Geometry 4.1, 4.2, 4.6 Study Guide (+Chapter 1) 1. Be able to define each type of triangle: Equiangular Triangle Right Triangle Obtuse Triangle Acute Triangle Name Date Hour Equilateral Triangle Isosceles Triangle Scalene Triangle 2. Know that the interior angles of a triangle add up to 180. Be able to find the measure of a missing angle. Be able to find the measure of a missing angle by setting up and solving an equation. 3. Know that the Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the two non-adjacent interior angles of the triangle. Be able to find the measure of a missing angle given two of the three angle measures and Be able to find the measure of a missing angle by setting up and solving an equation using the exterior angle theorem. 4. Know that in an Isosceles Triangle two sides are congruent and the two base angles (opposite the congruent sides) are congruent. Be able to solve for a missing angle measure (use the fact that all interior angles add to 180). Be able to solve for a missing side length (use the fact that congruent sides have equal length). Be able to solve for a variable by setting up equations involving congruent side lengths and/or congruent angles. 5. Know that in an Equilateral Triangle has all three sides are congruent and the all angles are congruent (they’re each 60). Be able to solve for a variable by setting up equations involving congruent side lengths and/or congruent angles (60). 6. Be able to write congruence statements for triangles. Be able to identify/write congruence statements for the triangle in three different ways. Be able to identify/write congruence statements for angles. Be able to identify/write congruence statements for each side/segment 7. Given congruent triangles, use congruence statements to identify congruent parts and solve for measures/variables. Chapter 1 Review 1. Use the segment addition postulate to solve for segment lengths. 2. Use the definition of midpoint to set up equations and solve for missing values/measures. 3. Use the vertical angle theorem to set up equations and solve for missing values/measures. Geometry Name 4.1, 4.2, 4.6 Flash Cards Date Hour Use your notes/book to create flashcards on this list to study for the quiz. For the Triangle Types, make two cards for each. One for the definition, one for a drawing. Use your notes/book! Equiangular Triangle Right Triangle Obtuse Triangle Acute Triangle Equilateral Triangle Definition Drawing Isosceles Triangle Scalene Triangle Triangle Angle Sum Theorem The sum of the measures of the interior angles of a triangle is _______. mA + mB + mC = ________ Exterior Angle Theorem 2 3 The measure of an exterior angle of a triangle is equal to the sum of the measures of the two __________________ ___________________ angles. m3 = _____________________ 1 Congruent Figures Naming congruent triangles Two geometric figures are ____________ if they have the same ____________and ____________. Must name them in corresponding order corresponding angles are____________ corresponding sides are ____________ Segment Addition Postulate Vertical Angle Theorem Definition of Midpoint See Chapter 1 Notes & Tool Kit See Chapter 1 Notes & Tool Kit See Chapter 1 Notes & Tool Kit
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