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