University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

425

Pages:

3
Author:

kuelezea4o

Chapter 5 Study Guide 5.1 Angles of Triangles Classify by (2 names): Angles: Acute Obtuse Right Equiangular Sides: Scalene Isosceles Equilateral Find the value of the variable(s): Exterior Angle 3x + 25 = (2x) + (65) x = 40 Every Δ = 180 90 + (2x) + (x-6) = 180 3x + 84 = 180 3x = 96 x = 32 75 = 43 + y y = 32 Supplementary angles: 75 + x = 180 x = 105 5.2 Congruent Polygons Congruent Polygons have corresponding congruent parts: Angles Sides Everything must match if polygons are congruent Complete the statement with the corresponding congruent part: ∠K ≅ ∠T XY ≅ US Are the two figures congruent? (Justify) No, wrong look at the angles. Given: ΔDEF ≅ ΔMNP, Find x and y. Using the ≅ statement: ∠D ≅ ∠M x = 10 ∠F ≅ ∠P 84 = 3x + 2y 84 = 30 + 2y 54 = 2y 27 = y 5.3 Proving Triangle Congruence by SAS Are the two triangles congruent? (Justify) No, missing a side. Yes, SAS Fill in the missing spaces: Given: SP ≅ QP Prove: ΔSPR ≅ ΔQPR | Reason | Statements | |---|---| | a) Given | a) SP ≅ QP | | b) PR ≅ PR | b) reflexive bisector | | c) ∠SPR ≅ ∠QPR | c) def of angle bisector | | d) ΔSPR ≅ ΔQPR | d) by SAS 5.4 Equilateral and Isosceles Triangles Complete the statement: If QT ≅ ST, then ∠Q ≅ ∠S If ∠TQP ≅ ∠TPQ, then QT ≅ TP Find the values of the variables: 90 = 60 + x, x = 30, equilateral 90 = 30 + y, y = 60, equilateral 5.5 Proving Triangles Congruence by SSS and HL Are the following triangles congruent? (Justify-proof) ΔABD ≅ ΔCBD - Yes, SSS ΔRTS ≅ ΔPTQ - No What additional information do you need to prove the triangles congruent by HL? Need AD ≅ CD Need EF ≅ FH and right triangles