GEOMETRYSeptember 10, 2012

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DATA

Angle RelationshipsAdjacent Angles- two angles that lie in the

same plane that share a common side and no interior points

Complementary AnglesTwo angles whose measures have a sum of

90.

Linear Pair A pair of adjacent angles whose

noncommon sides are opposite rays (they add up to 180)

Supplementary AnglesTwo angles whose measures have a sum of

180

Vertical AnglesTwo nonadjacent angles formed by two

intersecting lines (all vertical angles are ≅)

Two angles are adjacent if they share a common vertex and side, but have no common interior points. SIDE BY SIDE…shoulder to shoulder.

YES

NO12

Picture:

Two adjacent angles are a linear pair if their noncommon sides are opposite rays. They form a straight line… SIDE BY SIDE…shoulder to shoulder.

Picture:1 2

Architecture Link The John Hancock

Center in Chicago, Illinois, contains many types of angles. Describe the highlighted angles.

1 21. Determine whether each statement is true or false.

pair.linear a form 2 and 1

4 52.

pair.linear a form 5 and 4

63

3.

angles.adjacent are 3 and 6

87

4.

angles.adjacent are 8 and 7

C

A T

87

5.

angles.adjacent are 7 and CAT

C

A T

A link to Science Describe the

illustrated angles in the spider web.

Do you like to draw? Does a career that involves drawing

interest you? If so, you may enjoy a career as a drafter. Drafters prepare drawings and plans that are used to build everything from manufactured products like spacecrafts and structures like buildings.

Lines that form right angles are perpendicular

⊥Perpendicular lines intersect to form four right anglesPerpendicular lines intersect to form congruent adjacent angles.Segments and rays can be perpendicular to lines or to other line

segments and rays.The right angle symbol in a figure indicates that the lines are

perpendicular.

Simultaneous Round Robin

Simultaneous Round Robin 2

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