Geometry (Grade 9) Midterm Review (True and False)
All rhombuses are rectangles (T/F)
False
No parallelograms are squares (T/F)
False
Some trapezoids are kites (T/F)
False
The diagonals of a parallelogram must be congruent
False
The sum of the interior angles of a polygon is 360 degrees (T/F)
False
A biconditional is a conditional whose converse is true (T/F)
False,
A deductive argument provides evidence to indicate that a conjecture is likely true (T/F)
False,
A preposition is a declarative statement that is true (T/F)
False,
An altitude is a segment that goes from a vertex of a triangle to the midpoint of the opposite side (T/F)
False,
The perpendicular bisectors of the sides of a triangle intersect at the incenter (T/F)
False,
The set of integers 4, 8, 10 is a Pythagorean triple (T/F)
False,
A parallelogram is a special type of trapezoid (T/F)
False, a parallelogram is a special type of quadrilateral.
A regular polygon is always concave (T/F)
False, a regular polygon is always convex.
A segment bisector always intersects a segment at its endpoint (T/F)
False, a segment bisector intersects a segment at its midpoint.
The SSA combination is a valid test for triangle congruence (T/F)
False, because SSA is not a postulate.
It is possible to bisect a line (T/F)
False, because a line goes on forever.
It is possible to bisect a ray (T/F)
False, because a ray goes on forever.
A reflection is a transformation in which every point of the preimage is moved the same distance in the same direction (T/F)
False, because a reflection moves a preimage to the opposite side that it was on.
It is possible for a triangle to contain two right angles (T/F)
False, because a triangle's interior angles have to equal 180 degrees and that's what two right angles equal.
All acute angles are congruent to each other (T/F)
False, because acute angles are anything less than 90 degrees.
If alternate exterior angles are supplementary, then the lines must be parallel (T/F)
False, because alternate exterior angles are not supplementary they are congruent.
It is possible for an equilateral triangle to be congruent to a right angle (T/F)
False, because an equilateral triangle's angles equal 60 degrees each and 180 degrees all together.
A scalene triangle may be equiangular (T/F)
False, because each side length is different so each angle measure is different.
A ray has two endpoints (T/F)
False, because it is a part of a line that has one end point and extends forever in one direction.
The statement "What is the meaning of life?" should be considered a proposition (T/F)
False, because it is a question and questions are not propositions.
The center of a circle circumscribed around a triangle is called the incenter of the triangle (T/F)
False, because it is the circumcenter.
If two angles are supplementary, then they are congruent (T/F)
False, because not all supplementary angles are congruent. (There are only one pair of supplementary congruent angles: 90 degree angles)
All obtuse angles are congruent (T/F)
False, because obtuse angles are bigger than 90 but less than 180 and have to add up to 180.
A reflex angle is an angle whose measure is between 90 degrees and 180 degrees (T/F)
False, because reflex angles are greater than 90 degrees.
All rectangles are also squares (T/F)
False, because some rectangles are not squares.
Valid inductive prove beyond all ambiguity and doubt that a conjecture is true (T/F)
False, because that is a deductive argument.
The HL combination can be used to prove any two triangles congruent to each other (T/F)
False, because the HL combination can only be used for right triangles.
The longest side of a triangle is across from the smallest angle (T/F)
False, because the longest side is across the largest angle.
Two triangles that have the AAA combination must be congruent (T/F)
False, because there is no such thing as an AAA combination.
It is possible for two vertical angles to be adjacent (T/F)
False, because they are non-adjacent.
If two line segments are congruent, they have the same endpoints (T/F)
False, because they could be parallel or noncoplanar.
Two lines must be either parallel or perpendicular (T/F)
False, because they could be skew, noncoplanar, or intersecting.
It is sometimes important to determine whether two rays are congruent (T/F)
False, because two rays go one forever.
A median always divides a triangle into two congruent triangles (T/F)
False, only in equilateral.
If three lines intersect at one point, one of the lines is a transversal (T/F)
False, only in parallel lines.
The SSS combination can't be applied to right triangles (T/F)
False, the SSS combination can be applied to all triangles.
Perpendicular lines have slopes that are reciprocals of each other (T/F)
False, the slopes of perpendicular lines are opposite reciprocals.
The sides of a 30-60-90 triangle are in a ratio of 1-2-3 (T/F)
False, they are in the ratio 1-radical 2-3.
The vertex angle of isosceles triangles are always congruent (T/F)
False, they can only if they are equiangular.
Two lines that never intersect must be parallel (T/F)
False, they could be skew.
Vertical angles must be supplementary (T/F)
False, they must be congruent.
A converse switches the hypothesis and conclusion of a conditional (T/F)
True
A good definition can be written as a biconditional statement (T/F)
True
A kite has two pairs of consecutive congruent sides (T/F)
True
A quadrilateral is a four-sided polygon (T/F)
True
A regular octagon has 8 central angles (T/F)
True
A regular polygon must be convex (T/F)
True
A segment bisector passes through the midpoint of the segment (T/F)
True
All rhombuses are parallelograms (T/F)
True
All right angles are congruent to each other (T/F)
True
Any comparison that satisfies the Reflexive, Symmetric, or Transitive properties is an equivalence relation (T/F)
True
Consecutive angles of a parallelogram are supplementary (T/F)
True
Corresponding parts of congruent triangles are always congruent
True
Each point on an angle bisector is equidistant from the sides of the angle (T/F)
True
Every triangle must contain at least two acute angles (T/F)
True
If a triangle is equilateral, then it is isosceles (T/F)
True
If two lines intersect, then they intersect at exactly one point (T/F)
True
It is possible for an isosceles triangle and a right triangle to be congruent to each other (T/F)
True
It is possible for the circumcenter of a triangle to be outside the triangle (T/F)
True
It is possible for two parallel lines to be intersected by a transversal so that alternate interior angles are complementary (T/F)
True
The Distance Formula is derived from the Pythagorean Theorem (T/F)
True
The diagonals of a parallelogram bisect each other (T/F)
True
The perimeter of a geometric figure is the distance around the figure (T/F)
True
The sum of three angle measures of a triangle must be 180 degrees (T/F)
True
Through a point not on a line, there is exactly one line parallel to the given line (T/F)
True
Two corresponding angles are congruent if and only if the lines are parallel (T/F)
True
Two figures are congruent if they are the same size and shape (T/F)
True
Two lines that intersect must be in the same plane (T/F)
True
Undefined terms serve as the building blocks of geometry (T/F)
True
