Question

4. Прямая AB разбивает плоскость на две полуплоскости. Из точек А и В в разные полуплоскости проведены равные от- резки AD и BC, причем угол BAD = углу ABC. Какие из высказываний верные? a) треугольник CAD = треугольник BDA; б) угол DBA = угол CAB; в)угол BAD = угол BAC; г) угол ADB = угол BCA. ​

Answer 1

Правильный ответ В и Г , если нудно рисунок, прикреплю в коммы

Answer 2

Given Information:

- There is a line segment AB that divides a plane into two half-planes. - Points A and B are in different half-planes. - Equal line segments AD and BC are drawn from points A and B to the respective half-planes. - The angle BAD is equal to the angle ABC.

Statements to Evaluate:

a) Triangle CAD is congruent to triangle BDA. b) Angle DBA is equal to angle CAB. c) Angle BAD is equal to angle BAC. d) Angle ADB is equal to angle BCA.

Evaluation:

To evaluate the given statements, let's analyze the information provided.

Statement a) Triangle CAD is congruent to triangle BDA. - There is no direct information available to determine the congruence of these triangles. Therefore, we cannot conclude that triangle CAD is congruent to triangle BDA.

Statement b) Angle DBA is equal to angle CAB. - Since the angle BAD is equal to the angle ABC, and the angles opposite the equal sides of a triangle are equal, we can conclude that angle DBA is equal to angle CAB.

Statement c) Angle BAD is equal to angle BAC. - The given information states that the angle BAD is equal to the angle ABC, not BAC. Therefore, we cannot conclude that angle BAD is equal to angle BAC.

Statement d) Angle ADB is equal to angle BCA. - There is no direct information available to determine the equality of these angles. Therefore, we cannot conclude that angle ADB is equal to angle BCA.

Conclusion:

Based on the given information, the correct statements are: - Statement b) Angle DBA is equal to angle CAB.

The other statements cannot be determined based on the given information.