Question
In figure 1.55, ∠ABC = 75°, ∠EDC = 75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

Answer

With one- to-one correspondence ABC ↔ EDC∵ ∠ABC ≅ ∠EDC = 75°
∠ACB ≅ ∠ECD (Is common in both the triangles ABC and EDC)

⇒ Δ ABC~Δ EDC ………(By AA Test)

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

During a sale, colour pencils were being sold in packs of 24 each and crayons in packs of 32 each. If you want full packs of both and the same number of pencils and crayons, how many of each would you need to buy?
Solve the following simultaneous equation graphically.
x – 3y = 1; 3x – 2y + 4 = 0
The radius and height of a solid right-circular cone are in the ratio of $5 : 12$. If its volume is $314\ cm^3$, find its total surface area. [Take $\pi$ = $3.14$.]
120 students of standard 10 were asked which game they
 like and from this information pie chart is prepared, observe
 the pie diagram and answer the questions.
a) How many students like to play Tennis?
b) What will be central angle for Kho-Kho?
c) How many students like Kabaddi? 

Image

The diameter and length of a roller is 120 cm and 84 cm respectively. To level the ground, 200 rotations of the roller are required. Find the expenditure to level the ground at the rate of Rs. 10 per sq. m
Evaluate the following:
If A = 30°, verify that:
$\sin2\text{A}=\frac{2\tan\text{A}}{1+\tan^2\text{A}}$
Solve the following systems of equations has unique solution and solve it:
$\frac{\text{x}}{3}+\frac{\text{y}}2{}=3,\ \text{x}-\text{2y}=2$
Find the sum of first 20 terms of the sequence whose $n^{\text {th }}$ term is $a_n=A n+B$.
Prove that:
$\Big(\frac{\sin49^\circ}{\cos41^\circ}\Big)^2+\Big(\frac{\cos41^\circ}{\sin49^\circ}\Big)^2=2$
Find the mean of each of the following frequency distributions:
Class interval
0-8
8-16 16-24 24-32 32-40
Frequency
5 9 10 8 8