Question

please tell me the correct I have marked them wrong

Answer 1

Answer:

1) rhs

2) asa

3) sss

4) sas

5 aas

Answer 2

Step-by-step explanation:

In the question, we've been asked to match the given abbreviations with its short form or vice versa.

The required answer is as follows:

$\small\begin{gathered}\boxed{\begin{array}{ c |c | c|c| c| c } \sf{}& \underline{\sf \pmb{AAS}}& \underline{ \sf \pmb{SSS}}& \underline{\sf \pmb{SAS}}& \underline{\sf \pmb{ASA}}& \underline{\sf \pmb{RHS}}\\ \sf{Right \: Hypotenuse \: Side}& \sf{\huge{\circ}} & \sf{\huge{\circ}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}& \sf{\large {\pmb{ \purple\odot}}}\\ \sf {Angle \: Side \: Angle}& \sf{\huge{\circ}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}& \sf{\large {\pmb{ \purple\odot}}}& \sf{\huge{\circ}}\\ \sf{Side \: Side \: Side}&\sf{\huge{\circ}}& \sf{\large {\pmb{ \purple\odot}}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}\\ \sf{Side \: Angle \: Side}& \sf{\huge{\circ}} & \sf{\huge{\circ}}& \sf{\large {\pmb{ \purple\odot}}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}\\ \sf{Angle \: Angle \: Side}& \sf{\large {\pmb{ \purple\odot}}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}& \sf{\huge{\circ}}\end{array}}\end{gathered}$

You can match them appropriately by considering the starting/first letter of each words in an abbreviation. They are always given in capital letters. For example, consider "Right Hypotenuse Side". Here, the first letters of the three words are in capital letters. Simply picking and writing them out gives the required answer. That is: "RHS".

Let's know more about these congruency criterion of triangles!

(1) RHS Criterion: Two right-angled triangles are congruent, if the hypotenuse and one side of the triangle are equal.

(2) ASA Criterion: Two triangles are congruent, if two corresponding angles and the included sides of the triangle are equal.

(3) SSS Criterion: Two triangles are congruent, if the corresponding three sides of the triangles are equal.

(4) SAS Criterion: Two triangles are congruent, if two corresponding sides and angles between them are equal.

(5) AAS Criterion: Two triangles are congruent, if the two corresponding angles and non-included side are equal.