-
question_answer1)
Two parallelograms are on the same base and between the same parallels. What is the ratio of their areas?
A)
2:1 done
clear
B)
1:2 done
clear
C)
1 :1 done
clear
D)
3:1 done
clear
View Solution play_arrow
-
question_answer2)
ABCD is a parallelogram and 'O' is the point of intersection of its diagonals \[\overline{AC}\] and\[\overline{BD}.\]If the area of\[\Delta AOD=8\,c{{m}^{2}},\] what is the area of the \[\Delta BOC?\]
A)
\[2\,c{{m}^{2}}\] done
clear
B)
\[4\,c{{m}^{2}}\] done
clear
C)
\[8\,c{{m}^{2}}\] done
clear
D)
\[32\,c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer3)
The area of a trapezium is \[24\text{ }c{{m}^{2}}.\]The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side?
A)
5 cm done
clear
B)
8 cm done
clear
C)
12 cm done
clear
D)
7 cm done
clear
View Solution play_arrow
-
question_answer4)
The area of a square is\[36\text{ }c{{m}^{2}}.\] If the side of the square is doubled, what is the ratio of area of the original square to that of the new square formed?
A)
4 :1 done
clear
B)
4 : 3 done
clear
C)
1:4 done
clear
D)
1:2 done
clear
View Solution play_arrow
-
question_answer5)
The area of a rhombus is\[60\text{ }c{{m}^{2}}.\]If one of its diagonals is 15 cm, find the other diagonal.
A)
4 cm done
clear
B)
8 cm done
clear
C)
10 cm done
clear
D)
16 cm done
clear
View Solution play_arrow
-
question_answer6)
The area of a triangle is\[16\text{ }c{{m}^{2}}.\] If its base is 8 cm, what is its corresponding altitude?
A)
4 cm done
clear
B)
8 cm done
clear
C)
18 cm done
clear
D)
12 cm done
clear
View Solution play_arrow
-
question_answer7)
One of the diagonals of a quadrilateral is 16 cm. The perpendiculars drawn to it from its opposite vertices are 2.6 cm and 1.4 cm. Find its area.
A)
\[32\text{ }c{{m}^{2}}\] done
clear
B)
\[~40\text{ }c{{m}^{2}}\] done
clear
C)
\[~26\text{ }c{{m}^{2}}\] done
clear
D)
\[28\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer8)
The ratio of the bases of two triangles is a: b. If the ratio of their corresponding altitudes is c: d, find the ratio of their areas (in the same order).
A)
ac: bd done
clear
B)
ad : be done
clear
C)
bd: ac done
clear
D)
be: ad done
clear
View Solution play_arrow
-
question_answer9)
The base and corresponding altitude of a parallelogram are 18 cm and 6 cm respectively. What is its area?
A)
\[~36\text{ }c{{m}^{2}}\] done
clear
B)
\[~40\text{ }c{{m}^{2}}\] done
clear
C)
\[~44\,c{{m}^{2}}\] done
clear
D)
\[~108\,c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer10)
In\[\Delta ABC,\,AB=8\,cm.\]If the altitudes corresponding to AB and BC are 4 cm and 5 cm respectively, find the measure of BC.
A)
6.4 cm done
clear
B)
4.6 cm done
clear
C)
5.4 cm done
clear
D)
4.5 cm done
clear
View Solution play_arrow
-
question_answer11)
ABCD is a trapezium whose area is \[{{a}^{2}}-{{b}^{2}}.\]lf \[AB=a,\,DC=b\]and\[\overline{AB}||\overline{CD},\]what is the distance between the parallel sides?
A)
(a - b) done
clear
B)
(a + b) done
clear
C)
2(a - b) done
clear
D)
2(a + b) done
clear
View Solution play_arrow
-
question_answer12)
The diagonals AC and BD of a parallelogram ABCD intersect at O.P is a point on AC such that \[AP=\frac{1}{4}AC.\]Which of the following is true?
