Honors Geometry Unit 5 Notes: Difference between revisions
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* the segment joining the midpoints of two sides of a triangle is parallel to the third side and half the length | * the segment joining the midpoints of two sides of a triangle is parallel to the third side and half the length | ||
* a line parallel to one side of a triangle divides the other two proportionally, and conversely | * a line parallel to one side of a triangle divides the other two proportionally, and conversely | ||
* the Pythagorean Theorem using triangle similarity. | * the Pythagorean Theorem using triangle similarity | ||
* both necessary and sufficient conditions for parallelograms and other quadrilaterals as well as relationships among kinds of quadrilaterals. | |||
==== Activities ==== | |||
* Find the Centroid | |||
** Balance cutout on the centroid | |||
==== Terms ==== | |||
* Median | |||
* Quadrilateral | |||
* Parallelogram | |||
* Polygon | |||
* Regular Polygon | |||
Latest revision as of 20:07, 4 October 2025
Proofs
- the sum of the measures of the interior angles of a triangle is $180^{\circ}$
- the base angles of isosceles triangles are congruent
- the segment joining the midpoints of two sides of a triangle is parallel to the third side and half the length
- a line parallel to one side of a triangle divides the other two proportionally, and conversely
- the Pythagorean Theorem using triangle similarity
- both necessary and sufficient conditions for parallelograms and other quadrilaterals as well as relationships among kinds of quadrilaterals.
Activities
- Find the Centroid
- Balance cutout on the centroid
Terms
- Median
- Quadrilateral
- Parallelogram
- Polygon
- Regular Polygon