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Master Parallel and Perpendicular Line Segments | Geometry

CC.HSF.TF.A.1

auto-gen

Converting between degrees and radians

Trigonometric ratios of angles in radians

Radian measure and arc length

CC.HSF.TF.A.2

Unit circle

CC.HSF.TF.A.3

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

Find the exact value of trigonometric ratios

CC.HSF.TF.B.5

Graphing transformations of trigonometric functions

Determining trigonometric functions given their graphs

CC.HSF.TF.B.6

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Find the difference of squares

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

CC.HSF.TF.B.7

Evaluating inverse trigonometric functions

CC.HSF.TF.C.8

Pythagorean identities

CC.HSF.TF.C.9

Sum and difference identities

Sum and Difference Identities

Double-angle identities

Cofunction identities

CC.HSG.C.B.5

CC.HSG.CO.A.1

Line symmetry

Angles in a circle

Chord properties

Circles and circumference

Circle properties

Parallel and perpendicular line segments

Identifying Parallel Lines

Identifying Perpendicular Lines

CC.HSG.SRT.C.6

Use sine ratio to calculate angles and sides (Sin = o / h)

Use tangent ratio to calculate angles and sides (Tan = o / a)

CC.HSG.SRT.C.7

Use cosine ratio to calculate angles and sides (Cos = a / h)

CC.HSG.SRT.C.8

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

CC.HSG.SRT.D.10

Law of sines

Ambiguous case: SSA triangles

Law of cosines

CC.HSG.SRT.D.11

Applications of the sine law and cosine law

CC.HSG.SRT.D.9

Area of triangles: 1/2 a*b sin(C)

CC Standards Trigonometry

math

Ex.1

Ex.2

Ex.3

Intro

In this lesson, we will learn:
<ul type = "disc">
<li>How to measure and draw angles using a protractor</li>
<li>How to identify whether pairs of lines or line segments are parallel or perpendicular</li>
</ul>

 Notes: 
<ul type = "disc">
<li>Protractors are used for measuring and drawing angles:</li>
</ul>

<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math7-6-1-x-1/v1/math7-6-1-x-1-529w.jpg" width="500" alt="Parallel and Perpendicular Line Segments"> </center>

<ul type = "circle">
<ul type = "circle">
<li>The middle of the flat side of the protractor goes on the vertex of the angle</li>
<li>There are two scales on the protractor from 0&deg; to 180&deg; (one going the clockwise way, one going the counter-clockwise way)</li>
<li>Line up one of the zeroes on the protractor with one arm of the angle and start measuring from 0&deg; until you reach the other arm</li>
</ul>
</ul>

<ul type = "disc">
 <li>Two lines or line segments can either intersect (cross) each other or be parallel. In this section, we will be learning how to identify and draw parallel and perpendicular line segments. <a href='[[glossary.html|{"keyword":"Parallel Lines"}]]'>Parallel line</a> segments never meet, no matter how far they are extended. Two line segments are perpendicular if they form a 90 <a href='[[glossary.html|{"keyword":"Degree","term":"Degree"}]]'>degree</a> angle where they cross. Parallel and perpendicular line segments are found everywhere in the world around us. For example, city planners often design roads to be parallel and perpendicular to each other. Along with roads, railroad tracks, lines on notebook paper, and bookcases are parallel.</li>
<ul type = "circle">
<li>When two figures are parallel with each other we can use the symbol: \(\parallel\)</li>
<li>When two figures are perpendicular with each other we can use the symbol: \(\perp\)</li>
</ul></ul>

<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math7-6-1-x-2/v1/math7-6-1-x-2-992w.jpg" width="600" alt="Points, Lines, Line Segments and Ra"> </center>

Parallel and perpendicular line segment basics