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Tackling Triangles

Tackling Triangles. By Mariah Holbrooks. Triangles. There are many different types of triangles that can be found everywhere. Our daily life includes some, if not, all of the types of triangles. Right

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Tackling Triangles

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  1. Tackling Triangles By Mariah Holbrooks

  2. Triangles There are many different types of triangles that can be found everywhere. Our daily life includes some, if not, all of the types of triangles. Right Scalene Equilateral Obtuse Isosceles

  3. Right Triangle Has one 90 degree angle

  4. Equilateral Triangle All angles are the same (60 degrees)

  5. Isosceles Triangle Has two angles the same and two sides the same

  6. Scalene Triangle Has all three angles and all three sides different

  7. Obtuse Triangle Has one obtuse angle, greater than 90 degrees

  8. Congruent Triangles • Side-Angle-Side (SAS) Congruence Postulate If two sides (CA and CB) and the included angle ( BCA ) of a triangle are congruent to the corresponding two sides (C'A' and C'B') and the included angle (B'C'A') in another triangle, then the two triangles are congruent.

  9. Side-Side-Side (SSS) Congruence Postulate If the three sides (AB, BC and CA) of a triangle are congruent to the corresponding three sides (A'B', B'C' and C'A') in another triangle, then the two triangles are congruent.

  10. Angle-Side-Angle (ASA) Congruence Postulate If two angles (ACB, ABC) and the included side (BC) of a triangle are congruent to the corresponding two angles (A'C'B', A'B'C') and included side (B'C') in another triangle, then the two triangles are congruent.

  11. Angle-Angle-Side (AAS) Congruence Theorem If two angles (BAC, ACB) and a side opposite one of these two angles (AB) of a triangle are congruent to the corresponding two angles (B'A'C', A'C'B') and side (A'B') in another triangle, then the two triangles are congruent.

  12. Right Triangle Congruence Theorem If the hypotenuse (BC) and a leg (BA) of a right triangle are congruent to the corresponding hypotenuse (B'C') and leg (B'A') in another right triangle, then the two triangles are congruent.

  13. Find the Isosceles triangle

  14. That is correct!

  15. Which triangle is ASA (Angle Side Angle)?

  16. Sorry, that is incorrect

  17. Georgia Standard • MM1G3. Students will discover, prove, and apply properties of triangles, • quadrilaterals, and other polygons. • a. Determine the sum of interior and exterior angles in a polygon. • b. Understand and use the triangle inequality, the side-angle inequality, and the • exterior-angle inequality. • c. Understand and use congruence postulates and theorems for triangles (SSS, • SAS, ASA, AAS, HL). • d. Understand, use, and prove properties of and relationships among special • quadrilaterals: parallelogram, rectangle, rhombus, square, trapezoid, and kite. • e. Find and use points of concurrency in triangles: incenter, orthocenter, • circumcenter, and centroid.

  18. Resources Triangle images came from: Clip Art Types of triangles http://home.blarg.net/~math/triangles.html

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