University:
High School
Course:
High School Geometry
Academic year:

2021
Views:

425

Pages:

4
Author:

Andrea Flynn

Study Guide Geometry 2.4 Algebra Reasoning Use the given property to finish the statement Symmetric if a = b, then b = a Division if a = b, then a/w = b/w Addition if a = b, then a + w = b + w Multiplication if a = b, then 5a = 5b Reflexive AB = AB Distribution 4(a - b) = 4a - 4b Transitive if DH ≅ UP and UP ≅ 7, then DH = 7 Substitution if a = b and b = 3, then a = 3 It helps to be as precise as possible when justifying... to make sure it's the "correct" justifying Solve the equation, and justify each step. 7(5x - 2) - 6 = 36x 35x - 14 - 6 = 36x (Distribute 7 to 5x and -2) 35x - 20 = 36x (Combine like terms -14 and -6) -35x -35x (Subtract 35x to both sides) -20 = x (3/4)k + 1 = 3/8 - 2k 2(3/4)k + 2 = 2(3/8) - 2(2k) (Multiply 2 to both sides) (3/2)k + 2 = 3/4 - 4k (Simplify the fractions) +4k +4k (Add 4k to both sides) (11/2)k + 2 = 3/4 -2 -2 (Subtract 2 from both sides) (11/2)k = -5/4 (2/11)(11/2)k = -5/4(2/11) (Divide by 22 to both sides) k = -5/22 2.5 Proving Statements about Segments and Angles Name the property Symmetric AB = CBA Transitive if DH ≅ UP and UP ≅ 7, then DH = 7 Reflexive XY = XY Proofs each statement has it's own reason Know what the end should look like (it will always lead you in the right direction) 5.3 Proving Triangle Congruence by SAS • The ∠ must be between the two sides • both ∠ must be laid out the same! Are the two triangles congruent? (Justify) No (missing ∠ or ≟) Yes, SAS Complete the statement. If QT ≅ ST, then ∠Q ≅ ∠S If ST ≅ TP, then TR ≅ QT If RT ≅ RS, then ∠RTS ≅ ∠RST If ∠STQ ≅ ∠RQT, then QS ≅ ST Find the values of the variables. equilateral (means also equiangular) 50 x = 60 5.4 Equilateral and Isosceles Triangles Isosceles Triangles 2 ≅ legs 2 ≅ angles Equilateral Triangles 3≅sides 3≅angles 5.5 Proving Triangles Congruence by SSS and HL SSS 3 sides ≅ HL need right need hypotenuse need leg Are the following triangles congruent? (Justify - proof) ΔABD ≅ ΔCDB, Yes ΔRTS ≅ ΔPTO, No