Thursday, August 17, 2023

Tools of Geomerty-Points, Lines, and Planes

Today's Objective: describe the undefined terms of geometry

Symbols in Geometry

Points, Lines and Planes
https://www.mathsisfun.com/geometry/

Vocabulary Foundations of Geometry #1 Quizlet
https://quizlet.com/46870609/foundations-of-geometry-1-flash-cards/

Tools of Geometry-Measuring Segments

Today's Objective:Use number operations to find and compare the lengths of segments.


Image result for segment addition postulate

Vocabulary Foundation of Geometry#1 Quizlet
https://quizlet.com/46870609/foundations-of-geometry-1-flash-cards/


Tools of Geomety-Measuring Angles

Today's Objective: Find and compare angle measures; Identify and use special angle pairs to find angle measures.


Image result for special name for angle pairs

Angles
https://www.mathsisfun.com/angles.html

Complementary angles
http://www.mathsisfun.com/geometry/complementary-angles.html

Supplementary angles
http://www.mathsisfun.com/geometry/supplementary-angles.html

Angle Addition Postulate
http://www.icoachmath.com/math_dictionary/angle_addition_postulate.html

Angles Bisector
http://www.icoachmath.com/math_dictionary/angle_bisectors.html

Foundations of Geometry Vocabulary #2
http://quizlet.com/46873094/foundations-of-geometry-2-flash-cards/







Tools of Geometry-Basic Construction

Today's Objective: Use a Compass and a Straightedge to Construct Congruent Segments, Congruent Angles, a Segment Bisector, Perpendicular Lines, the Perpendicular Bisector and a Line Parallel to a given Line through a Point not on the Line.

Constructing a congruent segment
http://www.mathopenref.com/constcopysegment.html

Constructing a bisector of a segment
http://www.mathopenref.com/constbisectline.html

Constructing perpendicular bisector of a segment
http://www.mathopenref.com/constbisectline.html

Constructing a congruent angle
http://www.mathopenref.com/constcopyangle.html

Constructing an angle bisector
http://www.mathopenref.com/constbisectangle.html

A Line Parallel to a Given Line through a Point not on the Line
http://www.mathopenref.com/constparallel.html




Reasoning and Proof

Today's Objective: Analyze the validity of conditional statements
Conditional Statements (15+ Examples in Geometry)


Conditional Statements
https://www.ck12.org/geometry/If-Then-Statements/lesson/If-Then-Statements-GEOM/

Inverse, Converse and Contrapositive
https://www.ck12.org/geometry/converse-inverse-and-contrapositive-statements/lesson/Converse-Inverse-and-Contrapositive-GEOM/

Logic Vocabulary Quizlet
http://quizlet.com/47695704/geometry-logic-flash-cards/






Linear Equations

Today's Objective: Analyze linear equations in a coordinate plane including parallel and perpendicular



Image result for parallel and perpendicular lines


Slopes and Equations of Lines
https://www.mathsisfun.com/algebra/linear-equations.html

https://www.mathsisfun.com/algebra/line-equation-point-slope.html

Parallel and perpendicular lines
https://www.mathsisfun.com/algebra/line-parallel-perpendicular.html

Midpoint of a Segment
https://www.mathsisfun.com/algebra/line-midpoint.html

Distance
https://www.mathsisfun.com/algebra/distance-2-points.html

Vocabulary Lines Quizlet
http://quizlet.com/48466367/geometry-properties-of-lines-in-a-coordinate-plane-flash-cards/





Rigid Transformations in Coordinate Geometry

Today's Objective: Formulate rules and generalizations about Translations of geometric figures represented on a coordinate system and apply to solve problems.

Image result for rigid transformation


Translation
https://www.mathsisfun.com/geometry/translation.html

Reflection
https://www.mathsisfun.com/geometry/reflection.html

Rotation
https://www.mathsisfun.com/geometry/rotation.html

Interactive Rotation in a Coordinate Plane
https://www.desmos.com/calculator/kohoey3j60

Transformations Vocabulary Quizlet
https://quizlet.com/120919499/geometry-transformations-in-a-coordinate-plane-flash-cards/alphabetical