A)
\[ar(\Delta ADP)=ar(\Delta APB)\] done
clear
B)
\[ar(\Delta ADP)=ar(\Delta DOC)\] done
clear
C)
\[ar(\Delta ADP)=ar(\Delta BCD)\] done
clear
D)
\[ar(\Delta ADP)=ar(\Delta ADB)\] done
clear
View Solution play_arrow
-
question_answer13)
In \[\Delta XYZ,P\]and Q are two points on side XZ such that XP = PQ = QZ.
Which of the following is correct?
A)
\[ar(\Delta PXY)=ar(\Delta PYZ)\] done
clear
B)
\[ar(\Delta PXY)=ar(\Delta PYQ)=ar(\Delta QYZ)\] done
clear
C)
\[ar(\Delta PYQ)=ar(\Delta XYQ)\] done
clear
D)
\[ar(\Delta QYZ)=ar(\Delta XYQ)\] done
clear
View Solution play_arrow
-
question_answer14)
A square PQRS and a rhombus RSTU lie on the same base RS.
What is the relation between their areas?
A)
\[ar(PQRS)=ar(RSTU)\] done
clear
B)
\[ar(PQRS)<ar(RSTU)\] done
clear
C)
\[ar(PQRS)>ar(RSTU)\] done
clear
D)
\[ar(PQRS)=\frac{1}{2}ar(RSTU)\] done
clear
View Solution play_arrow
-
question_answer15)
If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar\[(EFGH)=40c{{m}^{2}},\]find the ar (parallelogram ABCD).
A)
\[~40\,c{{m}^{2}}\] done
clear
B)
\[~20\,c{{m}^{2}}\] done
clear
C)
\[~80\text{ }c{{m}^{2}}\] done
clear
D)
\[~60\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer16)
If a triangle and a square are on the same base and between the same parallels, What is the ratio of their areas in order?
A)
1 : 3 done
clear
B)
1 : 2 done
clear
C)
3 : 1 done
clear
D)
1 : 4 done
clear
View Solution play_arrow
-
question_answer17)
Direction: Observe the figures given and choose the incorrect statements.
A)
\[ar(ABCD)=ar(ADEF)\] done
clear
B)
\[ar(ABCD)=ar(\Delta ADP)+ar(DEFP)\] done
clear
C)
\[ar(\Delta ADP)=\frac{1}{2}[ar(ABCD)]\] done
clear
D)
\[ar(ABCP)=ar(DEFP)\] done
clear
View Solution play_arrow
-
question_answer18)
Direction: Observe the figures given and choose the incorrect statements.
A)
\[ar(\Delta APB)=ar(\Delta QCD)\] done
clear
B)
\[ar(ABQD)=2ar(APQD)\] done
clear
C)
\[ar(ABQD)=ar(\Delta ABP)+ar(APQD)\] done
clear
D)
\[ar(ADCP)=ar(\Delta ABP)+ar(APQD)\] done
clear
View Solution play_arrow
-
question_answer19)
Direction: Observe the figures given and choose the incorrect statements.
A)
\[ar(ABCD)=ar(PBCS)-ar(PSDA)\] done
clear
B)
\[ar(ABCD)=ar(AQRD)-ar(QRCB)\] done
clear
C)
\[ar(ABCD)=ar(PQRS)+[ar(PSDA)-ar(QRCB)]\] done
clear
D)
\[ar(ABCD)=ar(PQRS)-[ar(PSDA)+ar(QRCB)]\] done
clear
View Solution play_arrow
-
question_answer20)
Direction: Observe the figures given and choose the incorrect statements.
A)
\[ar(\Delta BCE)=\frac{1}{2}ar(ABCD)\] done
clear
B)
\[ar(\Delta BCE)=2ar(ABCD)\] done
clear
C)
\[ar(\Delta BCE)=ar(ABCD)\] done
clear
D)
\[ar(\Delta BCE)\] done
clear
View Solution play_arrow
-
question_answer21)
Direction: Based on the figure given, identify the true statements.
