Download Q1. What are the conditions for two triangles to be

Q1.
Q2.
What are the conditions for two triangles to be congruent?
State the correspondence between the vertices, sides and angles of this pair of
congruent triangles:
Q3.
Given below is a pair of triangle. State the property of congruence and name the
congruent triangles.
Q4.
Given below is a pair of triangle. State the property of congruence and name the
congruent triangles.
Q5.
In this figure,
. Is
? Give reasons in support of your
answer.
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Q6.
In the given figure
. Prove that
. Is
?
Q7.
In the given figure,
, show that
is a triangle in which
is the bisector of
. If
is isosceles.
Q8.
In the given pair of triangle, state property of congruence and name the congruent
triangles.
Q9.
If :
, state the correspondence between the vertices, sides and
angles of this pair of congruent triangles.
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Q10.
Find whether these triangles are congruent. State the property of congruence of
this pair.
Q11.
Show that in a isosceles triangle, the angles opposite to the equal sides are equal.
Q12.
Are the given pair of triangles congruent?
Q13.
If :
and
Find
if
.
Q14.
Find if the following triangles are congruent or not:
Q15.
Are the right triangles with the following measurements congruent:
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Q16.
In the given figure,
show that
. Prove that :
and hence
.
Q17.
State the property of congruence for this pair of triangles:
Q18.
If two triangles have their corresponding angles equal, are they always congruent?
Q19.
For the following measurement of triangles, state whether the two triangles are
congruent or not:
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Q20.
State whether these triangles are congruent or not. Give reason.
Answers
A1.
Case
Case
Case
Case
-1:
-2:
-3:
-4:
SSS congruence condition
SAS congruence condition
ASA congruence condition
RHS congruence condition
A2.
;
A3.
SAS;
A4.
ASA;
A5.
Yes, A quadrilateral is a parallelogram if a pair of its opposite sides are equal and
parallel.
A6.
Yes, Hint: ASA congruence condition, CPCT.
A7.
Hint: Prove congruence of triangles
A8.
ASA;
.
A9.
;
A10.
Yes, SSS
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A11.
A12.
A13.
Hint: Draw a perpendicular on base and then prove the two triangles thus formed
to be congruent.
No
A14.
A15.
A16.
Yes
No
Hint: Show that
A17.
A18.
A19.
A20.
RHS congruence condition
No
Not congruent
Not congruent, for the condition SAS the included angle of one triangle is not equal
to the included angle of the other triangle.
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are congruent triangles.
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