Explore numerous Class 7 Maths MCQ and Ganita Prakash Class 7 Maths Part 2 Chapter 1 Geometric Twins MCQ Online Test with Answers provided with detailed solutions by looking below.
MCQ on Geometric Twins Class 7
Geometric Twins Class MCQ Class 7
Class 7 Geometric Twins Class MCQ
Choose the corrects option from options given-
Question 1.
In ΔABC, ∠A=∠B=80°. Name the pair of sides which are equal.
(a) BC = ∠AC
(b) AC=∠BC
(c) BD =∠AD
(d) AA = BA
Solution:
In ΔABC, we have
∠A=∠B
BC=AC
Answer:
(a) BC = ∠AC
Question 2.
In the following pairs of triangles, by applying SSS condition, state which are congruent. State the result in symbolic form.
(a) ΔABC = ΔCDA
(b) ΔABD = ΔABC
(c) ΔAAA = ΔDDD
(d) ΔABD = ΔABE
Solution:
In triangles ABC and CDA, we have
AB=CD=5 cm
BC=DA=3 cm
and AC = AC=6.7 cm (common)
∴ By SSS condition of congruence, we have
ΔABC ≅ ΔCDA
Answer:
(a) ΔABC = ΔCDA
Question 3.
Which congruence criterion do you use in the following?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Solution:
Given
AC = DF
AB = DE
BC = EF
So, ΔABC ≅ ΔDEF
Answer:
(a) SSS
Question 4.
Which congruence criterion do you use in the following ?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Solution:
Given
∠ZX =∠RP
∠RQ = ∠ZY
∠PRQ = ∠XZY
Answer:
(b) SAS
Question 5.
Which congruence criterion do you use in the following?
(a) SSS
(b) SAS
(c) ASA
(d) RHS
Solution:
Given
EB = DB
AE = BC
∠A=∠C=90°
So,
ΔABE ≅ ΔCDB
Answer:
(d) RHS.
Question 6.
Which of the squares are congruent to square DABC ?
(a) Square PQRS
(b) Square SPQR
(c) Square PSRQ
(d) All of these
Solution:
(d) All of these
Question 7.
Which triangle is congruent to triangle ABC ?
(a) Triangle DEF
(b) Triangle EFD
(c) Triangle FDE
(d) All of these
Solution:
(d) All of these
Question 8.
Which condition of congruency is satisfied, if the two triangles made by the diagonal in the figure below are congruent ?
(a) ASA
(b) SAS
(c) RHS
(d) SSS
Answer:
(d) SSS
Question 9.
Number of element of a triangle is : ………….
(a) 2
(b) 3
(c) 4
(d) 6
Sol.
(d) 6
Question 10.
In ΔPQR, the included side between ∠P and ∠Q is :
(a) \(\overline{\mathrm{QR}}\)
(b) \(\overline{\mathrm{PR}}\)
(c) \(\overline{\mathrm{PQ}}\)
(d) none of these
Answer:
(c) \(\overline{\mathrm{PQ}}\)
Question 11.
In a ΔPQR, ∠Q=44° and ∠P=92°. The pair of equal sides is :
(a) PQ and PR
(b) QR and PQ
(c) QR and PR
(d) None of these
Solution:
(a) PQ and PR
Question 12.
By which congruence condition are the two triangles in the given congruent.
(a) SAS
(b) RHS
(c) SSS
(d) ASA
Answer:
(c) SSS
Geometric Twins Class 7 Assertion and Reason Questions
Instructions:
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
(e) Both A and R are false.
Question 1.
Assertion (A): If two triangles, ΔABC and ΔPQR, have ΔAB = ΔPQ, ΔBC=ΔQR and ΔAC=ΔPR, then the triangles are congruent.
Reason (R): The condition for congruence in this case is Side-Side-Side (SSS) congruence rule.
Solution:
(a) Both A and R are true and R is the correct explanation of A.
The assertion states the SSS congruence criterion, and the reason correctly identifies the rule. Since all three sides of one triangle are equal to the corresponding three sides of the other, they are congruent by the SSS rule.
Question 2.
Assertion (A) : Two triangles, ΔABC and ΔXYZ, are congruent if ∠A=∠X, ∠B=∠Y and ∠C=∠Z
Reason (R) : Two figures are congruent if they have the exact same shape and the exact same size.
Solution:
(d) A is false but R is true.
The assertion is false. Triangles having all three corresponding angles equal means they are similar (same shape), but not necessarily congruent (same size). The sides could be different lengths. The reason, however, is a true definition of congruence in general. Therefore, A is false, but R is true.
Question 3.
Assertion (A): In ΔDEF and ΔGHI, if ΔDE= GH, ∠E=∠H and EF=HI, the triangles are congruent by the SAS rule.
Reason (R): The Side-Angle-Side (SAS) congruence rule requires the equal angle to be the included angle between the two equal sides.
Solution:
(a) Both A and R are true and R is the correct explanation of A.
The assertion is true because the angle ∠E is included between the sides DE and EF. Similarly, is included between GH and HI. The reason correctly explains why the SAS rule applies in this specific scenario.
Question 4.
Assertion (A): The condition SSA (Side-Side-Angle) is a valid criterion for the congruence of two triangles.
Reason (R): The criteria for triangle congruence are SSS, SAS, ASA, and RHS.
Solution:
(d) A is false but R is true.
The assertion is false; SSA is not a universal congruence criterion. The reason is true, as it correctly lists the valid criteria for congruence.
Geometric Twins Class 7 Fill in the blanks
Question 1.
Two triangles are congruent if the three sides of one triangle is respectively ………… to the three sides of the other triangle. (equal/unequal)
Answer:
equal
Question 2.
There are …………matching parts for the congruence of triangles. (4/6)
Answer:
6
Question 3.
The line segments are congruent if their lengths are …………. (different/same)
Answer:
same
Question 4.
In the given figure, AB=AD and ∠BAC= ∠DAC then, ∠ABC= …………. (∠ADC / ∠ACD)
Answer:
∠ADC
Question 5.
Two angles are congruent, if they have the same …………. (measure/length)
Answer:
measure
Question 6.
Two circles are congruent if they have same …………. (radius/arc)
Answer:
Radius
Question 7.
ΔABC ΔDEF, then ∠C= …………. (∠D /∠E)
Answer:
∠F
Question 8.
ΔABC ≅ ΔPQR, then hypoteneuse AC = …………. (QR/PR)
Answer:
PR
Question 9.
∠ABC is isosceles with side ∠AB = ∠AC if ∠A = ∠80°, then the measure of ∠B= …………. (50° / 80°)
Answer:
95°
Question 10.
In ΔABC, the included angle between BC and CA is …………. (∠B/∠C )
Answer:
∠C
Geometric Twins Class 7 True or False
Question 1.
Two congruent figures fit each other exactly, when one is put over the other.
Answer:
True
Question 2.
Two triangles with angles 40°, 60° and 80° are congruent by AAA criterion.
Answer:
False
Question 3.
ΔABC ≅ g ΔDEC, by (SAS). The value of x will be 25°.
Answer:
True
Question 4.
Angle E is included between the sides DE and EF of ΔDEF.
Answer:
True
Question 5.
In ΔABC, AB=AC and D is the mid point of BC then ∠B ∠C.
Answer:
True
Question 6.
In the given figure PQ = PR and ∠PRS=120° then ∠P=50°
Answer:
False
Question 7.
In the given figure ∠Q=∠M=90° and PQ= MN, then we can prove that MN=QR.
Answer:
True
Question 8.
If ∠ABC ≅ ∠DEF then the value of x=100°
Answer:
True