A)
\[ar(PQRS)=2ar(\Delta PNR)\] done
clear
B)
\[ar(PQRS)=2ar(MNRS)\] done
clear
C)
\[ar(PQRS)=ar(MNRS)\] done
clear
D)
\[ar(MNRS)=2ar(PQRS)\] done
clear
View Solution play_arrow
-
question_answer22)
Direction: Based on the figure given, identify the true statements.
A)
\[ar(\Delta PRS)=ar(\Delta QRN)\] done
clear
B)
\[ar(\Delta PQR)=ar(\Delta PSR)\] done
clear
C)
\[ar(\Delta QRN)=\frac{1}{2}ar(PNR)\] done
clear
D)
\[ar(\Delta PMS)=ar(\Delta QNR)\] done
clear
View Solution play_arrow
-
question_answer23)
In a\[\Delta ABC,G\]is the centroid. What is the ratio of area of \[\Delta AGC\]to area of\[\Delta ABC?\]
A)
1 :2 done
clear
B)
1 :3 done
clear
C)
1:4 done
clear
D)
1:6 done
clear
View Solution play_arrow
-
question_answer24)
A square and a rhombus are on the same base and between the same parallels. Which of the following is the ratio of their areas?
A)
1 : 1 done
clear
B)
1 : 2 done
clear
C)
1 : 3 done
clear
D)
1 : 4 done
clear
View Solution play_arrow
-
question_answer25)
Find the area of the given quadrilateral ABCD.
A)
\[~36\text{ }c{{m}^{2}}\] done
clear
B)
\[~24\text{ }c{{m}^{2}}\] done
clear
C)
\[~48\text{ }c{{m}^{2}}\] done
clear
D)
\[~32\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer26)
In the given figure, AB || DC. Identify the triangles that have equal areas.
A)
\[\Delta ADX,\Delta ACX\] done
clear
B)
\[\Delta ADX,\Delta XCB\] done
clear
C)
\[\Delta ACX,\Delta XDB\] done
clear
D)
All the above done
clear
View Solution play_arrow
-
question_answer27)
In the given figure, ABCD is a parallelogram. If area of\[\Delta ABL\]is \[15\text{ }c{{m}^{2}}\]and area of\[\Delta DCL\] is \[32\,c{{m}^{2}},\] find the area of the parallelogram ABCD.
A)
\[~94\text{ }c{{m}^{2}}\] done
clear
B)
\[~86\text{ }c{{m}^{2}}\] done
clear
C)
\[~72\text{ }c{{m}^{2}}\] done
clear
D)
\[~65\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer28)
Which of the following figures is obtained by joining mid-points of adjacent sides of a rectangle of sides 8 cm and 6 cm?
A)
A rectangle of area \[24\,c{{m}^{2}}.\] done
clear
B)
A square of area \[25\,c{{m}^{2}}.\] done
clear
C)
A trapezium of area\[24\text{ }c{{m}^{2}}.\] done
clear
D)
A rhombus of area \[24\text{ }c{{m}^{2}}.\] done
clear
View Solution play_arrow
-
question_answer29)
In the given figure, ABCD is a trapezium with parallel sides AB = a cm, and CD = b cm. E and F are the mid points of non-parallel sides. What is the ratio of ar (EFCD) and ar (ABFE)?
