated with the symbol. • Parallel lines have the same slope. • No matter how far you stretch parallel lines, they will never intersect. • When perpendicular lines meet, they form four 90 degree (right) angles. • Perpendicular lines have opposite reciprocal slopes. • A line that divides an angle or another line into two equal pieces bisects it. It is called a bisector or an angle bisector.

  6. SAT Math Round 3 Part 2 • A triangle is a closed figure with three sides. • The sum of the interior angles of a triangle is 180 degrees. • The area of a triangle is . • An exterior angle of a triangle is equal in measure to the sum of the other two angles of a triangle. It is supplementary to the angle to which it is exterior. • In any triangle, the side opposite a larger angle is longer than the side opposite a smaller angle. • In any triangle, sides opposite equal angles are congruent. • Corresponding angles are located in the same place on different parts of the line or on similar triangles.

  7. SAT Math Round 3 Part 2 • A triangle with two equal sides and two corresponding equal angles is called an Isosceles Triangle. • A triangle with no equal sides and no equal angles is called a Scalene Triangle. • A triangle with three equal sides and three corresponding equal angles is called a regular/equilateral triangle. Each angle equals 60 degrees. • A triangle with one right (90 degree) angle is called a Right Triangle.

  8. SAT Math Round 3 Part 2 • Triangle Inequality Theorem:Every side of triangle must be longer than the difference of the lengths of the two other sides and shorter than the sum of the lengths of the two other sides. • Similar Triangles have equal angles and proportional sides.

  9. SAT Math Round 3 Part 2 • A Pythagorean Triple is any combination of 3 lengths of a triangle’s sides that, when taken together, always satisfy the Pythagorean Theorem. • The three most commonly tested Pythagorean Triples (in order) are:3-4-55-12-138-15-17 • Know their multiples as well. • Right Triangles appear most often on the SAT. Always identify Right Triangles within figures on the exam to maximize your efficiency. • The Pythagorean Theorem is expressed as , where A and B are the shorter sides of the Triangle and C is the hypotenuse.

  10. SAT Math Round 3 Part 2 • The diagonals of a parallelogram intersect and bisect each other. • A trapezoid is a quadrilateral with one pair of parallel sides. • The area of a trapezoid is equal to . • Hexagons are polygons with six sides. • Regular hexagons have sides that are all the same length and interior angles that are all equal to 120 degrees. • A polygon is a closed figure formed by three or more line segments. • When you add a side to a figure, you must add 180 degrees to the total angle measure. The sum of the interior angles of any polygon can be found with the formula , where N is the number of sides. • Parallelograms are quadrilaterals with parallel sides and four 90 degree angles. • The area of a parallelogram (including rectangles and squares) is , where B is the base and H is the height.

  11. SAT Math Round 3 Part 2 • The diagonals of a parallelogram intersect and bisect each other. • A trapezoid is a quadrilateral with one pair of parallel sides. • The area of a trapezoid is equal to . • Hexagons are polygons with six sides. • Regular hexagons have sides that are all the same length and interior angles that are all equal to 120 degrees. • Some things worth knowing about Regular Hexagons.

  12. Homework Assignment • Your homework will be posted on my website. Please print it and complete it by the next class period. Show all of your work.

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