TRIANGLES Test-01

TRIANGLES Test-01

This is TRIANGLES Test-01 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
In $\Delta ABC\;and\;\Delta PQR,\;\angle B$ $ = \angle Q,\;\angle R = \angle C\;and\;AB\; $ $= 2QR.\;\\Then,\;the\;triangles\;are$
  • A
    neither congruent nor similar.
  • B
    congruent as well as similar.
  • C
    similar but not congruent.
    Correct
  • D
    congruent but not similar.
2
If in\(\Delta ABC\)and \(\Delta DEF\), \(\frac{{AB}}{{DE}} = \frac{{BC}}{{FD}},\)then they will be similar, when
  • A
    \(\angle B = \angle E.\)
  • B
    \(\angle B = \angle D.\)
    Correct
  • C
    \(\angle A = \angle F.\)
  • D
    \(\angle A = \angle D.\)
3
If in two triangles ABC and DEF,\(\frac{{AB}}{{DE}} = \frac{{BC}}{{FE}} = \frac{{CA}}{{FD}},\;then\)
  • A
    \(\Delta CBA \sim \Delta FDE.\)
  • B
    \(\Delta BCA \sim \Delta FDE.\)
  • C
    \(\Delta FDE \sim \Delta CAB.\)
    Correct
  • D
    \(\Delta FDE \sim \Delta ABC.\)
4
If \(\Delta ABC \sim \Delta EDF\) and \(\Delta ABC\)is not similar to \(\Delta DEF,\)then which of the following is not true?
  • A
    BC . DE = AB .FD.
  • B
    BC . DE = AB .EF.
    Correct
  • C
    AB .EF = AC . DE.
  • D
    BC .EF = AC .FD.
5
It is given that \(\Delta ABC \sim \Delta DFE,\;\angle A = {30^0},\;\angle C = {40^0},\;AB = 5\;cm,\)\(AC = 8\;cm\;and\;DF\)\(\; = \;7.5\;cm.\)Then, the following is true.
  • A
    \(\angle F = {110^0},DE = 12cm\)
    Correct
  • B
    \(\angle D = {30^0},EF = 12cm\)
  • C
    \(\angle D = {110^0},EF = 12cm\)
  • D
    \(\angle F = {40^0},DE = 12cm\)
6
In the given figures the measures of \(\angle P\;and\;\angle R\) are respectively
Question 6 figure 1
  • A
    \({50^0},\;{40^0}.\)
  • B
    \({30^0},\;{20^0}.\)
  • C
    \({40^0},\;{50^0}.\)
  • D
    \({20^0},\;{30^0}.\)
    Correct
7
In the given figure if \(\angle ADE\; = \angle ABC,\;then\;CE\;is\;equal\;to\;\)
Question 7 figure 1
  • A
    4.5.
    Correct
  • B
    3.
  • C
    5.
  • D
    2.
8
In the given figure, \(DE||BC.\;AB\; = \;15\;cm,\;BD = 6\;cm,\;AC = 25\;cm,\;\)then AE is equal to
Question 8 figure 1
  • A
    18 cm.
  • B
    20 cm.
  • C
    10 cm.
  • D
    15 cm.
    Correct
9
In the given figure \(XY||BC.\;If\;AX\; = \;3\;cm,\;XB = 1.5\;cm\;and\;BC = 6\;cm,\;\)then XY is equal to
Question 9 figure 1
  • A
    6 cm.
  • B
    4 cm.
    Correct
  • C
    4.5 cm
  • D
    3 cm.
10
In the adjoining figure P and Q are points on the sides AB and AC respectively of \(\Delta ABC\)such that AP = 3.5 cm, PB = 7cm, AQ = 3 cm, QC = 6 cm and PQ = 4.5 cm. The measure of BC is equal to
Question 10 figure 1
  • A
    12.5 cm.
  • B
    13.5 cm.
    Correct
  • C
    9 cm.
  • D
    15 cm
11
In the given figure AD : DB = 1 : 3, AE : EC = 1 : 3 and BF : FC = 1 : 4, then
Question 11 figure 1
  • A
    \(DE||BC.\)
    Correct
  • B
    \(AE||DF.\)
  • C
    \(AD||FE.\)
  • D
    \(AD||FC.\)
12
In the given figure if \(DE||BC,\)then x is equal to
Question 12 figure 1
  • A
    15.
  • B
    19.
  • C
    17.
  • D
    11.
    Correct
13
In the given figure\(PQ||BC.\;\;\frac{{AP}}{{PB}} = 4,\)then the value of \(\frac{{AQ}}{{AC}}\)is
Question 13 figure 1
  • A
    \(\frac{5}{4}.\)
  • B
    5.
  • C
    \(\frac{4}{5}\).
    Correct
  • D
    4.
14
In the given figure if \(BP||CF,\)\(DP||{\rm E}F,\)then AD : DE is equal to
Question 14 figure 1
  • A
    3 : 4.
  • B
    1 : 4.
  • C
    1 : 3.
    Correct
  • D
    2 : 3.
15
In the adjoining figures\(RS||DB||PQ.\;If\;CP\; = \;PD\; = \;and\;DR\; = \;RA\; = \;3.\;Then,\)
Question 15 figure 1
  • A
    x = 10, y = 7.
  • B
    x = 16, y = 8.
    Correct
  • C
    x = 12, y = 10.
  • D
    x = 14, y = 6.