True or False? Flashcards
(26 cards)
Every rhombus is a square.
False. Every square is a rhombus though.
The complement of an acute angle is another acute angle.
True. Remember, complementary means the two angles add up to 90 degrees.
Any point on the perpendicular bisector of a segment is equally distant from the two endpoints of the segment.
True
The centroid of a triangle is the point of concurrency of the three medians in the triangle.
True. Remember: All of my centaurs probably believe circuses are bad inside.
The midsegment of a trapezoid is equal in length to the average of the two base lengths.
True
The measure of each exterior angle of a regular octagon is 45 degrees.
True. Remember: 360/8
In a triangle, the angle with the least measure is opposite the longest side.
False. The angle with the least measure is opposite the SHORTEST side.
Two shortcuts for showing two triangles are congruent are ASA and SSA.
False. The triangle congruence shortcuts are SSS, SAS, ASA, and SAA (or AAS).
The diagonals of a kite are perpendicular bisectors of each other.
False. The diagonals are perpendicular, but only one of the diagonals (the one connecting the non-vertex angles) is bisected.
The angle bisector in a triangle bisects the opposite side.
False. The angle bisector only bisects the angle.
Any point on the angle bisector of an angle is equally distant from the two sides of the angle.
True
If point A has coordinates (0, 3) and point B has coordinates (8, -5), then the midpoint of segment AB is found at (4, 4).
False. The midpoint is found by finding the average of the x values followed by the average of the y values. So for x: (0 + 8)/2 = 4 and for y (3 + -5)/2 = -1. So the midpoint is (4, -1).
Given two sides and an included angle, exactly one triangle can be constructed.
True. SAS is a triangle congruence shortcut, so only one triangle can be constructed.
The sum of the measures of any two consecutive angles of a parallelogram is 180 degrees.
True. All consecutive sides of a parallelogram are supplementary.
If the diagonals of a quadrilateral are perpendicular, then the quadrilateral must be a square.
False. It could also be a rhombus or kite.
If the diagonals of a quadrilateral are congruent, then the quadrilateral must be a rectangle or square.
False. It could also be an isosceles trapezoid.
Making a conjecture from your observations is called deductive reasoning.
False. Making a conjecture from your observations is INDUCTIVE reasoning. Deductive reasoning is reaching a conclusion based on facts - like doing a proof!
In a linear pair of angles, one of the angles must be obtuse.
False. You can have a linear pair of angles where each angle is 90 degrees.
A trapezoid has exactly one pair of congruent sides.
False. A trapezoid has exactly one pair of PARALLEL sides.
A scalene triangle has no sides of the same length.
True
A square is both a rhombus and a rectangle.
True. A square is considered a rhombus, a rectangle, and a parallelogram.
Angle ABC has vertex C.
False. The vertex angle is in the middle, so angle B.
If two lines are cut by a transversal to form a pair of congruent corresponding angles, then the lines are parallel.
True.
When you construct a figure, you use only a compass and protractor.
False. You use a compass and STRAIGHT EDGE.
