adjective. causing or capable of causing sickness, especially nausea, disgust, or loathing: sickening arrogance.

incongruity. The state of being incongruous, or lacking congruence. An instance or point of disagreement; a dissimilarity; a discrepancy; an inconsistency.

adjective. possessing or characterized by courage; brave: a courageous speech against the dictator.

noun, plural in·con·gru·i·ties for 2. the quality or condition of being incongruous. something incongruous.

Out of place, incompatible, inharmonious, not congruent.

Incongruity Synonyms – WordHippo Thesaurus….What is another word for incongruity?

discrepancy	inappropriateness
absurdity	bizarreness
contradiction	dichotomy
difference	discordance
dissonance	inaptness

Incongruence is “a discrepancy between the actual experience of the organism and the self-picture of the individual insofar as it represents that experience.

If the angles of one shape are equal to another then angles are also congruent in nature. Similarly, if the sides of one shape are equal in length corresponding to another shape then the sides are also congruent in nature.

Two objects are congruent if they have the same dimensions and shape….Real life examples are,

• cigarettes in a packet are congruent to one another.
• Giant wheels or ferris wheels.
• Pages of one books are congruent to one another and etc.

1 : the quality or state of agreeing, coinciding, or being congruent … the happy congruence of nature and reason …— Gertrude Himmelfarb. 2 : a statement that two numbers or geometric figures are congruent.

The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

Congruence is a condition in therapeutic relationship that refers to accurate matching of a person’s experience with awareness. In person-centred counselling, counsellor’s congruence is believed as one of helpful and significant aspects that facilitates clients’ growth in counselling.

In this page you can discover 23 synonyms, antonyms, idiomatic expressions, and related words for congruence, like: conformance, accordance, correspondence, harmony, keeping, harmonization, chime, conformation, conformity, congruity and congruousness.

When triangles are congruent corresponding sides (sides in same position) and corresponding angles (angles in same position) are congruent (equal). There are two theorems and three postulates that are used to identify congruent triangles.

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

AAS Congruence. A variation on ASA is AAS, which is Angle-Angle-Side. Angle-Angle-Side (AAS or SAA) Congruence Theorem: If two angles and a non-included side in one triangle are congruent to two corresponding angles and a non-included side in another triangle, then the triangles are congruent.

Four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.

If the three angles (AAA) are congruent between two triangles, that does NOT mean that the triangles have to be congruent. They are the same shape (and can be called similar), but we don’t know anything about their size.

“AAA” means “Angle, Angle, Angle” “AAA” is when we know all three angles of a triangle, but no sides.

If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar. We can prove this theorem by taking two triangles ABC and DEF.

Definition: Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other. This (AAA) is one of the three ways to test that two triangles are similar . And so, because all three corresponding angles are equal, the triangles are similar.

AAA Similarity

1. Statement: If in two triangles, the corresponding angles are equal, i.e., if the two triangles are equiangular, then the triangles are similar.
2. Given : Triangles ABC and DEF such that ∠A = ∠D; ∠B = ∠E; ∠C = ∠F.
3. Prove that : Δ ABC ~ ΔDEF.

The converse of the Pythagorean Theorem states that if the square of the third side of a triangle is equivalent to the sum of its two shorter sides, then it must be a right triangle. In other words, the converse of the Pythagorean Theorem is the same Pythagorean Theorem but flipped.

The Pythagorean theorem is used to find the length of a missing side of a right triangle, the converse of the Pythagorean Theorem is used to determine if a triangle is a right triangle or not.

Introduction: Pythagorean Theorem The formula is A2 + B2 = C2, this is as simple as one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.

Pythagoras’ theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

hypotenuse

Can we apply the Pythagoras Theorem for any triangle? No, this theorem is applicable only for the right-angled triangle.