A)
b:a done
clear
B)
(a + 3b): (3a + b) done
clear
C)
(1 + 3b): (3a + b) done
clear
D)
(2a + b): (3a + b) done
clear
View Solution play_arrow
-
question_answer30)
In the given figure, ABCD is a quadrilateral. BP||AC and BP meets DC (pro- duced) in P. If area of the quadrilateral ABCD is 145 square units, find the area of the\[\Delta ADP.\]
A)
126 sq. units done
clear
B)
145 sq. units done
clear
C)
135 sq. units done
clear
D)
112 sq. units done
clear
View Solution play_arrow
-
question_answer31)
In the given figure, if p//q, what is the area of \[\Delta ABC?\]
A)
\[~77\text{ }c{{m}^{2}}\] done
clear
B)
\[~38.5\text{ }c{{m}^{2}}\] done
clear
C)
40 cm done
clear
D)
\[~19.25\,c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer32)
AD is the median of a\[\Delta ABC\]and the area of \[\Delta ADC=15\,c{{m}^{2}}.\]Find the ar \[(\Delta ABC.)\]
A)
\[~15\,c{{m}^{2}}\] done
clear
B)
\[22.5c{{m}^{2}}\] done
clear
C)
\[~30\text{ }c{{m}^{2}}\] done
clear
D)
\[~37.5\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer33)
If D, E and F are the mid-points of the sides BC, CA and AB of a \[\Delta ABC\]respectively, what is the quadrilateral AFDE?
A)
A square done
clear
B)
A rectangle done
clear
C)
A parallelogram done
clear
D)
A trapezium done
clear
View Solution play_arrow
-
question_answer34)
A triangle and a rhombus are on the same base and between the same parallels. What is the ratio of area of triangle to that of rhombus?
A)
1 :1 done
clear
B)
1 : 2 done
clear
C)
1 : 3 done
clear
D)
1 : 4 done
clear
View Solution play_arrow
-
question_answer35)
P is a point in the interior of parallelogram ABCD. If ar \[(I{{I}^{gm}}ABCD)=18c{{m}^{2}},\] what is the value of \[[ar(\Delta APD)+ar(\Delta CPB)]?\]
A)
\[~9\,c{{m}^{2}}\] done
clear
B)
\[~12\,c{{m}^{2}}\] done
clear
C)
\[~18\,c{{m}^{2}}\] done
clear
D)
\[~15\,c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer36)
In the given figure, D is the mid-point of BC and L is the mid-point of AD. If ar \[(\ \Delta ABL)=x\]ar \[(\Delta ABC),\] what is the value of\[x?\]
A)
2 done
clear
B)
\[\frac{1}{2}\] done
clear
C)
\[\frac{1}{4}\] done
clear
D)
4 done
clear
View Solution play_arrow
-
question_answer37)
Area of a parallelogram ABCD is \[432\,c{{m}^{2}}.\] If BC // AD and the distance between BC and AD is 20 cm, what is the measure of the side BC of parallelogram ABCD?
A)
43.2cm done
clear
B)
10.8cm done
clear
C)
18.2cm done
clear
D)
21.6cm done
clear
View Solution play_arrow
-
question_answer38)
Which of the following statements is true about a median of a triangle?
A)
It divides the triangle into two triangles of equal area. done
clear
B)
It divides the triangle into two congruent triangles. done
clear
C)
It divides the triangle into two right triangles. done
clear
D)
It divides the triangle into two isosceles triangles. done
clear
View Solution play_arrow
-
question_answer39)
In the given figure, what is the area of parallelogram ABCD?
A)
\[~AB\times BM\] done
clear
B)
\[~BC\times BN\] done
clear
C)
\[DC\times DL\] done
clear
D)
\[~AD\times DL\] done
clear
View Solution play_arrow
-
question_answer40)
In the given figure, S and T are the mid- points of PR and PQ respectively of \[\Delta PQR.\]If ar \[(\Delta PQR)=48c{{m}^{2}},\] find the area of (ATSQ).\[(\Delta TSQ).\]
A)
\[48\,c{{m}^{2}}\] done
clear
B)
\[~24\,c{{m}^{2}}\] done
clear
C)
\[~12\,c{{m}^{2}}\] done
clear
D)
\[~6\,c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer41)
In\[\Delta ABC,AB=16cm,\,BC=9.6\,cm,\]\[\,CD\bot AB.\]if \[CD=6\,cm,\]find AE.
