
Step 1: Identify Desired Results
... Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of c ...
... Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of c ...
Multiple Choice Answer Key
... 22. Which of the following is an example of a statistical argument? Key terms probability and 4% A. Jim stated that two angles that are right angles are congruent because all right angles are congruent. B. Kim stated that because line a and line b are perpendicular, they form a right angle by the de ...
... 22. Which of the following is an example of a statistical argument? Key terms probability and 4% A. Jim stated that two angles that are right angles are congruent because all right angles are congruent. B. Kim stated that because line a and line b are perpendicular, they form a right angle by the de ...
Name
... 10. Pull out quadrilaterals A, B, D, E, G, and K. What name best describes ALL of these quadrilaterals? 11. Pull out quadrilateral A. What is the best name for this quadrilateral? _______________________________ ...
... 10. Pull out quadrilaterals A, B, D, E, G, and K. What name best describes ALL of these quadrilaterals? 11. Pull out quadrilateral A. What is the best name for this quadrilateral? _______________________________ ...
4.4 Congruent Triangles
... 4-4 Congruent Triangles Objectives: G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and prove relationships in geometric figures. For the Board: You will be able to prove triangles congruent by using the definition of congruent triangles. J ...
... 4-4 Congruent Triangles Objectives: G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and prove relationships in geometric figures. For the Board: You will be able to prove triangles congruent by using the definition of congruent triangles. J ...
Name: _______________________ Geometry Chapter 4: TRIANGLES
... If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. 5. Angle-Angle-Side (AAS) Theorem – If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding ...
... If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. 5. Angle-Angle-Side (AAS) Theorem – If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding ...
rhombuses, kites and trapezia
... Logical argument, precise definitions and clear proofs are essential if one is to understand mathematics. These analytic skills can be transferred to many areas in commerce, engineering, science and medicine but most of us first meet them in high school mathematics. Apart from some number theory res ...
... Logical argument, precise definitions and clear proofs are essential if one is to understand mathematics. These analytic skills can be transferred to many areas in commerce, engineering, science and medicine but most of us first meet them in high school mathematics. Apart from some number theory res ...
History of geometry

Geometry (from the Ancient Greek: γεωμετρία; geo- ""earth"", -metron ""measurement"") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic).Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century.In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See Areas of mathematics and Algebraic geometry.)