Question

Lines l and m are the lines of symmetry of the line segments XY and YZ respectively. If XA = 6 cm and YZ = 8cm. Find AY, YB, XZ

Answer 1

Answer:

XZ = 14 cm , AY = 4cm , YB = 3cm

Step-by-step explanation:

Given l,m are the lines of symmetryof line segment XY and YZ

⟹AY=XA,YB=BZ

SO AY=XA=4 cm,YB=BZ

YZ=6 cm

⟹YB=BZ=3 cm

XZ=XA+AY+YB+BZ=2(XA)+YZ=2×4+6=14 cm

Answer 2

AY = 6cm, YB = 4cm, XZ  = 20cm.

Given,

l and m are the lines of symmetry of the line segments XY and YZ.

XA = 6cm.

YZ = 8cm

To Find,

The value of AY, Yb, XZ.

Solution,

Here, given that two lines l and m are symmetry of line segments XY and XZ.

Therefore, we can say that,

XA is equal to AY.

So, the value of AY is 6cm.

And, BZ= YB.

Given that the value of YZ is 8cm.

YB and BZ are the same, so the value will be equal.

YB = 4cm.

BZ = 4cm.

To find the value of XZ, need to add the value of XA, AY, YB, and BZ.

XZ = 6 + 6+ 4 + 4

XZ= 20cm.

Hence, the values of AY are 6cm, YB is 4cm, and XZ is 20cm.

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