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Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.
- Unit Test
Unit Test - Congruence - Khan Academy
- Working With Triangles
Working With Triangles - Congruence - Khan Academy
- Theorems Concerning Quadrilateral Properties
Theorems Concerning Quadrilateral Properties - Congruence -...
- Transformations and Congruence
Transformations and Congruence - Congruence - Khan Academy
- Triangle Congruence
Triangle Congruence - Congruence - Khan Academy
- Theorems Concerning Triangle Properties
Theorems Concerning Triangle Properties - Congruence - Khan...
- Unit Test
Sep 12, 2020 · Two curves are parallel if at any point you draw a line perpendicular to the tangent line and passes through the point of tangency (the normal line), the normal lines are all parallel, at any point along the curve, and the distance between the line's points of intersections with the two curves are all the same.
How can you tell if two figures are congruent? Flexi Says: Two figures are said to be congruent if they have exactly the same shape and size. Congruent figures can be mapped onto each other under translation, rotation and reflection. For instance, the congruence for some plane figures is.
- SSS
- SAS
- Asa
- Aas
- Hl
- Caution! Don't Use "AAA"
SSSstands for "side, side, side" and means that we have two triangles with all three sides equal. For example: (See Solving SSS Trianglesto find out more)
SASstands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. For example: (See Solving SAS Trianglesto find out more)
ASAstands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. For example: (See Solving ASA Trianglesto find out more)
AASstands for "angle, angle, side" and means that we have two triangles where we know two angles and the non-included side are equal. For example: (See Solving AAS Trianglesto find out more)
This one applies only to right angled-triangles! HL stands for "Hypotenuse, Leg" because the longest side of a right-angled triangle is called the "hypotenuse" and the other two sides are called "legs". It means we have two right-angled triangles with 1. the same length of hypotenuseand 2. thesame length for one of the other two legs. It doesn't ma...
AAAmeans we are given all three angles of a triangle, but no sides. This is not enough information to decide if two triangles are congruent! Because the triangles can have the same angles but be different sizes:
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape....
A parallel of a curve is the envelope of a family of congruent circles centered on the curve. It generalises the concept of parallel (straight) lines. It can also be defined as a curve whose points are at a constant normal distance from a given curve. [1] .
There are a few possible cases: If two triangles satisfy the SSA condition and the length of the side opposite the angle is greater than or equal to the length of the adjacent side (SSA, or long side-short side-angle), then the two triangles are congruent.
