Given the similar figures name all the pairs of corresponding angles and sides
1 answer:
Answer:
see below
Step-by-step explanation:
Corresponding letters (vertices) are in the same order in the similarity statement. That is, if L is the first letter in ∆LMN, then it corresponds to the first letter (R) in ∆RST. That is the meaning of ∆LMN ~ ∆RST.
3. Everywhere you see L, replace it with R.
Everywhere you see M, replace it with S.
Everywhere you see N, replace it with T.
This goes for both segments and angles.
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4. Everywhere you see A, replace it with H.
Everywhere you see B, replace it with G.
Everywhere you see C, replace it with F.
Everywhere you see D, replace it with E.
This goes for both segments and angles.
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Answer:
Option D is correct.
Length of PQ is 36 unit.
Explanation:
If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.
Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.
Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.
To find the length of QR:
It is given that ΔABC and ΔPQR are Similar triangle
then, by the definition of similar triangle:
Substitute the value of AB, QR and BC to solve for PQ;
or
On simplify:
Therefore, the length of side PQ is 36 units.
