Geometry: An Interactive Journey to Mastery

Points X, Y, and Z are midpoints of the line segments on which they lie. Explain why ++XYZ~.ABC What is the VFDOHIDFWRU"ͼ௘6HH ...

Lesson 13: A Return to Parallelism Consider the following general triple of parallel lines theorem. A triple of parallel lines ...

Exploring Special Quadrilaterals Lesson 14 Topics x Properties of parallelograms. x 7KHFODVVL¿FDWLRQRISDUDOOHORJUDPVUHFWD ...

Lesson 14: Exploring Special Quadrilaterals Example 1 Opposite angles in a quadrilateral are congruent. Prove that the quadrilat ...

Example 3 Prove that each diagonal in a rhombus bisects interior angles of the rhombus. That is, in the diagram in Figure 14.2, ...

Lesson 14: Exploring Special Quadrilaterals Given: ABCD is a parallelogram. E is the midpoint of AB. F is the midpoint of DC. P ...

([SODLQLQGHWDLOZK\WKH¿JXUHIRUPHGE\WKHPLGSRLQWVRIWKHVLGHVRIDUKRPEXVLVVXUHWR be a rectangle. Quadrilateral D ...

/HVVRQ7KH&ODVVL¿FDWLRQRI7ULDQJOHV 7KH&ODVVL¿FDWLRQRI7ULDQJOHV Lesson 15 Topics x Classifying triangles via s ...

Example 1 Prove that the interior angle of a triangle of largest measure lies opposite the longest side of the triangle. 'RWKLV ...

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Classify the following triangles as scalene, isosceles, or equilateral and as acute, right, or obtuse. Also describe where the ...

/HVVRQ7KH&ODVVL¿FDWLRQRI7ULDQJOHV Which is the longest side of a right triangle, and why? D௘ͽ ,VLWSRVVLEOHWRFR ...

Prove: AB + BC + CD + DA !ͼ௘AC௘ͽ ͼ௘6HHFigure 15.6௘ͽ Given: mT‘‘!P 786 Prove: UH!HS TS. ͼ௘6HHFigure 15.7௘ͽ A triangle ...

Lesson 16: “Circle-ometry”—On Circular Motion “Circle-ometry”—On Circular Motion Lesson 16 Topic x The sine and cosine of angle ...

Example 1 Find sin 120° and cos 120°. Solution 'UDZDVNHWFKͼ௘6HHFigure 16.2௘ͽ We see half of an equilateral triangle. Thus ...

Lesson 16: “Circle-ometry”—On Circular Motion Study Tip x 7R¿QGWKHVLQHDQGFRVLQHRIDJLYHQDQJOHDOZD\VVNHWFKWKHORFDWL ...

If sin x 0.74, what are the two possible values of cos x? Sketch a graph of yx cos. The sine and cosine of an angle x are both ...

Lesson 17: Trigonometry through Right Triangles Trigonometry through Right Triangles Lesson 17 Topics x The sine, cosine, and t ...

Example 1 $SODQHLVÀ\LQJDWDQDOWLWXGHRIIHHW)URPWKHJURXQG you spy the plane at an angle of elevation of 57°. Wha ...

Lesson 17: Trigonometry through Right Triangles Calculate x and y in each diagram, each to two decimal places. D௘ͽ x y 57° 7 F ...