SAS Similarity

Q. In which shape are the diagonals equal in length and bisect each other at 90°?

Q. Two similar triangles will always have ________angles
a. acute
b. Obtuse
c. Right
d. Matching
$\left[1\right]$

Q.

In $△$ ABC and $△$ DEF, $\angle$A = $\angle$E = ${40}^{\circ }$ and $\frac{AB}{ED}$ = $\frac{AC}{EF}$. Find $\angle$B if $\angle$F is ${65}^{\circ }$.

1. ${35}^{\circ }$

2. ${65}^{\circ }$

3. ${75}^{\circ }$

4. ${85}^{\circ }$

Q. Which of the following statement is true for the given triangles?

1. $△ABC\sim △PQR$
2. $\Delta ABC\sim \Delta QPR$
3. $\angle BAC=\angle QPR$
4. $\angle BCA\ne \angle PRQ$

Q. In given figure ABC is an isosceles triangle with AB=AC and D is a point on AC such that ${BC}^2=AC\times CD$. Prove that BD=BC.

Q. In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.

Q. In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.

Q.

In the above figure, DM, HN and EG are parallel lines and AB || CD. Find the value of angle x using the given angles.

1. 60°
2. 100°
3. 80°
4. 20°