In triangle abc and pqr, angle b = Angle q, angle r = angle c and ab = 2qr. Then the triangle is
A. Similar but not congruent
B. Neither congruent nor similar
Please note that corresponding parts are not mentioned. {ab=2qr. ab and qr are not corresponding parts of the triangle.}
Answers
Given : In triangle abc and pqr, angle b = Angle q, angle r = angle c and ab = 2qr.
To Find : triangle is
A. Similar but not congruent
B. Neither congruent nor similar
Solution:
Triangle ABC and Triangle PQR
∠B = ∠Q
∠C = ∠R
∠A = ∠P ( because if two angles are equal then third angle is also equal )
=> ΔABC ≈ ΔPQR ( AAA similarity criteria)
=> AB/PQ = BC/QR = AC / PR = k
k = 1 then triangles are congruent
ab = 2qr does not give any information
triangle can be congruent or not
can not be decided
AB = 6
BC = 3
AC = 7
PQ = 6
QR = 3
PR = 7
ΔABC ≅ ΔPQR
Congruent triangle also AB = 2 QR
case 2
AB = 12
BC = 12
AC = 14
PQ = 6
QR = 6
PR = 7
AB = 2 QR
ΔABC is not congruent to ΔPQR
ΔABC ≈ ΔPQR is confirmed but nothing can be concluded about congruent
so from given options:
Similar but not congruent - best option.
Learn More:
Yriangle ABC is congruent to Triangle PQR Ab=9cm BC=4.5cm AC ...
https://brainly.in/question/17260978
A rectangle is surrounded by two sets of congruent trapeziums as ...
https://brainly.in/question/13621924
prove thatOC OD6. If the areas of two similar triangles are equal ...
https://brainly.in/question/9871168
Answer:
fdhjgdgjghjbbb
chhfghxdb
bghkggy
ghhfynbh
ghhhjh