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prohojiy [21]
3 years ago
12

Can someone please explain to me the difference between SAS and SSS in Geometry when dealing with triangle proofs?

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:   SAS = side - angle -side    congruence

              SSS  = side - side - side     congruence


Discussion :

In Plane Geometry,  identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.

In one approach ("SSS") if you can show that 2 triangles have identical side lengths,  then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)

In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle,  then the triangles are congruent

It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook

Regards, MrB

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Suppose that in a normal half hour of practice, a tennis player expends 280 calories of energy.
sertanlavr [38]

Answer:

308 Calories

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3 years ago
A segment XD is drawn in rectangle QUAD as shown
grin007 [14]

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

<em>A segment XD is drawn in rectangle QUAD as shown  below. </em>

<em>What are the measures of ∠XDQ and ∠UXD ? </em>

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

= 90°  - 49°  = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> <em>∠UXD = </em>180° - ∠DXA  (Because UA is a straight line)

=180° - 41°  

= 139 °  

5 0
3 years ago
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