Constructing a Similar Triangle with a Scale Factor

Q.

The ratio between the corresponding sides of two similar triangles is called __.

Q.

Construct a $\angle$ABC = 30${}^{\circ }$. Mark a point D on BC such that BD = 6 cm. Find the radius of the circle to touch the line AB at B and also pass through D.

1. 5.5 cm

2. 2.5 cm

3. 3.464 cm

4. 6.4 cm

Q. What is congruency?

Q.

Draw two intersecting lines to include an angle of 30${}^{\circ }$. Use ruler and compass to locate points which are equidistant from these lines and also 2 cm away from their point of intersection. How many such point/points exist(s)?

1. 1

2. 2

3. 3

4. 4

Q. $OE=\frac{1}{2}AB.$ ( Enter 1 if true or 0 otherwise)

Q.

What will be the ratio of corresponding sides formed in the construction of a similar triangle to ΔABC, if C divides the line segment AB in the ratio 8:17?

__

Q. Construct a triangle ABC in which BC is 4 cm, angle B is ${45}^{\circ }$ and AB − AC = 1.75 cm.

Q.

The scale factor for constructing similar triangles gives the ____ of corresponding sides of triangles.

Q. A set of triangles is formed by joining the midpoints of the larger triangles. If the area $△ABC$ is $128$, then the area of $△DEF$, the smallest triangle formed, is:

1. $\frac{1}{8}$
2. $\frac{1}{4}$
3. $\frac{1}{2}$
4. $4$
5. $1$

Q. Construct a triangle ABC in which BC is 4 cm, angle B is ${45}^{\circ }$ and AB − AC = 1.75 cm.

Q.

Construct a triangle ABC, in which $\angle$B = ${60}^{\circ }$, $\angle$C = ${60}^{\circ }$ and AB + BC+ CA = 18 cm. What type of triangle is this? Find the length of each side by calculation. Verify the calculation from the construction. [4 MARKS]

Q.

In the given figure, AD divides ∠ BAC in the ratio 1:3. Find the value of x and ∠ ADC.

1. $30°,125°$
2. $20°,125°$
3. $20°,115°$
4. $115°,20°$

Q. In the circle with centre $O,PQ$ and $RS$ are diameters. $M$ and $N$ are points on the arcs $QR$ and $QS$ respectively and $RX=SY$ then $PXQY$ is a parallelogram.

1. True
2. False

Q. Construct a triangle ABC in which BC is 4 cm, angle B is ${45}^{\circ }$ and AB − AC = 1.75 cm.