When two shapes are mathematically similar, that means that all their sides are in a proportion.
We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.
EH/AD = 6/9 = 2/3
The ratio of EFGH to ABCD is 2:3
Now we have to find BC.
Becuase they're in proportion, we can form this equation:
=
Cross multiply:
24 = 2*BC
Divide both sides by 2:
BC = 12 cm
Good luck!
Answer:
ΔJKL ≅ ΔMNO by SAS
Step-by-step explanation:
The question is incomplete, the question is as following:
ΔMNO is shown.
Which Δ below can be shown to be congruent to ΔMNO with only the given information?
Name the postulate that justifies your answer (SAS, AAS, HL, ASA or SSS).
Write the congruency statement for the triangles.
And see the attached figure which represent ΔMNO
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Check the given options to see which triangle from the option will be congruent to ΔMNO
1. In triangles MNO and ABC, there are two congruent sides and non-included angle - which mean (angle - side - side)
The (angle - side - side) Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent.
2. In triangles MNO and DEF, there are two congruent sides - there is not enough information
3. In triangles MNO and GHI, there are three congruent angles - which mean AAA (angle - angle - angle)
The AAA Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. This postulate is used to prove the similarity between the triangles.
4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS (side - angle - side)
MN ≅ JK , MO ≅ JL , ∠M ≅ ∠J
