Download Lines, Angles, and Triangles

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.