Topic 4 Quadrilaterals and Coordinate Proof
Description: Topic 4 Quadrilaterals and Coordinate Proof Geometry Vocabulary Choose 3-4 vocabulary words for the day. Throughout the lesson, as students respond to your questions or are presenting a problem on the board, mark a tally when a vocabulary
Related Topics
Download Presentation
"Topic 4 Quadrilaterals and Coordinate Proof" is the property of its rightful owner. Permission is granted to download and print the materials on this website for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Presentation Transcript
slide1. Topic 4
Quadrilaterals and Coordinate Proof Geometry<br>
slide2. Vocabulary<br>
slide3. Choose 3-4 vocabulary words for the day. Throughout the lesson, as students respond to your questions or are presenting a problem on the board, mark a tally when a vocabulary word is used accurately. This can be turned into a competition among groups or between periods. Mathematically Speaking! Examples of accuracy
line vs line segment
translation vs slide
midpoint vs the middle<br>
slide4. Quadrilateral A four-sided polygon.<br>
slide5. Quadrilaterals Flowchart<br>
slide6. Properties of Parallelograms Opposite sides are parallel and congruent.
Opposite angles are congruent.
Consecutive angles are supplementary.
The diagonals bisect each other.<br>
slide7. Rectangle A rectangle is a parallelogram with four right angles.
Diagonals are congruent.
Diagonals bisect each other. All the properties of a parallelogram apply by definition.<br>
slide8. Rhombus A rhombus is a parallelogram with four congruent sides.
Diagonals are perpendicular bisectors of each other
Each diagonal bisects a pair of opposite angles.
The diagonals divide the rhombus into four congruent angles All the properties of a parallelogram apply by definition.<br>
slide9. Square All the properties of a rectangle apply by definition.
All squares are rectangles
All the properties of a rhombus apply by definition.
All squares are rhombuses
The diagonals form four isosceles right triangles.<br>
slide10. Coordinate Geometry Proofs<br>
slide11. Proving a triangle is a Right Triangle<br>
slide12. Proving a Quadrilateral is a Parallelogram Method 4: Show one pair of sides is both parallel and equal.<br>
slide13. Proving a Quadrilateral is a Rectangle<br>
slide14. Proving a Quadrilateral is a Rhombus<br>
slide15. Trapezoid A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Isosceles trapezoid – A trapezoid where the two base angles are equal and therefore the sides opposite the base angles are also equal. The legs are congruent by definition.
The bases are parallel by definition.
The base angles are congruent.
The diagonals are congruent.
Any lower base angle is supplementary to any upper base angle Enrichment<br>
Quadrilaterals and Coordinate Proof Geometry<br>
slide2. Vocabulary<br>
slide3. Choose 3-4 vocabulary words for the day. Throughout the lesson, as students respond to your questions or are presenting a problem on the board, mark a tally when a vocabulary word is used accurately. This can be turned into a competition among groups or between periods. Mathematically Speaking! Examples of accuracy
line vs line segment
translation vs slide
midpoint vs the middle<br>
slide4. Quadrilateral A four-sided polygon.<br>
slide5. Quadrilaterals Flowchart<br>
slide6. Properties of Parallelograms Opposite sides are parallel and congruent.
Opposite angles are congruent.
Consecutive angles are supplementary.
The diagonals bisect each other.<br>
slide7. Rectangle A rectangle is a parallelogram with four right angles.
Diagonals are congruent.
Diagonals bisect each other. All the properties of a parallelogram apply by definition.<br>
slide8. Rhombus A rhombus is a parallelogram with four congruent sides.
Diagonals are perpendicular bisectors of each other
Each diagonal bisects a pair of opposite angles.
The diagonals divide the rhombus into four congruent angles All the properties of a parallelogram apply by definition.<br>
slide9. Square All the properties of a rectangle apply by definition.
All squares are rectangles
All the properties of a rhombus apply by definition.
All squares are rhombuses
The diagonals form four isosceles right triangles.<br>
slide10. Coordinate Geometry Proofs<br>
slide11. Proving a triangle is a Right Triangle<br>
slide12. Proving a Quadrilateral is a Parallelogram Method 4: Show one pair of sides is both parallel and equal.<br>
slide13. Proving a Quadrilateral is a Rectangle<br>
slide14. Proving a Quadrilateral is a Rhombus<br>
slide15. Trapezoid A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Isosceles trapezoid – A trapezoid where the two base angles are equal and therefore the sides opposite the base angles are also equal. The legs are congruent by definition.
The bases are parallel by definition.
The base angles are congruent.
The diagonals are congruent.
Any lower base angle is supplementary to any upper base angle Enrichment<br>