The answers are ∠1 = ∠2, AC ≅ AC, Reflexive, and triangle ADC ≅ triangle CBA.
What is congruence in the triangles?
The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
It is given that:
∠D and ∠B are right angles
Or ∠D = ∠B = 90 degress
DC || AB
As we know, congruent triangles are those that are exactly the same size and shape.
Congruent is represented by the symbol ≅
When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
From the figure:
Statements Reasons
1. ∠D and ∠B are right angles Given
∵ DC || AB
2. ∠1 = ∠2
3. AC ≅ AC Reflexive
4. Triangle ADC ≅ triangle CBA
Thus, the answers are ∠1 = ∠2, AC ≅ AC, Reflexive, and triangle ADC ≅ triangle CBA.
Learn more about the congruence in the triangles here:
brainly.com/question/20521780
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