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Gulfport School District
Gulfport School District

... through finding the identify the angles that are adjacent, vertical, complementary, and  supplementary angles.  TTW also guide students as they find the degree of the  missing angle.   ...
Are the triangles congruent?
Are the triangles congruent?

M1C2-PACKET
M1C2-PACKET

Deductive Geometry
Deductive Geometry

polygons
polygons

Concept # 1: 30-60-90 Right angled triangle: 1. First, see that after
Concept # 1: 30-60-90 Right angled triangle: 1. First, see that after

Practical Geometry
Practical Geometry

Name
Name

... This contradicts the fact that __________________________________________ Therefore ...
Foundation Student Book Chapter 6
Foundation Student Book Chapter 6

Lesson 4: Construct a Perpendicular Bisector
Lesson 4: Construct a Perpendicular Bisector

(5 lines each) and combine only three triangles all in an essential
(5 lines each) and combine only three triangles all in an essential

Foundation Student Book Chapter 6
Foundation Student Book Chapter 6

angle of depression
angle of depression

... 3. A plane is flying at an altitude of 14,500 ft. The angle of depression from the plane to a control tower is 15°. What is the horizontal distance from the plane to the tower? Round to the nearest foot. 54,115 ft 4. A woman is standing 12 ft from a sculpture. The angle of elevation from her eye to ...
Year 5_geometry_student_GBR
Year 5_geometry_student_GBR

Essential Question
Essential Question

... c. Are the triangles similar? Explain your reasoning. d. Repeat parts (a)–(c) for columns 2–6 in the table. e. How are the corresponding side lengths related in each pair of triangles that are similar? Is this true for each pair of triangles that are not similar? f. Make a conjecture about the simil ...
Proving Triangles congruent sss sas asa aas hl v2
Proving Triangles congruent sss sas asa aas hl v2

Distinct distances between points and lines
Distinct distances between points and lines

Constructions
Constructions

Congruent
Congruent

Proving Triangles congruent sss sas asa aas hl v3
Proving Triangles congruent sss sas asa aas hl v3

Document
Document

Triangles Unit Guide Geometry
Triangles Unit Guide Geometry

Non-Parallel Lines and Transversals
Non-Parallel Lines and Transversals

... If two parallel lines are intersected by a transversal: • the alternate interior angles are equal; • the corresponding angles are equal; and • the interior angles on the same side of the transversal are supplementary. If you know that, given two lines cut by a transversal: • alternate interior a ...
Going in Circles - Inscribed Angles
Going in Circles - Inscribed Angles

SHORT COMMUNICATION Differing angles on angle
SHORT COMMUNICATION Differing angles on angle

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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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