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vichka [17]
4 years ago
7

PLEASE HELP!! AOC and BOD are diameters of a circle, centre O. Prove that triangle ABD and triangle DCA are congruent by RHS.

Mathematics
2 answers:
goldfiish [28.3K]4 years ago
4 0
Give the person their brainliest
Alona [7]4 years ago
4 0

Answer

3.7/5

6

Siddharta7

Genius

2.1K answers

230.1K people helped

Step-by-step explanation:

Given,

BAD and ADC are right angles[angles in semicircle is 90]

AD is common to both triangles.

=> ∠BAD = ∠CDA[angles in semicircle is 90°]

=> ∠ABO = ∠DCA[angles in same segment are equal]

∴ ΔABD and ΔDCA are congruent. ----- ASA

(or)

BD = CA[diameters of the circle]

=> ∠BAD = ∠CDA[angles in semicircle is 90°]

AD is common to both triangles.

ΔABD and ΔDCA are congruent triangles. ----- RHS

(or)

BD = CA[diameter of circle]

AD is common.

=> ∠ADB = ∠CAD[base angles of an isosceles triangle are equal]

∴ ΔABD and ΔDCA are congruent triangles. ------ SAS

Hope it helps!

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I hope this helps you


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zubka84 [21]

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3 years ago
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For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?
pickupchik [31]

Answer:

For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?

(F) The graph of g is the result of the graph of h being translated right 14 units.

(G) The graph of g is the result of the graph of h being translated left 14 units.

(H) The graph of g is steeper than the graph of h.

(J) The graph of g is less steep than the graph of h.

Step-by-step explanation:

For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?

(F) The graph of g is the result of the graph of h being translated right 14 units.

(G) The graph of g is the result of the graph of h being translated left 14 units.

(H) The graph of g is steeper than the graph of h.

(J) The graph of g is less steep than the graph of h.

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3 years ago
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