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Published on: 28/08/2019
Congruence of Triangles
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Questions + Answers key
Take MCQ Mathematics Test
1.
ΔPQR is congruent to ΔSTV (in figure), then what is the length of TU?
5 cm
6 cm
7 cm
Cannot be determined
2.
By which of the following criterion, the two triangles cannot be proved congruent?
AAA
SSS
SAS
ASA
3.
Two triangles are congruent, if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the
RHS congruence criterion
ASA congruence criterion
SAS congruence criterion
AAA congruence criterion
4.
Two figures are said to be congruent, if they have exactly the same
area
perimeter
shape and size
length and width
5.
Number of elements of a triangle is
6
5
4
3
6.
If \(\triangle \) PQR ≅ \(\triangle \)BAC, then \(\angle \)R=_____ [\(\angle \)C/\(\angle \)B]
7.
In Δ KMN, the included angle between MN and NK is _____
8.
Two angles are said to be congruent, if they have _____
9.
Two triangles are said to be congruent, if pairs of corresponding side and the corresponding ___ are equal.
10.
If two line segments have the _____ length, then they are congruent.
11.
If hypotenuse and an acute angle of one right angled triangle are equal to the hypotenuse and an acute angle of another right angled triangle, then the triangles are congruent.
12.
If two angles and a included side of a triangle are equal to two angles and a included side of another triangle, then the triangles are congruent.
13.
If two legs of a right angled triangle are equal to two legs of another right angled triangle, then the right angled triangles are congruent.
14.
If three angles of a triangle are equal to the corresponding angles of another triangle, then the triangles are congruent.
15.
If two triangles are equal in area, then they will be congruent
16.
Two right-angled triangles are congruent
17.
Two squares are congruent
18.
Two angles are congruent
19.
If all three sides are equal.
20.
Which rule will be applied if two sides and one angle are equal.
21.
What should be same in two angles to be congruent?
22.
What should be same in two line segments to be congruent?
23.
When can we say that two squares are congruent?
24.
Write pair of sides which are equal if ΔABC≅ΔMYZ.
25.
Write the pair of angles which are equal if ΔABC≌ΔPQR.
1.
(b)
6 cm
2.
(a)
AAA
3.
(b)
ASA congruence criterion
4.
(c)
shape and size
5.
(a)
6
6.
( )
\(\angle \)C
7.
( )
MNK
8.
( )
equal measure.
9.
( )
angle
10.
( )
equal
11.
(a)
12.
(a)
13.
(a)
14.
(b)
15.
(b)
16.
( )
if hypotenuse and a side of one triangle are correspondingly equal to hypotenuse and a side of another triangle
17.
( )
if their sides are equal
18.
( )
if their measures are equal.
19.
( )
SSS rule
20.
( )
SAS rule
21.
( )
Measures
22.
( )
Lengths
23.
( )
When they have equal sides.
24.
( )
AB = XY
BC= YZ
CA = ZX.
25.
( )
\(\angle B = \angle Q\)
\(\angle C = \angle R.\)
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