State the a)Converse and b) Inverse of eàch conditional and identify if the converse is true or false .
1. Obtuse angles have measures more than 90°.
2. Vertical angles are congruent.
3. If an angle measures 90° , then it is a right angle.
4. All rectangles are quadrilaterals .
1. Obtuse angles have measures more than 90°.
2. Vertical angles are congruent.
3. If an angle measures 90° , then it is a right angle.
4. All rectangles are quadrilaterals .
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Answer:
1. true
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees. However, A reflex angle measures more than 180 degrees but less than 360 degrees.
2. true
Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex. ... Two angles are said to be complementary when the sum of the two angles is 90°. Two angles are said to be supplementary when the sum of the two angles is 180°.
3. true
An angle is a right angle if and only if it measures 90 degrees. 1) Conditional If an angle is a right angle, then it measures 90 degrees. 2) Converse If an angle measures 90 degrees, then it is a right angle.
4. true
A quadrilateral is any polygon with four sides. A rectangle, by definition, is a polygon with four sides and four right angles. Every rectangle is a quadrilateral because all rectangles must have four sides, which is the definition of a quadrilateral.
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