SAS similarity

Q.

In the adjoining figure, $△FGH$ and $△QPR$ are

1. similar by AA similarity criterion

2. similar by SAS similarity criterion

3. similar by SSS similarity criterion

4. not similar

Q. $ABC$ is a triangle and $DE$ is drawn parallel to $BC$ cutting the other sides at $D$ and $E$. If $AB=3.6cm,AC=2.4cm$ and $AD=2.1cm$, then $AE$ = ______.

1. $1.4cm$
2. $1.8cm$
3. $1.2cm$
4. $1.05cm$

Q. In $\Delta ABC,AB=BC=6cm$. If a circle is drawn with center at B and radius 2 cm which intersects AB and BC at E and D, then $\Delta ABC\sim \Delta EBD$.

1. False
2. True

Q. In $\Delta ABC,AB=BC=6cm$. A circle is drawn with center at B and radius 2 cm. What is the scale factor of the triangle formed by the point B and the points where the circle intersects $△ABC$?

1. $\frac{2}{3}$
2. $\frac{1}{2}$
3. $1$
4. $\frac{1}{3}$

Q.

In the given figure, DE || BC. If AD = 6 cm, AB = 24 cm and DE = 5 cm, then BC = ____ cm.

1. 5

2. 24

3. 10

4. 20

Q.

$△ABD\sim △PQS$ and AD and PS are the medians, then

1. $\frac{AC}{BC}=\frac{QR}{PR}$

2. $\frac{AC}{BC}=\frac{PR}{QR}$

3. $\frac{AB}{AC}=\frac{QR}{PR}$

4. $\frac{AC}{AB}=\frac{QR}{PR}$

Q.

In the given figure, if $\angle B=\angle Q$, then _____.

1. $△CBA\sim △PQR$

2. $△ABC\sim △PQR$

3. $△ABC\sim △RQP$

4. $△CBA\sim △QPR$

Q.

If two sides of a triangle are proportional to two sides of another triangle then the triangles are similar.

1. True

2. False

Q.

If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.

1. True

2. False

Q.

Two triangles are similar by SAS similarity if,

1. Two sides are equal and angles contained by the sides are equal.
2. The ratio of two corresponding sides is equal and the angles contained by the sides are equal.
3. The ratio of two corresponding sides is equal and all the angles are equal.
4. The ratio of two corresponding sides is equal and all the corresponding angles are equal.

Q. $\Delta ABC$ and $\Delta PQR$ are two similar triangles shown in the figure. AM and PN are the medians on $\Delta ABC$ and $\Delta PQR$ respectively. Which of the following statements is true?

1. $\Delta ABM$ ~ $\Delta PQR$
2. $\Delta AMC$ ~ $\Delta PNR$
3. $\Delta ABM$ ~ $\Delta PQN$
4. $\Delta ABM$ ~ $\Delta PNQ$