Question

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Answer 1

Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS

Answer 2

Answer:

As per HL Postulate the triangles are congruent

Step-by-step explanation:

Given: m∠A = m∠C = 90° and  AD = CB

Prove: ΔABD ≅ ΔCDB

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Since angles A and C are right angles, ΔABD and ΔCDB are right triangles

DB is common side, so

• DB ≅ BD
• AD ≅ CB is given
• ∠DAB ≅ ∠ BCD given

As per HL Postulate if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent