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CBSE TEST PAPER-01 MATHEMATICS (Class-10) Chapter : Triangles 1 Mark Questions In fig, if ∠ A= ∠ CDE, AB=9cm, AD=7cm, CD=8cm, CE=10cm. Find DE if ∆ CAB ∼∆CED.
Q1.
C 8
10
D
E
D 7 A
B 9
Q2.
Find ‘y’ if ∆ABC ∼ ∆ PQR P A
9
Y
12 10 Q B
R
C 7
Q3.
∆ADE ˜ ∆ABC.
∆ ABC , if DE=4cm, BC=8cm and ar( ∆ADE)=25sq cm. Find the area of
Q4.
If D and E are respectively the points on the sides AB and AC of a ∆ABC such that AD=6cm, BD=9cm, AE=8cm, EC=12cm, Then show that DE||BC.
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Q5.
Q A
80 40 40
80 60
B
60 P
C
R
Write symbolic representation for above similarity.
2/3 Mark Questions In fig, considering ∆ BEP and ∆ CPD. Prove that BP
Q6.
X P D= EP X PC
A
E
D P
B
C
Q7. In fig, E is a point on side CB produced of an isosceles triangle ABC with AB=AC.
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If AD ⊥ BC and EF ⊥ AC, Prove that ∆ ABD ˜ ∆ ECF.
Q8.
In ∆PQR, M is a point on QR such that PM ⊥ QR and PM2 =QM.MR. Show that PQR is a right triangle.
Q9.
In Fig, ACB=900 and CD ⊥ AB. Prove that
Q10.
Two poles of height ‘a’ meters and ‘b’ meters (a
