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by BlastRoom
Practice rewriting conditional statements and judging related forms.
#geometry
40 questions
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Conditional: If a polygon is a square, then it is a rectangle. Which statement is the converse?
Conditional: If two angles are vertical angles, then they are congruent. Which statement is the inverse?
Conditional: If a triangle is equilateral, then it is isosceles. Which statement is the contrapositive?
Statement: If points A, B, and C are collinear, then they lie on the same line. Which is the converse?
Conditional: If two lines are perpendicular, then they intersect. Which statement is the inverse?
Conditional: If a quadrilateral is a parallelogram, then its opposite sides are parallel. Which is the contrapositive?
Conditional: If an angle measures 90 degrees, then it is a right angle. Which statement is the converse?
Conditional: If two segments are congruent, then they have equal lengths. Which statement is the inverse?
Conditional: If a figure is a circle, then all points on it are the same distance from its center. Which is the contrapositive?
Conditional: If a quadrilateral is a rhombus, then all four sides are congruent. Which is the converse?
Conditional: If two angles form a linear pair, then they are supplementary. Which statement is the inverse?
Conditional: If a point is the midpoint of a segment, then it divides the segment into two congruent segments. Which is the contrapositive?
Conditional: If a polygon is regular, then all its sides are congruent. Which statement is the converse?
Conditional: If two lines are parallel, then they do not intersect. Which statement is the inverse?
Conditional: If a triangle is scalene, then no two sides are congruent. Which statement is the contrapositive?
Conditional: If two polygons are congruent, then their corresponding sides are congruent. Which is the converse?
Conditional: If a triangle has three congruent sides, then it is equilateral. Converse: If a triangle is equilateral, then it has three congruent sides. Which biconditional combines them?
Conditional: If an angle is acute, then its measure is less than 90 degrees. Converse: If an angle measures less than 90 degrees, then it is acute. Which biconditional is correct?
Conditional: If a quadrilateral is a square, then it is a rectangle. Converse: If a quadrilateral is a rectangle, then it is a square. Which judgment is correct?
Conditional: If two angles are complementary, then their measures add to 90 degrees. Converse: If two angle measures add to 90 degrees, then the angles are complementary. Which biconditional combines them?
Conditional: If a point lies on an angle bisector, then it is equidistant from the sides of the angle. Converse: If a point is equidistant from the sides, then it lies on the angle bisector. Which biconditional fits?
Conditional: If a quadrilateral is a kite, then it has two pairs of adjacent congruent sides. Converse: If a quadrilateral has two pairs of adjacent congruent sides, then it is a kite. Which statement is the biconditional?
Conditional: If a figure is a rectangle, then it has four right angles. Converse: If a figure has four right angles, then it is a rectangle. Which biconditional is valid for quadrilaterals?
Conditional: If a polygon is a triangle, then it has three sides. Converse: If a polygon has three sides, then it is a triangle. Which biconditional combines them?
If a quadrilateral is a rectangle, then its diagonals are congruent. Is the converse true?
If a whole number is divisible by 6, then it is divisible by 3. Is the converse true?
If two angles are congruent, then they have equal measures. Is the converse true?
If a number is greater than 10, then it is greater than 5. Is the inverse true?
If a triangle is isosceles, then it has at least two congruent sides. Is the converse true?
If a polygon is a pentagon, then it has five sides. Is the contrapositive true?
If two lines are perpendicular, then they intersect. Is the converse true?
If a quadrilateral is a square, then it has four congruent sides. Is the inverse true?
Which statement is logically equivalent to: If a quadrilateral is a square, then it has four congruent sides?
Identify the form logically equivalent to: If two angles are vertical angles, then they are congruent.
Which statement must have the same truth value as: If a triangle is equilateral, then it is equiangular?
Find the logically equivalent statement: If a point is the center of a circle, then it is equidistant from all points on the circle.
Which statement is equivalent to: If two segments are congruent, then they have equal lengths?
Choose the statement logically equivalent to: If a polygon is regular, then all its angles are congruent.
Which statement has the same truth value as: If two lines are parallel, then they are coplanar?
Identify the logically equivalent form of: If a figure is a cube, then it has six square faces.
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Properties of Equality in Algebraic Proof
40 questions
