Question 11 Mark
All ________ triangles are similar. (isosceles, equilateral)
Answer
View full question & answer→Equilateral
Questions
Fill In The Blanks[1 Marks ]
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Test yourself on this topic
36 questions · timed · auto-graded
Question 21 Mark
Two polygons of the same number of sides are similar, if $(a)$ their corresponding angles are ________ and (b) their corresponding sides are ________. (equal, proportional)
Answer
View full question & answer→Equal, Proportional
Question 31 Mark
All squares are ________. (similar, congruent)
Answer
View full question & answer→Similar
Question 41 Mark
All circles are ________. (congruent, similar)
Answer
View full question & answer→Similar
Question 51 Mark
In $\triangle ABC , P$ and $Q$ are points on $AB$ and $AC$, and $PQ \| BC$. If $AP =5 cm , PB =12 cm$ and $AQ =8 cm$ then $AC =\ldots \ldots \ldots . . cm .(17.2,27.2,27.5)$
Answer
View full question & answer→27.2 cm
Question 61 Mark
Areas of two similar triangles $ABC$ and $DEF$ are $149 cm ^2$ and $81 cm ^2$ respectively. If measure of biggest side of $\triangle ABC$ is $36 cm$ then measure of biggest side of triangle $DEF$ is ……………. $(27 cm , 128 cm , 30 cm )$
Answer
View full question & answer→27 cm
Question 71 Mark
In $\triangle ABC$ bisector of $\angle A$ intersects $\overline{ BC }$ at point $D$. If $AB =6 cm AC =5 cm$ and $BD =3 cm$ then $BC =\ldots \ldots \ldots . cm .(2.5,5.5,3.5)$
Answer
View full question & answer→5.5
Question 81 Mark
$\Delta ABC \sim \Delta DEF$ and $2 AB = DE$. If $BC =8 cm$ then $EF =\ldots \ldots \ldots . cm .(16,8,32)$
Answer
View full question & answer→16
Question 91 Mark
Length of side of square is $4 \sqrt{2}$ unit then length of its diagonal is .......... . $(4,8,6)$
Answer
View full question & answer→8
Question 101 Mark
Length of diagonals of square is $5 \sqrt{2}$ then measure of its side $=\ldots \ldots \ldots . .(5,10,2.5)$
Answer
View full question & answer→5
Question 111 Mark
The length of the median in an equilateral triangle is $\sqrt{3}$ then the measure of its side is ……………. $(3,2,4)$
Answer
View full question & answer→2
Question 121 Mark
$ABC$ is an isosceles triangle right angled at $B . \angle B =90^{\circ}, AB =5$ then $AC =\ldots \ldots \ldots .\left(\sqrt{2} \times 5, \frac{5}{\sqrt{2}}, \sqrt{2} \times \sqrt{5}\right)$
Answer
View full question & answer→$\sqrt{2} \times5$
Question 131 Mark
In $\triangle ABC$ if $AB = BC =\frac{ AC }{\sqrt{2}}$ then $\angle B =\ldots \ldots \ldots .\left(90^{\circ}\right.$, More than $90^{\circ}$, Less than $\left.90^{\circ}\right)$
Answer
View full question & answer→$90^{\circ}$
Question 141 Mark
In $\triangle ABC , D , E$ and $F$ are midpoints of side $AB , BC$ and $CA$ respectively, then $\triangle DEF \sim \ldots \ldots . .$.$(\Delta CAB , \Delta ABC , \Delta BCA )$
Answer
View full question & answer→$\triangle CAB$
Question 151 Mark
In $\triangle XYZ \sim \Delta PQR , XY =12, YZ =8, ZX =16, PR =8$ then $PQ + QR =\ldots \ldots \ldots . .(8,10,12)$
Answer
View full question & answer→10
Question 161 Mark
For $\Delta ABC \sim \Delta QRP , \frac{ AB }{ QR }=\frac{ BC }{ PR }=\ldots \ldots \ldots .\left(\frac{ BC }{ PQ }, \frac{ AC }{ PQ }, \frac{ AC }{ QR }\right)$
Answer
View full question & answer→$\frac{ AC }{ PQ }$
Question 171 Mark
For $\Delta ABC$ and $\Delta DEF , \frac{ AB }{ EF }=\frac{ BC }{ DF }=\frac{ AC }{ DE }$ then prove that $\Delta ABC \sim \ldots \ldots .(\Delta EFD , \Delta DEF , \Delta FDE )$
Answer
View full question & answer→$\triangle EFD$
Question 181 Mark
In $\triangle ABC , AM$ and $CN$ are Altitude. $AB =12, BC =15$ and $AM =9.6$, then $CN =\ldots \ldots \ldots . .(9.6,3.8,12)$
Answer
View full question & answer→12
Question 191 Mark
In $\triangle ABC$ and $\triangle PQR , \angle A =\angle R , \angle B =\angle Q$ then $\triangle ABC \sim \ldots \ldots . .(\triangle RQP , \triangle QPR , \Delta RPQ )$
Answer
View full question & answer→$\triangle RQP$
