The figure shows triangle pqr and line segment ab, which is parallel to qr: triangle pqr has a point
Question:
triangle pqr has a point a on side pq and point b on side pr. the line ab is parallel to the line qr.
part a: is triangle pqr similar to triangle pab? explain using what you know about triangle similarity. (5 points)
part b: which line segment on triangle pab corresponds to line segment qr? explain your answer. (3 points)
part c: which angle on triangle pab corresponds to angle q? explain your answer. (2 points)
(i need on b. i already know a and c)
[tex]The figure shows triangle pqr and line segment ab, which is parallel to qr: triangle pqr has[/tex]
Answers
Part A:
They are similar because QR and AB are parallel, angle R is the same as angle B and Angle P is the same for both.
Part B:
AB corresponds with QR.
Part C: A corresponds with Q.
Is this the correct answer?
Part A) Because the angle at P and the slope of PQ and the slope of AP are identical the triangles are similar.
Part B) QR is the base of triangle PQR, and AB would be the base of triangle PAB
SO it would be line AB.
Part C)Angle A would correspond to angle Q, because they are both on the same line and both are at the base of the triangles.
The answer to your question is below
Step-by-step explanation:
Part A. Yes Δ PQR and ΔPAB are similar because line AB and line QR are parallels, so
∠PAB and ∠PQR measure the same
∠PQR and ∠ABP measure the same
∠QRP and ∠ARP measure the same
so these triangles are similar
Part B. The line segment on triangle PAB that corresponds to line QR is the line AB because lines QR and AB are parallels are are surrounded by angles that measure the same.
Part C. The angle in triangle PAB that corresponds to angle Q is angle A because these angles are corresponding.
Part A: Yes, it is similar. The only difference is the dilation.
Part B: AP
Part C: Angle PAB (also known as angle A)
Show a picture so I could get a better understanding please
i had solved as many i could.
if i will get time i will try to solve more.
if u have any doubt plz ask me.
And an important thing there are figures missing for some questions.
hope this helps u.
