# MCQ on Triangles (Part 1) – Class 10 Mathematics – Chapter 6 (NCERT)

The Chapter 6 of Class 10 Mathematics under NCERT Syllabus is about the Triangles. The Chapter 6 discusses about the Similarity of the Triangles, Criteria for Similarity of Triangles, Areas of Similar Triangles and Pythagoras Theorem. This section consists of Multiple Choice Questions (MCQ) on Triangles which is the Chapter 6 of Class 10 Mathematics.

This is the part 1 of MCQ on Triangles. This part consists of 20 Multiple Choice Question on Triangles and the Similarity of Triangles. There are four options for each questions out of which only one option is correct. Choose the correct answer for each question and click on the submit button for results.

## MCQ on Triangles (Part 1) -  Class 10 Mathematics - Chapter 6 (NCERT)

1.
The given shapes are mathematically similar. The unknown side $x$ is 2.
In the given figure, $DE||BC$. If $AD=3cm$, $DB=4cm$ and $AE=6cm$, then EC is 3.
In the following figure, $\frac{PS}{SQ}=\frac{PT}{TR}$ and $\angle PST=\angle PRQ$. Then, $\vartriangle PQR$ is an 4.
If the corresponding sides of two triangles ...................., the two triangles are similar.

5.
"Two quadrilaterals are similar, if their corresponding angles are equal".

6.
In the given figure $P$ and $Q$ are points on the sides $AB$ and $AC$ respectively of $\vartriangle ABC$ such that $AP=3.5cm$, $PB=7cm$, $AQ=3cm$ and $QC=6cm$. If $PQ=4.5cm$, then the value of $BC$ is 7.
In $\vartriangle ABC$, $D$ and $E$ are point on the sides $AB$ and $AC$ respectively, such that $DE||BC$. If $AD=4x-3$, $AE=8x-7$, $BD=3x-1$ and $CE=5x-3$, then the value of $x$ is

8.
Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle then the two triangles are similar.

9.
If in $\vartriangle LMN$ and $\vartriangle OPQ$, $\frac{LM}{OP}=\frac{MN}{OQ}, then they will be similar when 10. All ................... trinagles are similar. 11. It is given that \[\vartriangle ABC~ \vartriangle PQR$ such that $AB=5 cm$, $AC=7 cm$, $QR=15 cm$ and $PQ=12 cm$. The length of the remaining sides of the triangle is

12.
If the corresponding angles of two triangles are proportional, the two triangles are similar

13.
The given quadrilaterals are 14.
The line joining the mid points of two sides of a triangle is

15.
In the given figure $DE||BC$. If $AD=x$, $DB=x-2$, $AE=x+2$ and $EC=x-1$, then the value of $x$ is 16.
In $\vartriangle PQR$, $ST||QR$, $\frac{PS}{SQ}=\frac{3}{5}$ and $PR=28cm$, then the value of PT is 17.
Two figures having the same shape but not necessarily the same size are called similar figures

18.
In the given figure of $\vartriangle ABC$, $DE||AC$. If $DC||AP$, where point $p$ lies on $BC$ produced, then $\frac{BE}{EC}=$ 19.
If $\vartriangle ABC ~ \vartriangle DEF$, $AB=6.5 cm$, $DE=10.4 cm$ and the perimeter of $\vartriangle ABC=60 cm$, the perimeter of $\vartriangle DEF$ is

20.
If a line divides any two sides of a triangle in the same ratio, then the line is ................. to the third side

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