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KaseyT
17.07.2019 •
Mathematics
(easy) if δefg ~ δlmn with a ratio of 3: 1, which of the following is true?
segment eg is congruent to segment lm
segment ef is congruent to segment lm
segment eg over segment ln equals segment fg over segment mn
segment ef over segment lm equals segment eg over segment lm
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Ответ:
segment EG over segment LN equals segment FG over segment MN
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
The corresponding sides are
EF and LM
EG and LN
FG and MN
The corresponding angles are
∠E≅∠L
∠F≅∠M
∠G≅∠N
therefore
EF/LM=EG/LN=FG/MN=3/1
Ответ:
C: Segment EG over segment LN equals segment FG over MN.
Step-by-step explanation:
We are given that
with ratio 3:1
We have to find the true statement about two similar triangles in given options
When two triangle are similar
Then ratios of all sides of one triangle to its corresponding all sides of another triangle are equal.
Therefore, Corresponding side of EF is LM
Corresponding side of FG is MN
Corresponding side of EG is LN
Ratio
Hence, segment FG over segment MN equals to segment EG over segment LN.
Therefore, option C is true.
Answer : C: Segment EG over segment LN equals segment FG over MN.
Ответ: