Advertisements
Advertisements
प्रश्न
In the given figure, the measure of ∠B'A'C' is
पर्याय
50°
60°
70°
80°
Advertisements
उत्तर
We have to find B’A’C’
ince triangles are congruent
So ∠A = ∠A
3X = 2X + 20
X = 20
Now in A’B’C’
∠A + ∠B + C = 180° (By property of triangle)
60° + 60° + ∠C = 180°
∠C = 60°
∠A = 2X + 20
`= 2 xx 20° + 20°`
= 40° + 20
= 60°
Hence (b) B’A’C’ = 60°.
APPEARS IN
संबंधित प्रश्न
In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangles in each pair are congruent.
By ______ test
ΔPRQ ≅ ΔSTU
In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
In the following figure, OA = OC and AB = BC.
Prove that: AD = CD
The following figure shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that:
In a circle with center O. If OM is perpendicular to PQ, prove that PM = QM.
In ΔABC and ΔPQR and, AB = PQ, BC = QR and CB and RQ are extended to X and Y respectively and ∠ABX = ∠PQY. = Prove that ΔABC ≅ ΔPQR.
In the given figure ABCD is a parallelogram, AB is Produced to L and E is a midpoint of BC. Show that:
a. DDCE ≅ DLDE
b. AB = BL
c. DC = `"AL"/(2)`
ΔABC is an isosceles triangle with AB = AC. GB and HC ARE perpendiculars drawn on BC.
Prove that
(i) BG = CH
(ii) AG = AH
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆ABC ≅ ∆LMN
