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| Describe the distinct characteristics of an equilateral triangle. |
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| Describe the distinct characteristics of an isosceles triangle. |
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| Describe the distinct characteristics of a scalene triangle. |
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| An acute triangle has _ acute angles. |
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| An equiangular triangle has _ congruent angles. |
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| A right triangle has _ right angle. |
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| An obtuse triangle has _ obtuse angle. |
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| angles adjacent to interior angles |
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Theorem 4.1: Triangle Sum Theorem
The sum of the measure of the _______ angles of a ________ is ___.(degrees) |
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Theorem 4.2: Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the ___ of the measures of the two _____________ interior angles |
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| What is a corollary to a theorem? |
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| a statement that can be proved easily using the theorem |
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Corollary to the Triangle Sum Theorem:
The _____ angles of a _____ triangle are ____________. |
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acute
right
complementary |
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| figures exactly the same size and shape |
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Theorem 4.3: Third Angles Theorem
If two _______ of one triangle are congruent to two ______ of another triangle, then the third angles are also _______. |
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| Postulate 19: SSS Congruence Postulate |
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| If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. |
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| Postulate 20: SAS Congruence Postulate |
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Side-Angle-Side
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. |
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| Theorem 4.6: Base Angles Theorem |
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| If there is an isosceles triangle, the two base angles will be congruent. |
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| Theorem 4.7: Converse of the Base Angles Theorem |
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| If two base angles are congruent, then it is an isosceles triangle. |
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| If a triangle is equilateral, then it is equiangular. |
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| If a triangle is equiangular, then it is equilateral. |
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| Postulate 21: ASA Congruence Postulate |
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| If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. |
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| Theorem 4.5: AAS Congruence Theorem |
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| If two angles and the excluded side of one triangle are congruent to two angles and the excluded side of another triangle, then the triangles are congruent. |
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| involves placing geometric figures in a coordinate plane |
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