MindMap Gallery Parallelogram - Junior High School Mathematics
Parallelograms - Junior High School Mathematics, which introduces squares, rhombus, parallelogram, Definition of rectangle, nature, Judgment etc.
Edited at 2024-02-11 16:20:29Avatar 3 centers on the Sully family, showcasing the internal rift caused by the sacrifice of their eldest son, and their alliance with other tribes on Pandora against the external conflict of the Ashbringers, who adhere to the philosophy of fire and are allied with humans. It explores the grand themes of family, faith, and survival.
This article discusses the Easter eggs and homages in Zootopia 2 that you may have discovered. The main content includes: character and archetype Easter eggs, cinematic universe crossover Easter eggs, animal ecology and behavior references, symbol and metaphor Easter eggs, social satire and brand allusions, and emotional storylines and sequel foreshadowing.
[Zootopia Character Relationship Chart] The idealistic rabbit police officer Judy and the cynical fox conman Nick form a charmingly contrasting duo, rising from street hustlers to become Zootopia police officers!
Avatar 3 centers on the Sully family, showcasing the internal rift caused by the sacrifice of their eldest son, and their alliance with other tribes on Pandora against the external conflict of the Ashbringers, who adhere to the philosophy of fire and are allied with humans. It explores the grand themes of family, faith, and survival.
This article discusses the Easter eggs and homages in Zootopia 2 that you may have discovered. The main content includes: character and archetype Easter eggs, cinematic universe crossover Easter eggs, animal ecology and behavior references, symbol and metaphor Easter eggs, social satire and brand allusions, and emotional storylines and sequel foreshadowing.
[Zootopia Character Relationship Chart] The idealistic rabbit police officer Judy and the cynical fox conman Nick form a charmingly contrasting duo, rising from street hustlers to become Zootopia police officers!
Parallelogram
Parallelogram
definition
A quadrilateral with two opposite sides that are parallel is called a parallelogram.
nature
Opposite sides of a parallelogram are equal AB=CD,AD=BC
The opposite angles of a parallelogram are equal ∠ABC=∠ADC, ∠BAD=∠BCD
Opposite angles of a parallelogram bisect each other AO=CO,BO=DO
determination
A quadrilateral with two equal sides is a parallelogram.
A quadrilateral with two equal opposite angles is a parallelogram
A quadrilateral whose diagonals bisect each other is a parallelogram
A set of quadrilaterals whose opposite sides are parallel and equal is a parallelogram AD//BC, AD=BC
midline
The line segment connecting the midpoints of both sides of a triangle is called the median of the triangle
Triangle Median Theorem
The median of a triangle is parallel to the third side of the triangle and equal to half of the third side
DE//BC,DE=½BC
rectangle
definition
A parallelogram with one right angle is called a rectangle
nature
Angle: The four corners of a rectangle are all right angles ∠ ABC=∠BCD=∠ADC=∠BAC=90°
Sides: Opposite sides are parallel and equal
Diagonals: The diagonals of a rectangle bisect each other and are equal AO=BO=½AC,BO=CO=½BC,AC=BD∴AO=BO=CO=DO
Properties of a right triangle: The midline of the hypotenuse of a right triangle is equal to half of the hypotenuse
determination
There is a parallelogram with right angles
A parallelogram with equal diagonals is a rectangle
A quadrilateral with three right angles is a rectangle
diamond
definition
A set of parallelograms with equal adjacent sides is called a rhombus
nature
All four sides of a rhombus are equal AB=BC=CD=AD
The two diagonals of a rhombus bisect each other and are perpendicular to AC⊥BD. AO=CO,BO=DO
Each diagonal bisects a set of diagonals. AC bisects ∠BAD and ∠BCD, and BD bisects ∠ABC and ∠ADC.
determination
A set of parallelograms with equal adjacent sides is a rhombus
A parallelogram with perpendicular diagonals is a rhombus
A quadrilateral with four equal sides is a rhombus
square
definition
A parallelogram with a set of equal adjacent sides and one right angle is called a square
There is a set of rectangles with equal adjacent sides
A rhombus with one right angle
nature
The four corners of a square are right angles and the four sides are equal
The diagonals of a square are equal and bisect each other perpendicularly
determination
First determine the rhombus and rectangle conditions (choose one of the two)
a right angle
Diagonals are equal
First determine the rectangular and rhombus conditions (choose one of the two)
A set of opposite sides are equal
diagonal vertical
Direct determination of parallelograms
A set of adjacent sides are equal and an interior angle is a right angle