Triangle ABC:
Triangle DEF:
Comparing the two triangles:
We can see that both triangles have two sides with the same lengths:
Also, both triangles have a right angle:
Conclusion:
By the Side-Angle-Side (SAS) congruence criterion, we can conclude that:
ΔABC ≅ ΔDEF
Therefore, the correct statement is:
Triangle ABC is congruent to triangle DEF.
English
150 Questions
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150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishPQ is a chord in the minor segment of a circle and R is a point on the minor arc PQ. The tangents at the points P and Q meet at the point T. If ∠PRQ =102°, then the measure of ∠PTQ is :
In △ABC, AB = AC = 12 cm, BC = 5 cm and D is a point on AC such that DB = BC. What is the measure of CD?
Which of the following statements is wrong ?
In the following table two columns are given. Match column A with column B.
Column A | Column B |
[a] Acute angle | [i] 90° |
[b] Obtuse angle | [ii] 240° |
[c] Right angle | [iii] 30° |
[d] Reflex angle | [iv] 120° |
How many lines of symmetry does the figure have?
Some statements are given about lines of symmetry.
(a) Equilateral triangle has 3 lines of symmetry.
(b) Circle has 2 lines of symmetry.
(c) An isosceles triangle has two lines of symmetry.
(d) A rectangle has two lines of symmetry.
(e) Letter A has one line of symmetry.
Which of the following option correctly describes all the above?
Which of the following statements is false?
In a quadrilateral ABCD, a line segment BD is a diagonal such that AB=CD and ∠ABD=∠CDB. Are the triangles ABD and CDB congruent? If so, by what rule?
A right-angled triangle has a hypotenuse of 13 cm and one leg of 5 cm. A second right-angled triangle is similar to the first, and its hypotenuse is 39 cm. What is the area of the second triangle?
The length of each of two tangents drawn from an external point to a circle is 10 cm. What is the approximate distance from the external point to the center of the circle, if the radius is 6 cm?
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