Advertisements
Advertisements
Question
If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
In ΔABC and ΔPQR,
∠B = ∠Q = 90°
∠C = ∠R ...[Given]
⇒ ∠A = ∠P
Now, in ΔABC and ΔPQR,
∠A = ∠P
AC = PR
∠C = ∠R
By ASA congruence criterian,
ΔABC ≅ ΔPQR
APPEARS IN
RELATED QUESTIONS
In the given figure, AC ≡ AD and ∠CBD ≡ ∠DEC. Prove that ∆BCF ≡ ∆EDF.
In the figure, ∠TMA ≡∠IAM and ∠TAM ≡ ∠IMA. P is the midpoint of MI and N is the midpoint of AI. Prove that ΔPIN ~ ΔATM
In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that AB = AD
In the following figure, Δ ______ ≅ ΔPQR.
In the following figure, ∆ARO ≅ ∆ ______.
AAS congruence criterion is same as ASA congruence criterion.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
In the following figure, ∠1 = ∠2 and ∠3 = ∠4.
- Is ∆ADC ≅ ∆ABC? Why ?
- Show that AD = AB and CD = CB.
Observe the given figure and state the three pairs of equal parts in triangles ABC and DBC.
- Is ∆ABC ≅ ∆DCB? Why?
- Is AB = DC? Why?
- Is AC = DB? Why?