Question 201 Mark
In $\triangle ABC$ and $\triangle MNO , \angle M =\angle A , \angle O =\angle B$ then $\triangle MNO \sim \ldots \ldots \ldots . .(\triangle ABC , \triangle ACB , \triangle BAC )$
Answer
View full question & answer→$\triangle ACB$
Question 211 Mark
For $\triangle ABC$ and $\triangle PQR , \angle B =48^{\circ}, \angle C =60^{\circ}, \angle Q =48^{\circ}, \angle P =72^{\circ}$. If $AB =8, BC =6$ and $PQ =7.2$ then $QR$ $=\ldots \ldots \ldots . .(6.4,4.4,5.4)$
Answer
View full question & answer→5.4
Question 221 Mark
In $\triangle PQR$ and $\triangle DEF , \angle P =\angle D =55^{\circ}, \angle Q =37^{\circ}, \angle E =88^{\circ}$ then $\triangle PQR \sim \triangle \ldots \ldots \ldots .$. (DEF, DFE, EDF)
Answer
View full question & answer→DEF
Question 231 Mark
If $\triangle DEF \sim \Delta ZXY$ and $\angle D +\angle E =\angle F$ then right angle of $\Delta XYZ$ is ......... . $(\angle X , \angle Y , \angle Z )$
Answer
View full question & answer→$\angle y$
Question 241 Mark
In $\triangle PQR$ and $\triangle XYZ$ for the correspondence $PQR \leftrightarrow YZX$ If $\angle P =2 \angle Q$ and $\angle X =120^{\circ}$ then $\angle Y =\ldots \ldots \ldots$ $\left(80^{\circ}, 40^{\circ}, 60^{\circ}\right)$
Answer
View full question & answer→$40^{\circ}$
Question 251 Mark
In $\triangle ABC$ and $\triangle PQR$ for the correspondence $ABC \leftrightarrow RPQ$ angle corresponds to $\angle B$ is ...... . $\angle P , \angle Q , \angle R )$
Answer
View full question & answer→$\angle P$
Question 261 Mark
In $\triangle ABC$, point $P$ lies on $AB$ and point $Q$ lies on $AC$ such that $PQ \| BC$. If $4 AP = AB$ and $AQ =4$ then $AC =\ldots \ldots \ldots(16,12,8)$
Answer
View full question & answer→16
Question 271 Mark
In $\triangle ABC$ parallel line to $BC$ intersects $AB$ and $AC$ at $D$ and $E$ respectively. If $DB =3.4, EC =2.55, AC =$ 5.10 then $AD =\ldots \ldots ., AB =\ldots \ldots ., AE =\ldots \ldots . .(3.4,6.8,2.55 ; 2.8,6.8,3.4 ; 2.6,4.3,8.6)$
Answer
View full question & answer→3.4,6.8,2.55
Question 281 Mark
In $\triangle ABC$ parallel line to $BC$ intersect $AB$ and $AC$ at $D$ and $E$ respectively. If $AD =7.2, AB =18.4, AE =5.4$ then $DB =\ldots \ldots, EC =\ldots .$. and $AC =\ldots \ldots$.$(13.8,21.2,4.8 ; 11.2,8.4,13.8 ; 2.21,8.4,8.13)$
Answer
View full question & answer→11.2,8.4,13.8
Question 291 Mark
In $\triangle ABC$ parallel line to $BC$ intersects $AB$ and $AC$ at $D$ and $E$ respectively. If $BD =12, AE =6.4, EC =8.0$ then $AD =\ldots \ldots . ., AB =\ldots \ldots ., AC =\ldots \ldots \ldots$.$(9.6,16.4,21.6 ; 9.6,21.6,14.4 ; 6.21,4.14,6.9)$
Answer
View full question & answer→9.6,21.6,14.4
Question 301 Mark
In $\triangle ABC$ parallel line to $BC$ intersects $AB$ and $AC$ at $D$ and $E$ respectively. If $AB =6.2, AC =4.2$ and $EC$ $=3.15$ then $AD =$……………. , $DB =$……………. and $AE =$……………. $(5.64,2.55,1.55 ; 1.55,4.65,1.05 ; 2.55,1.05,5.64)$
Answer
View full question & answer→1.55,4.65,1.05
Question 311 Mark
In $\triangle ABC$ parallel line to $BC$ intersects $AB$ and $AC$ at $D$ and $E$ respectively. If $AD =3.6, DB =2.4, EC =$ 1.8 then $AB =$……………. $AE =$……………. $AC =$……………. $(6.0,2.7,4.5 ; 7.2,5.4,6.0 ; 6.2,7.0,4.0)$
Answer
View full question & answer→6.0,2.7,4.5
Question 321 Mark
All square are……………. (similar, congruent, unequal)
Answer
View full question & answer→similar
Question 331 Mark
All circles are……………. (congruent, similar, unequal)
Answer
View full question & answer→similar
Question 341 Mark
Corresponding sides of two similar polygons are……………. (equal, proportional, not proportional)
Answer
View full question & answer→proportional
Question 351 Mark
Corresponding angles of two congruent polygons are ……………. (equa, unequal, of diffrent proportion)
Answer
View full question & answer→equal
Question 361 Mark
Two isosceles triangles with equal sides are similar according to ……………. criterion. (SAS, SSS, ASA)
Answer
View full question & answer→sss