Category Archives: Geometry c 6 A-E Proof and congruence

(6) Proof and congruence. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. The student is expected to:
(A) verify [prove] theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal [,] and prove equidistance between the endpoints of a segment and points on its perpendicular bisector [,] and apply these relationships to solve problems;
(B) prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions;
(C) apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles;
(D) verify [prove] theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems; and
(E) prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems.

Lesson Plans for October 14-16

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GEOMETRY:

Monday Oct.14:  We will grade wkst 2.6.  Students will study for the test Tuesday by completing the Review 2.4-2.6.

Tuesday Oct.15:  TEST 2.4-2.6

Wednesday Oct.16:  Band is out for contest so we will have a personal improvement day. 🙂

HONORS GEOMETRY:

Monday Oct.14:  We will have a lesson on Proofs with Perpendicular Lines, 3.4.  The assignment is page 152 #3-4,11-12,17-20all, and Proof of Last Theorem.

Tuesday Oct.15-Wednesday Oct.16:  We will have a lesson on Slopes of Lines and Directed Line Segments, 3.5.  The assignment is page 159 #1-2,7-16,18-20,22.

Lesson Plans for Oct. 7-11

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GEOMETRY:

Monday Oct.7:  Study for 9 Weeks TEST

Tuesday Oct.8:  9 Weeks TEST and Interactive Student Notebooks due for 3 Daily Grades

Wednesday Oct.9-Thursday Oct.10:  We will have a lesson covering Theorems on Angles, 2.6.  The assignment is wkst 2.6A.

Friday Oct.11:  Students who want Extra Credit will take the Binder TEST and then all students will complete the Review for the 2.4-2.6 TEST on Tuesday.

HONORS GEOMETRY:

Monday Oct.7:  We will have a study day in preparation for the 9 Weeks TEST.

Tuesday Oct.8:  Students will complete a Scavenger Hunt in their Interactive Student Notebooks and Binders for a test grade.

Wednesday Oct.9:  9 Weeks TEST

Thursday Oct.10:  We will have a lesson on Proofs with Parallel Lines, 3.3.  The assignment is wkst 3.3B.

Friday Oct.11:  We will have a lesson on Proofs with Perpendicular Lines, 3.4.  The assignment is page 152 #3-4,11-12,17-20all, prove last theorem.