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UNIT 8 MODULE Lines, Angles, and Triangles 19 Lines and Angles MODULE 20 Triangle Congruence Criteria MODULE 21 Applications of Triangle Congruence MODULE 22 Properties of Triangles MODULE 23 © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Ocean/ Corbis Special Segments in Triangles MATH IN CAREERS Architect An architect is responsible for designing spaces where people work and live. In addition to a keen eye for detail and strong artistic skills, architects use mathematics to create spaces that are both functional and aesthetically pleasing. If you’re interested in a career as an architect, you should study these mathematical subjects: • Algebra • Geometry • Trigonometry Research other careers that require the use of spatial analysis to understand realworld scenarios. See the related Career Activity at the end of this unit. Unit 8 929 Reading Start -Up Vocabulary Visualize Vocabulary Use the ✔ words to complete the case diagram. Write the review words in the bubbles and draw a picture to illustrate each case. Angle Relationships Review Words ✔ adjacent angles (ángulos adyacentes) ✔ parallel lines (líneas paralelas) ✔ congruence (congruencia) ✔ vertical angles (ángulos verticales) ✔ complementary angles (ángulos complementarios) ✔ supplementary angles (ángulos suplementarios) ✔ transversal (transversal) Preview Words indirect proof (demostración indirecta) hypotenuse (hipotenusa) legs (catetos) interior angle (ángulo interior) exterior angle (ángulo exterior) isosceles triangle (triángulo isósceles) equilateral triangle (triángulo equilátero) circumscribe (circunscribir) inscribed (apuntado) Understand Vocabulary Complete the sentences using the preview words. A(n) has three sides with the same length. 2. A circle is in a polygon if each side of the polygon is tangent to the circle. 3. The of a right triangle is the longest side of the triangle. Active Reading Key-Term Fold While reading each module, create a key-term fold to help you organize vocabulary words. Write vocabulary terms on one side and definitions on the other side. Place a special emphasis on learning and speaking the English word while discussing the unit. Unit 8 930 © Houghton Mifflin Harcourt Publishing Company 1.