60 likes | 296 Views
∞Chapter 4 Review∞ Congruent Triangles. Trisha Jiang Chantal Alano Sonali Dukle Kim-Van Phan Zaynah Ali. Theorem § & Postulate §. Angle Sum Theorem Exterior Angle Theorem 3 rd Angle Theorem CPCTC §§§ Postulate §A§ Postulate A§A Postulate AA§ Theorem Hypotenuse- Leg Postulate
E N D
∞Chapter 4 Review∞Congruent Triangles Trisha Jiang Chantal Alano Sonali Dukle Kim-Van Phan Zaynah Ali
Theorem§ & Postulate§ • Angle Sum Theorem • Exterior Angle Theorem • 3rd Angle Theorem • CPCTC • §§§ Postulate • §A§ Postulate • A§A Postulate • AA§Theorem • Hypotenuse- Leg Postulate • Isosceles Δ Theorem & Converse. • Corresponding Parts of ≅Δ’s are ≅ • Δhas 2 ≅sides iff it’s opposite angle‘s are ≅ • 2 right Δ’s are ≅if hypotenuse and corresponding leg is≅ • 2 Δ’s are ≅if 2 angle‘s and non-included side are ≅ • 2 Δ’s are ≅if all 3 sides ≅ • Interior angle‘s of a Δ= 180 • 2 Δ’s are ≅ if 2 sides & the included angles are ≅ • 2 angle‘s of 2 Δs are ≅, then the 3rd angle‘s are ≅ • Exterior angle‘s of a Δ=sum of remote interior angles. • 2 Δ’s are ≅ if 2 angle‘s and included side are ≅
*Now For Some Math History! • How he is related to our chapter • Education • Family I.M Pei
Coordinate Proofs • A coordinate proof is a style of proof that uses a coordinate plane. • Uses both geometry and algebra to solve the problem. • It can also be used to prove something is true without knowing details. • First you graph the figure. • Then you can use the slope formula, distance formula, or the midpoint formula to prove statements about the figure.
*More Math History! • Inspiration • Other building designs I.M Pei
Thank You! Thank You For Watching! Now Time For a Game!