Please assist me with #14
1 answer:
Answer:
a, c) see below
b) trapezoid
d) 80 square units
Step-by-step explanation:
a, b, c) See the attached plot. The different-length horizontal bases make this a trapezoid.
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d) The area of the original is ...
A = (1/2)(b1 +b2)h = (1/2)(1+4)(2) = 5
Dilation by a factor of 4 multiplies the area by a factor of 4² = 16.
The area of the larger trapezoid is ...
5 × 16 = 80 . . . . square units
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Of course, you can use the area formula, too:
A = (1/2)(b1 +b2)h = (1/2)(4 +16)(8) = 80 . . . . square units
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Solution:
It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS) Similarity theorem.
So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.
So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,
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