Question 1 :
In ∆ABC and ∆PQR, BC = QR and ∠C = ∠R. To establish ∆ABC ≅ ∆PQR by SAS congruence rule, the additional information required is<br/>

Question 2 :
If ∆ABC ≅ ∆PQR and ∠CAB = 65°, then ∠RPQ is<br/>

Question 3 :
The two triangles shown in the given figure are:<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0626150ce6eb5a14824"/>

Question 4 :
In the given figure, ∆ABC = ∆PQR. The values of x and y are:<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0636150ce6eb5a14825"/>

Question 5 :
In the given figure, ∆ABC and ∆DBC are on the same base BC. If AB = DC and AC = DB, then which of the following statement is correct?<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0626150ce6eb5a14823"/>

Question 6 :
In the adjoining figure, {tex} \Delta \mathrm{ABC} {/tex} is an isosceles triangle with {tex} \mathrm{AB} \cong \mathrm{AC} . \mathrm{D} {/tex} is the mid-point of {tex} \mathrm{BC} {/tex} Then{tex} \Delta \mathrm{ADB} \cong \Delta \mathrm{ADC} {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fb7a6302282923f071faf3a"><br>

Question 7 :
In the given figure, ∆PQR ≅ ∆STU. What is the length of TU?<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0626150ce6eb5a14822"/>

Question 8 :
In the given figure, M is the mid-point of both AC and BD. Then<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0616150ce6eb5a14821"/>

Question 9 :
If, for each of the pairs of triangles sketched in the figure given below, like markings indicate congruent parts, name the congruence condition (SAS, SSS, ASA, RHS), if any, which will prove the two triangles of a pair congruent.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fb7a62e36712b7fea88c56a"><br>

Question 12 :
If ∠D = ∠P, ∠E = ∠Q and DE = PQ, then ∆DEF ≅ ∆PQR, by the congruence rule<br/>

Question 13 :
Which one of the following is not a standard criterion of congruency of two triangles?<br/>

Question 14 :
In the given figure, the lengths of the sides of two triangles are given. The correct statement is<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0616150ce6eb5a14820"/>

Question 15 :
The value of the expression x³ + y³ when x = 2 and y = -2 is<br/>

Question 17 :
The algebraic expression for the statement ‘Thrice square of a number x subtracted from five times the sum of y and 2’ is<br/>

Question 18 :
The number of sides in a pattern having 3 hexagons arranged in a row as shown in the given figure is<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b055778cae265616982a"/><br/>

Question 19 :
The number of (unlike) terms in the expression 3xy² + 2y²z – y²x + y(xz + yz) – 5<br/>

Question 20 :
The value of the expression {tex}\frac { 5 }{ 3 }{/tex} x² + 1 when x = -2 is<br/>

Question 24 :
The degree of the polynomial 3x³y – 5xy⁴ – 2x + 1 is<br/>

Question 25 :
The like terms is the expressions 3x(3 – 2y) and 2(xy + x²) are<br/>