In the figure, ABC is a triangle in which AB = AC. X and Y are points on AB and AC such that AX =AY. Then ΔABY≅ΔACX
True
False
A
False
B
True
Open in App
Solution
Verified by Toppr
Thestatementistrue
Consider△ABYand△ACX
AB=AC(given)
AX=AY(given)
∠A=∠A(common)
∴△ABY≅△ACX{BySAScongruency}
Was this answer helpful?
31
Similar Questions
Q1
In the figure, ABC is a triangle in which AB = AC. X and Y are points on AB and AC such that AX =AY. Then ΔABY≅ΔACX
View Solution
Q2
X and Y are two points on equal sides AB and AC of the triangle ABC such that AX = BY then the three conditions for ∆AXC ≅ ∆AYB are
View Solution
Q3
In the adjoining figure, X and Y are respectively two points on equal sides AB and AC ofΔABCsuch that AX = AY. Prove that CX = BY.
View Solution
Q4
In figure, X and Y are the points on equal sides of AB and AC such that AX=AY. Show that XC=BY.
View Solution
Q5
X and Y are points of linear on the sides AB and AC respectively of a triangle ABC such that AXAB=14, AY = 2 cm and YC = 6 cm. Find whether XY||BC or not