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
Technical drawing wikipedia , lookup
Noether's theorem wikipedia , lookup
Multilateration wikipedia , lookup
Rational trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Perceived visual angle wikipedia , lookup
History of trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Chapter 4 Review 4.1 Angle Measure -Know the difference between the notation m∠ABC and ∠ABC. -Know how to use a protractor to find the measure of an angle and to draw an angle with a given measure. -Know how to classify angles by their degree measure. Be able to fill out a table with this info. -Know the difference between equal and congruent when talking about angles. -Know the four tools that are most commonly used in geometry. -Know the difference between draw, sketch and construct. 4.2 Angle Bisectors -Know the three things that are required to have adjacent angles -Know the angle addition postulate and know how to use it. *Make sure to show all your steps when using finding unknown angles.* -Know the definition of an angle bisector and perpendicular. -Know the formula to find the result of an angle bisector. -Be able to sketch any angles using the correct notation. 4.3 Constructions -Know how to construct a congruent line segment, a segment bisector, an angle bisector, and a congruent angle. -Know how to list the steps of each construction. 4.4 Angle Properties -Know the definition and how to sketch the following: Vertical angles, linear pair, supplementary angles and complementary angles. -Know Theorems 4.1-4.7 4.5 Triangles and Quadrilaterals -Know how to classify triangles by their angle measure. -Know how to classify triangles by the length of their sides. -Know the different parts of triangles. -Know how to classify quadrilaterals. -Be able to draw a Venn diagram of the quadrilaterals. -Know the different parts of quadrilaterals: Consecutive sides, consecutive angles, opposite sides, opposite angles. -Be able to draw or sketch any triangle or quadrilateral using the correct notation. Know these terms: Angle Measure Degree Protractor Acute Angle Right angle Obtuse angle Straight Angle Congruent Angles Straight Edge Ruler Compass Draw Sketch Construct Adjacent angles Angle bisector Perpendicular lines Hypotenuse Base angles Base Legs Consecutive sides Consecutive angles Opposite sides Opposite angles. Right triangle Obtuse triangle Acute triangle Scalene triangle Isosceles triangle Quadrilateral Trapezoid Parallelogram Rectangle Square Rhombus Equilateral triangle Postulates 4.1 Protractor Postulate 4.2 Continuity Postulate 4.3 Angle Addition Postulate Theorems Theorem 4.1 All right angles are congruent. Theorem 4.2 If two angles are adjacent and supplementary, then they form a linear pair. Theorem 4.3 Angles that form a linear pair are supplementary. Theorem 4.4 If one angle of a linear pair is a right angle, then the other angle is also a right angle. Theorem 4.5 Vertical Angle Theorem. Vertical angles are congruent. Theorem 4.6 Congruent supplementary angles are right angles. Theorem 4.7 Angle Bisector Theorem. If AB bisects ∠CAD, then m∠CAB = ½ m∠CAD.