Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Golden ratio wikipedia , lookup
Rotation formalisms in three dimensions wikipedia , lookup
Analytic geometry wikipedia , lookup
Line (geometry) wikipedia , lookup
Perceived visual angle wikipedia , lookup
Multilateration wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Integer triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euler angles wikipedia , lookup
Geometry Name: _______________ SOL Review Chapter 1 Midpoint Formula: Distance Formula: Slope Formula: Use distance formula when you see the word: _________ Complementary Angles add up to ________ Supplementary Angles add up to ________ Bisect means: ________________________ Chapter 2 Rules: Converse: _________________ Inverse: ____________ Contrapositive: ____________ ~ ____________ Example: Write the converse, inverse and contrapositive for the given conditional. Original: Converse: Inverse: Contrapositive: Law of Syllogism: If Jenelle gets a job, then she can afford a car. If Jenelle can afford a car, then she will drive to school. Conclusion? Law of Detachment: If the measure of an angle is greater than 90˚ the angle is obtuse. The m<A is 120˚. Conclusion? Chapter 3 Parallel Lines: Perpendicular Lines: Parallel Slopes: Perpendicular Slopes: Corresponding Angles: Alternate Interior Angles: Alternate Exterior Angles: Consecutive Interior Angles: Example: Solve for x. Which lines are parallel? w x y z Are the equations parallel or perpendicular? 2x y 7 2y x 8 What is the slope of the 2 points? (0, -5) (-3, 7) Plot a point that makes the parallel line. Plot a point that makes the perpendicular line. Chapter 4 Angles in a triangle add up to _______________ Exterior Angle Theorem: Angle Congruence Theorems __________ __________ __________ __________ __________ Chapter 5 3 sides form a triangle if the sum of the 2 small sides is ______________ than the large side. Example: Do 17, 15, 14 form a triangle? Example: List angles from least to greatest. List sides from least to greatest. Constructions: Angle Bisector Perpendicular Bisector Chapter 6 Similar Triangles Similar: same angle measures and all sides have the same _______________ Solve similar triangle problems with a _____________________ Example: Solve for x. Which triangles are similar? Angle Congruence Theorems __________ __________ __________ Chapter 7 Pythagorean Theorem _______________________ Examples: Solve for x. What type of triangle is formed? 5, 7, 10 Special Right Triangles Examples: Solve for x and y. SohCahToa Examples: Solve for x. Chapter 8 Sum of Interior Angles: ________________ Sum of Exterior Angles: ________________ Examples: Find the number of sides. Exterior Angle = 40 Interior Angle = 150 Example: Solve for x. Parallelograms Opposite sides are _________________ Opposite angles are _______________ Diagonals ______________ Consecutive angles are _________________ Shapes that Tessellate: _____________________ ______________________ _____________________ Exterior Angles of a tessellation add to: ____________ Chapter 9 Line Symmetry: Point Symmetry: Reflect across the y-axis Rotate 270 degrees Tessellate the figure (x + 5, y – 2) Dilation: Scale Factor = 3 Chapter 10 Equation of a Circle: _______________________ Example: Plot the center and a point on the circle. ( x 6)2 y 2 16 Degrees in a circle: ____________ Central Angle Inscribed Angle Chapter 11-12 Arc length: _________________________ Sector Area: __________________________ Similar Areas and Volumes Scale Factor Area Ratio Volume Ratio Find the Surface Area of the larger box, B. Find the Volume of the larger box, B. Scale Factor: 1:2 Scale Factor: 1:2 If the Volume ratio of 2 spheres is 216: 343, find the Scale Factor. _______________ If the Area ratio of 2 trapezoids is 64: 81, find the Scale Factor: _______________ Volumes you Add Areas you Subtract