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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.