Congrueny of Triangles
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Question 1 (b)
Complete the following statement:
Among two congruent angles one has a measure of 70∘, the measure of other angle is ___.
O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that ΔOCD is an isosceles triangle.
- True
- False
Consider three angles ABC, PQR and LMN. If
∠ABC≅∠PQR
and
∠PQR≅∠LMN,
then
∠ABC≅∠LMN
False
True
- 2
Consider the figure and choose the correct option.
ΔABC≅ΔDEF
ΔABC≅ΔDFE
ΔABC≅ΔFED
ΔABC ≆ ΔFED
If ΔABC≅ΔPQR, then AB is equal to ___.
QR
PR
PQ
Both PR and QR
- 53∘
- 37∘
- 90∘
- 33∘
Consider three angles ABC, PQR and LMN. If
∠ABC≅∠PQR
and
∠PQR≅∠LMN,
then
∠ABC≅∠LMN
True
False
Among two congruent angles, one has a measure of 60o, the measure of the other angle is
Consider the figure below:
If ΔBOC≅ΔAOD , and ∠ DOA=30o, then what is the measure of ∠BCO (in degrees) ?
- congruent
- similar
- congruent but not similar
- similar but not congruent
If in △ABC, AB=10 cm, ∠CAB = 30∘ and ∠CBA = 60∘ and in △DEF, FE=10 cm, ∠DFE=30∘, ∠DEF=60∘; then, select the correct statement.
ΔBAC ≅ ΔFDE
ΔBCA ≅ ΔEFD
ΔABC ≅ ΔFDE
ΔABC ≅ ΔFED
If ΔABC≅ΔRQP , then ∠P = _____ .
∠A
∠C
∠B
Both ∠A and ∠B
Given that ACBD is a kite. By which congruency property are the triangles ACB and ADB congruent?
SSS property
SAS property
RHS property
ASA property
- XY = AB, YZ = BC and ZX = AC
- Both the triangles can overlap
- Area(ΔABC) = Area(ΔXYZ)
- All of the above.
There is a park with two triangular jogging tracks. Rahul and Arjun went for jogging. The park had a route map which mentioned that the sides of jogging tracks with the same colour have the same length and nothing was mentioned about different coloured sides.
- Red track = Green track
- Black track = Red track
- Blue track = Green track
- Black track = Green track