Question

name: bedlique boudt september 2, 2025 score: _ inductive reasoning and conditional statements part a. read each conditional statement below. then identify the hypothesis and the conclusion. write them in the spaces provided. part a: identify hypothesis and conclusion 1. if a figure is a square, then it has four right angles. hypothesis: _ conclusion: _ 2. if two angles are supplementary, then their measures add up to 180 degrees. hypothesis: _ conclusion: _ 3. if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. hypothesis: _ conclusion: _ 4. if an angle measures more than 90 degrees, then it is an obtuse angle. hypothesis: _ conclusion: _ 5. if a triangle has two congruent sides, then it is isosceles. hypothesis: _ conclusion: _

Explanation:

In a conditional statement of the form "If p, then q", p is the hypothesis and q is the conclusion.

1. Hypothesis: A figure is a square. Conclusion: It has four right - angles.
2. Hypothesis: Two angles are supplementary. Conclusion: Their measures add up to 180 degrees.
3. Hypothesis: A point is on the perpendicular bisector of a segment. Conclusion: It is equidistant from the endpoints of the segment.
4. Hypothesis: An angle measures more than 90 degrees. Conclusion: It is an obtuse angle.
5. Hypothesis: A triangle has two congruent sides. Conclusion: It is isosceles.

Answer:

1. Hypothesis: A figure is a square. Conclusion: It has four right - angles.
2. Hypothesis: Two angles are supplementary. Conclusion: Their measures add up to 180 degrees.
3. Hypothesis: A point is on the perpendicular bisector of a segment. Conclusion: It is equidistant from the endpoints of the segment.
4. Hypothesis: An angle measures more than 90 degrees. Conclusion: It is an obtuse angle.
5. Hypothesis: A triangle has two congruent sides. Conclusion: It is isosceles.