TRIANGLES - MCQs

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Maths — TRIANGLES

50 Questions Class 10 MCQs
1
If in two triangles, their corresponding angles are equal, then the triangles are:
2
In triangle \(ABC\), if \(DE \parallel BC\) and \(D,\ E\) lie on \(AB\) and \(AC\) respectively, then \(AD/DB =\)
3
The Basic Proportionality Theorem is also known as:
4
If two triangles are similar, then the ratio of their areas equals:
5
If \(\mathrm{\Delta ABC \sim \Delta DEF}\) and \(AB/DE = 2/3\), area ratio = ?
6
In \(\Delta ABC\), if \(\angle A = \angle D\) and \(\angle B = \angle E\), then triangles are similar by:
7
A line parallel to one side of a triangle divides the other two sides:
8
If \(\Delta ABC \sim \Delta PQR\) and \(AB = 4\ cm,\ PQ = 2\ cm\), scale factor =
9
If triangles \(\mathrm{\Delta ABC \sim \Delta DEF}\) are similar, \(\angle A\) corresponds to:
10
In similar triangles, perimeters are in the ratio of:
11
Two sides proportional + included angle equal gives:
12
In\(\Delta ABC,\ DE \parallel BC\). If \(AD = 3\) and \(DB = 6,\ AE/EC =\)
13
If \(\mathrm{\Delta ABC \sim \Delta DEF}\), then AB/DE = BC/EF = AC/DF, triangles are similar by:
14
A line joining midpoints of two sides of a triangle is:
15
If area ratio = 9/4 for similar triangles, side ratio =
16
A line dividing two sides proportionally must be:
17
If AC = 10 and QR = 5 in similar triangles, scale factor =
18
Not a similarity criterion:
19
If DE ∥ BC and AD/DB = 5/3, then AE/EC =
20
Sum of angles in similar triangles:
21
If \(\mathrm{\Delta ABC \sim \Delta DEF}\) and \(\mathrm{AB = 6,\ DE = 3}\) in similar triangles, side ratio =
22
In \(\mathrm{\Delta ABC,\ DE ∥ BC}\). If \(\small\mathrm{AE = 4,\ EC = 8,\ AD = 3,\ DB =}\)
23
Which triangle cannot be similar to a right triangle?
24
If \(\mathrm{\Delta ABC \sim \Delta PQR}\) and \(\mathrm{AB = 5,\ PQ = 15}\) and triangles are similar, \(\mathrm{\Delta ABC}\) is:
25
Similar triangles always have:
26
If \(\mathrm{\Delta ABC \sim \Delta PQR}\) and \(\mathrm{AB/BC = PQ/QR}\) and included angles equal:
27
If median, altitude, and angle bisector from same vertex coincide, triangle is:
28
if \(\mathrm{\Delta ABC \sim \Delta DEF}\) \(\mathrm{AC/DF = 12/4 = 3}\) in similar triangles. Area ratio =
29
Property true for similar polygons:
30
Triangles with proportional sides but unequal angles are:
31
If \(\Delta ABC \sim \Delta XYZ\) and \(\angle A = 50°, \angle X =\)
32
If \(\mathrm{\Delta ABC \sim \Delta PQR}\) and \(\mathrm{AB/PQ = 2}\), \(\mathrm{BC = 10 ,\ QR =}\)
33
In \(\Delta ABC,\ DE \parallel BC.\) If \(AD = 2,\ DB = 8,\) \(AE = 3,\ EC =\)
34
Ratio of medians in similar triangles equals:
35
A triangle similar to a right triangle must be:
36
If scale factor is 1/3, big triangle side/small triangle side =
37
If \(\mathrm{\Delta ABC \sim \Delta DEF}\) and \(\mathrm{AB/DE = 7/14 = 1/2}\), so area ratio =
38
Ratio of altitudes in similar triangles =
39
If AD/DB = 9/3 = 3, AE/EC =
40
Ratio of corresponding heights in similar triangles =
41
Two equilateral triangles are always:
42
If \(\mathrm{\Delta ABC \sim \Delta PQR}\) and \(\mathrm{\angle B = 40^\circ,\ ∠Q =}\)
43
If \(\mathrm{\Delata ABC \sim \Delta DEF}\) \(\mathrm{AC/DF}\) = 12/4 = 3; \(\mathrm{EC}\) = 10/3 =
44
If one triangle has \(\mathrm{\angle A = 90^\circ}\), similar triangle must be:
45
AB/DE = BC/EF = 4/5 indicates:
46
Ratio of angle bisectors in similar triangles =
47
Side ratio = 3/1, area ratio =
48
A line dividing two sides in the same ratio must be:
49
Side ratio = 5/2, area ratio =
50
If scale factor = 3 (from smaller to larger) and EF = 6, BC =
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Frequently Asked Questions

A triangle is a closed figure formed by three line segments and has three vertices, three sides, and three angles.

When two triangles have the same shape and size, their corresponding sides and angles are equal; they are said to be congruent.

The main congruence rules are SSS, SAS, ASA, AAS, and RHS for right triangles.

Two triangles are similar if their corresponding angles are equal and corresponding sides are in proportion.

AAA / AA, SAS similarity, and SSS similarity.

If two angles of one triangle are equal to two angles of another, the triangles are similar.

If a line is drawn parallel to one side of a triangle to intersect the other two sides, it divides the sides proportionally.

Thales’ Theorem is another name for the Basic Proportionality Theorem (BPT).

If a line divides any two sides of a triangle in the same ratio, the line must be parallel to the third side.

In a right-angled triangle: \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse.

If for a triangle \(a^2 + b^2 = c^2\), the triangle is right-angled.

The ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

The sides and angles that occupy the same relative position in congruent or similar triangles.

By showing the ratio of all three pairs of corresponding sides is equal.

If the hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle, the triangles are congruent.

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