APPSC Group 2 Practice Test-3

ABC is an isosceles right angled triangle, right angled at C the AB2 =
a. AC2
b. 2AC2
c. BC2
d. 3AC2

A perpendicular is drawn from the vertex of a right angle to the hypotenuse then the triangle angles on each side of the perpendicular are _______
a. Square
b. Not similar
c. None
d. Similar

If ∆ABC ~ ∆PQR ; AB = 6, PQ = 9, BC = 10 then find QR
a. 30
b. 23
c. 15
d. 21

If ∆ABC ~ ∆DEF such that 2AB = DE and BC = 8 cm, then EF = ___ cm.
a. 16
b. 21
c. 14
d. 13

∆ABC ~ ∆DEF; if sum of the angles E and F is 1300 then find angle A in degrees.
a. 50
b. 40
c. 20
d. 30

Two __ are always similar.
a. Triangles
b. Trapeziums
c. Rectangles
d. Squares

Diagonals of trapezium ABCD with AB || DC intersect each other at the point ‘O’. IF AB = 2CD, find the ratio of areas of triangles AOB and COD.
a. 4 : 1
b. 3 : 2
c. 2 : 5
d. 1 : 4

The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 12cm, determine the corresponding side of the second triangle.
a. 2 cm
b. 1 cm
c. 5 m
d. 8 cm

The areas of two similar triangles ∆ABC and ∆DEF are 144 cm2 and 80 cm2 respectively. If the longest side of larger ∆ABC be 36 cm, then find the longest side of the smaller ∆DEF in cm.
a. 50
b. 30
c. 40
d. 20

ABCD is a trapezium with AB || DC. If AC and BD intersect at E and triangles AED and BEC are similar, then
a. AD = AB
b. AD = AC
c. AD = DB
d. AD = BC

In a triangle ABC if angle B = 900, angle C = 300, AC = 10 cm then find BC = __ m.
a. 4
b. 3
c. 2
d. 5

The ratio of areas of two similar triangles is equal to the ratio the squares of corresponding ___
a. Sides
b. Angles
c. None
d. Areas

The angles of a triangle are in the ratio 1 : 2 : 3 then the largest angle is ___ degrees
a. 60
b. 70
c. 20
d. 90

Side of a rhombus is 4 cm then its perimeter is ___ cm
a. 21
b. 20
c. 16
d. 22

A perpendicular is drawn from the vertex of a right angle to the hypotenuse then the triangle angles on each side of the perpendicular are _______
a. Similar
b. Not similar
c. None
d. Square

In triangle ABC, D and E are points on the sides AB and AC respectively. Such that DE || BC. If AD = 5 cm, DB = 8 cm and AC = 6.5 cm find AE in cm’s
a. 5.5
b. 3.5
c. 2.5
d. 4.5

In triangle ABC, AD bisects angle A. AB = 6 cm, BD = 8 cm and DC = 6 cm. Then find AC
a. 4.5 cm
b. 3.5 cm
c. 1.5 cm
d. 2.5 cm

A triangle and a parallelogram each have the same base of 8 cm and area of 40 sq.cm, then their heights are
a. 6 , 4
b. 8 , 4
c. 10 , 5
d. 40 , 20

The ratio of the corresponding sides of two similar triangles is 5 : 3 then the ratio of their areas
a. 5 : 3
b. 25 : 9
c. 6 : 10
d. 3 : 5