Triangles.

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Presentation transcript:

Triangles

Today’s Objectives To learn new strategies that will help find the measures of angles in a triangle To review how to classify triangles

Types of Triangles (by sides) Equilateral Isosceles Scalene

Equilateral Triangles Definition: A triangle with three congruent sides. Example:

Isosceles Triangles Definition: Example: A triangle with two congruent sides. Example:

Scalene Triangles Definition: Example: A triangle with no congruent sides. Example:

Types of Triangles (by angle) Equiangular Acute Right Obtuse

Equiangular Triangles Definition: A triangle with three congruent angles. Example:

Acute Triangles Definition: Example: A triangle whose angles are all acute. Example:

Right Triangles Definition: A triangle with one right angle. Example:

Obtuse Triangles Definition: Example: A triangle with one obtuse angle. Example:

Triangle Video Triangle video!!

Triangle Activity Draw and cut out a large triangle. Number all three angles of the triangle Tear of the angles Place the 3 angles adjacent to each other to form one angle Compare your results with a partner. Draw conclusions about the sum of the angles of a triangle.

The sum of the measures of the angles of a triangle is Triangle Angle-Sum The sum of the measures of the angles of a triangle is always 180.

Find the measure of the missing angle < C = 57° http://maths.fallibroome.cheshire.sch.uk/triangle.jpg http://www.mathsisfun.com/geometry/images/triangle-missing-angle.gif < a = 87° x < x = 45° x http://www.gizapyramid.com/basic_triangle_w-angles.gif

Practice Find all value for missing angels: <y +70+90=180 <x+40+90=180 <x+130=180 <x=50

Practice Find all value for missing angels: <x +83+41=180 <x and <y are vertical angels and therefore, have the same measure

Practice Find all value for missing angels: <x + 39 + 65=180 <y + <x = 180 <y +76 = 180 <y = 104 <z + <y + 21 = 180 <z + 104 +21 = 180 <z + 125 = 180 <z = 55

Find the following angle measures. B <FDC The following angles are supplementary = 180° 74 + missing angle = 180° Missing angle = 106 ° <FDC <D + 106 + 57 = 180 <D + 163 = 180 <D = 17 <ADF 74 + 90+ D = 180 164 + D = 180 D = 16 <CDB The following angles are supplementary = 180° 57 + missing angle = 180° Missing angle = 123° <CDB <D + 123 + 45 = 180 <D + 168 = 180 <D = 12 45° 123° C 57° F 106° 74° A D

Homework Triangles