Journal Maricarmen Hernández.

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Presentation transcript:

Journal Maricarmen Hernández

Triangles Equilateral Isosceles Scalene Right Acute Obtuse

Triangles Equilateral: A triangle with 3 congruent ANGLES. Equilateral: A triangle with 3 congruent sides. Isosceles: A triangle with 2 congruent sides. Scalene: A triangle with no congruent sides. Equilateral: A triangle with 3 congruent ANGLES.

Triangles Acute: A triangle with 3 acute angles. Right: A triangle with one right angle. Obtuse: A triangle with one obtuse angle.

Parts of a triangle Every triangle is made up of three sides connected by vertexes. side vertex Triangle Sum Theorem: The sum of the measurements of each triangle add up to 180º. 60º 50º 60º xº 90º xº X = 60º (60+60+60=180) X=40º (90+50+40=180º)

Exterior and Interior angles (triangle parts cont.) Exterior Angle: The angle formed outside the angle when an extension is drawn to the triangle. Interior Angle: Any angle formed inside the triangle.

Exterior angle theorem We can use this theorem when we need to find an angle and an exterior angle is available. We can use this theorem when a triangle shape is used in a construction. m<4 = m<1 + m<2 Examples: 55º 45º x=85º 65º yº 50º xº y=60º 35º z=55º 90º zº

Congruence in shapes and ctcp A shape is congruent to the other if they have the same shape, size, and measure. CPCT: Corresponding Parts of Congruent Triangles. EXAMPLES: w yz=6 cm. 6 cm. z y x A CD=3 cm. 3 cm. D C B s uv=2.4 ft. 2.4 ft. v u t

SSS These two triangles are congruent to each other. 6 cm. 6 cm. 6 cm. Side-side-side: if the two triangles have three congruent sides, then the triangles themselves are congruent. These two triangles are congruent to each other. 6 cm. 6 cm. 6 cm. 6 cm. 6 cm. 6 cm. 8 cm. 8 cm. 8 cm. 8 cm. 5 cm. 5 cm.

sas Side-angle-side: If two sides and the angle in a triangle are congruent to the other two sides and the angle in another triangle, the both triangles are congruent to each other.

asa Angle-side-angle: if the two angles and the side on each triangle are congruent to each other, then the triangles themselves are congruent.

AAS Angle-angle-side: If the two angles and the side are congruent, then the triangles themselves are congruent.