Honors Geometry – List of Key Concepts for your Final Chapter 1 Be

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Honors Geometry – List of Key Concepts for your Final

Chapter 1

 Be able to use the distance formula to calculate the distance between two points. This formula will be on your formula sheet.

 Be able to use a protractor to read the measure of an angle.

 Be able to able the properties of the midpoint of a segment to solve for a missing segment length.

 Be able to use the Segment Addition postulate to find a missing length.

 Be able to use the properties of an angle bisector to find the measure of an angle

Chapter 2

 Given a conditional statement be able to write the converse, inverse, biconditinoal, and contrapositive statement.

Chapter 3

 Be able to identify alternate interior, corresponding, alternate exterior, same side interior, and same side exterior angles.

 Be able to apply the properties of alternate interior, corresponding, alternate exterior, same side interior, and same side exterior angles when the angles are formed by parallel lines.

 Understand how to prove lines parallel using alternate interior, corresponding, alternate exterior, same side interior, and same side exterior angles

 Be able to determine the measure of a triangle and then determine what type of triangle you have (acute, obtuse, or right)

 Be able to calculate the sum of the interior angles of an n-sided polygon

 Know the definition of a regular polygon

 Be able to determine the measure of one interior or exterior angles of a regular n-sided polygon

 Given a point and the slope of a line be able to write the equation for that line I slope-intercept form

 Given the slope of two lines be able to determine if the lines are parallel or perpendicular

Chapter 4

 Be able to determine if a given pair of triangles are congruent by SSS, ASA, SAS, or AAS

 If given two congruent triangles be able to apply the properties of congruent triangles

(corresponding angles are congruent, corresponding sides are congruent) to solve for a missing measurement or variable.

Chapter 5

 Be able to apply the properties of the midsegment of a triangle

 Be able to use the triangle inequality theorem to determine the possible lengths of a triangle

 Given the measures of the angles of a triangle, be able to list the triangle sides in order of longest to shortest or shortest to longest.

 Be able to identify the altitude, median, perpendicular bisector, and angle bisector of a triangle.

Chapter 6

 Be able to determine if a given quadrilateral is a parallelogram

 Know the properties of all quadrilaterals

 Given properties of a quadrilateral be able to determine the most precise name for that quadrilateral

 Be able to define and apply the properties of a median of a trapezoid

Chapter 7

 Be able to calculate the area of a composite shape – a shape formed by two or more other known shapes.

 Be able to find the area and circumference of a circle

 Be able to find the area of a rectangle and a square.

 Be able to use the formula for length of an arc to find the length of an arc or the measure of an arc.

 Be able to apply the Pythagorean Theorem

 Be able to apply the Converse of the Pythagorean Theorem

 Know and be able to apply the properties of special right triangles (30-60-90) & (45-45-90) to find missing sides.

Chapter 8

 Given two similar triangles be able to use the properties of similar triangles (corresponding angles are congruent and corresponding sides are proportional) to find missing measurements or solve for a variable

 Be able to solve a proportion

Chapter 9

 Be able to use trig functions (SOHCAHTOA) to find the missing length of a right triangle

 Be able to use inverse trig functions to find a missing acute angle in a right triangle

 Be able to use trig ratios to find the area of a regular octagon

Chapter 10

 Be able to calculate the surface area and/or volume of a prism, pyramid, cylinder, cone, or sphere. These formulas will be on your formula sheet.

 Given the similarity ratio for two 3-d shapes be able to calculate the surface area ratio and/or volume ratio

Chapter 11

 Be able to apply the theorems in sections 11.1 to prove a line is tangent to a circle or find the length of a segment.

 Be able to apply the theorems in section 11.4 to find the length of a segment

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