A)
10 cm done
clear
B)
48 cm done
clear
C)
8.4 cm done
clear
D)
9.6 cm done
clear
View Solution play_arrow
-
question_answer42)
In the given figure, D, E and F are the mid- points of the sides BC, CA and AB respectively of a \[\Delta ABC.\] If ar \[(\Delta DEF)=14c{{m}^{2}},\] find the area of \[\Delta ABC.\]
A)
\[~14\,c{{m}^{2}}\] done
clear
B)
\[~28\,c{{m}^{2}}\] done
clear
C)
\[~7\text{ }c{{m}^{2}}\] done
clear
D)
\[~56\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer43)
In the given figure, REST is a parallelogram. \[TP\bot RE\]and\[TQ\bot ES.\]If TR = 6cm, RE=16 cm and TP = 4.8 cm. what is the length of TQ?
A)
12.8 cm done
clear
B)
15 cm done
clear
C)
8 cm done
clear
D)
10.2 cm done
clear
View Solution play_arrow
-
question_answer44)
In the given figure, ABCD is a parallelogram and L is the mid-point of DC. If ar (ABCL) is \[72\,c{{m}^{2}},\] find ar \[(\Delta ADC).\]
A)
\[24\text{ }c{{m}^{2}}\] done
clear
B)
\[~48\text{ }c{{m}^{2}}\] done
clear
C)
\[~36c{{m}^{2}}\] done
clear
D)
\[~54c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer45)
If In the figure ABCD is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If \[AD=2\sqrt{5}\,cm,\]find the area of the rectangle.
A)
\[30\,c{{m}^{2}}\] done
clear
B)
\[50\,c{{m}^{2}}\] done
clear
C)
\[~40\text{ }c{{m}^{2}}\] done
clear
D)
\[~35\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer46)
In the given figure, D, E and F are the mid-points of the sides BC, CA and AB respectively. If ar \[(BDEF)=x\]ar \[(\Delta AFE),\]what is the value of\[x?\]
A)
\[\frac{1}{2}\] done
clear
B)
1 done
clear
C)
2 done
clear
D)
4 done
clear
View Solution play_arrow
-
question_answer47)
In the figure given, D divides the side BC of \[\Delta ABC\]in the ratio 3:5. What is the area of\[\Delta ABD?\]
A)
\[\frac{2}{5}\times ar(\Delta ABC)\] done
clear
B)
\[\frac{3}{5}\times ar(\Delta ABC)\] done
clear
C)
\[\frac{5}{8}\times ar(\Delta ABC)\] done
clear
D)
\[\frac{3}{8}\times ar(\Delta ABC)\] done
clear
View Solution play_arrow
-
question_answer48)
ABCD is a parallelogram, \[Al\bot CD\]and \[AM\bot BC.\] If AB = 12 cm, AD = 8 cm and AL = 6 cm, find the measure of AM.
A)
9 cm done
clear
B)
10 cm done
clear
C)
12 cm done
clear
D)
15 cm done
clear
View Solution play_arrow
-
question_answer49)
ABCD is a parallelogram and P is the midpoint of AB. If ar\[(APCD)=36\,c{{m}^{2}},\]find ar \[(\Delta ABC),\]
A)
\[~36\text{ }c{{m}^{2}}\] done
clear
B)
\[~48\text{ }c{{m}^{2}}\] done
clear
C)
\[~24\text{ }c{{m}^{2}}\] done
clear
D)
\[~42\text{ }c{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer50)
In \[\Delta ABC,\, AB =7.2\,cm, BC=4.8cm,\,AM\bot BC\]if \[CL=4\,cm,\]find the measure of AM.
A)
12 cm done
clear
B)
8 cm done
clear
C)
4 cm done
clear
D)
6 cm done
clear
View Solution play_arrow