In the diagram MTD ≅ GLS which statement is true

Mathematics

2 answers:

ohaa [14]3 years ago

8 0

Answer:

Option 4

Step-by-step explanation:

Given that triangle MTD is congruent to triangle GLS

Then by congruence property of triangles we have

corresponding sides and angles would be equal in the two triangles.

Hence we have

MT=GL

TD=LS AND

DM=SG

also angles

M=G

T=L

D=S

Hence only option correct is angle M =angle G

emmainna [20.7K]3 years ago

6 0

These two triangles are the same, except they are flipped.
A is incorrect; DT≠LG
B is incorrect; DM≠SL
D is incorrect; ∠M≠∠G
The correct answer is C. ∠T≡∠G, because they fall on the same side angle. Only the top sides are the same.
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What is 14 divided by 5/6?

UkoKoshka [18]

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8 0

3 years ago

PLEASE HELP IT IS VERY URGENT!!

gogolik [260]

Step-by-step explanation:

(c)

$In\: \triangle PLM \: \&\: \triangle PLM\\\angle PLM \cong\triangle PFG.. (corresponding \:\angle s) \\\angle LPM \cong \angle FPG.. (common \: \angle s) \\\therefore \triangle PLM\sim\triangle PFG.. (by\: AA\:Postulate) \\PF = PL + LF = 2 + 3 = 5$

By area of similar triangle theorem:

$\frac {A(\triangle PLM)}{A(\triangle PFG)}= \frac{PL^2}{PF^2}\\\therefore \frac {A(\triangle PLM)}{A(\triangle PFG)}= \frac{2^2}{5^2}\\\therefore \frac {A(\triangle PLM)}{A(\triangle PFG)}= \frac{4}{25}\\A(\triangle PLM)\: :\: A(\triangle PFG) = 4 \: :\: 25$