ABEKA PLANE GEOMETRY TEST 4

false

t/f a rhombus is equiangular.

true

t/f a trapezoid has at least one acute angle.

false

t/f the median of a trapezoid bisects the bases of the trapezoid.

false

t/f if a quadrilateral is equilateral, then its a square.

true

t/f a parallelogram is defined as a quadrilateral whose opposite sides are parallel.

true

t/f a diagonal of a parallelogram divides it into two congruent triangles.

false

t/f the diagonals of a trapezoid are equal.

false

t/f if the diagonals of a quadrilateral are equal, the quadrilateral is a rectangle.

true

t/f if one angle of a parallelogram is a right angle, all of the other angles of the parallelogram are right angles also.

true

t/f in parallelogram ABCD if angle A is a right angle, then diagonal AC must be equal to diagonal BD.

false

t/f if unequals are subtracted from equals, the remainders are unequal in the same order.

S

A,S,N: if 2 parallel lines are cut by transversal, the interior angles on the same side of the transversal are ____ equal.

A

A,S,N: the diagonals of a parallelogram ____ bisect each other.

S

A,S,N: if 2 sides of a quadrilateral are parallel, and the other 2 sides are equal, then the quadrilateral is ____ a parallelogram.

A

A,S,N: a quadrilateral, all of whose angles are equal, is ____ a rectangle.

N

A,S,N: the exterior angles at the base of an isosceles triangle are ____ acute.

A

A,S,N: the diagonals of a rectangle are ____ equal.

S

A,S,N: the diagonals of a quadrilateral ____ divide it into four congruent triangles.

A

A,S,N: the diagonals of a rectangle ____ bisect each other.

A

A,S,N: if the sum of 2 angles of a triangle is equal to the third angle, then 2 sides of the triangle are ____ perpendicular to each other.

S

A,S,N: the sum of the interior angles of a polygon is ____ equal to the sum of the exterior angles of the polygon.

B. a rectangle is a square

it is false to state ____.

C. supplementary

Two consecutive angles of a parallelogram are always ____.

B. 2 straight angles

the sum of the exterior angles of a polygon of n sides is

B. Equal

two opposite angles of a parallelogram are always ____

A. centroid

Medians of a triangle meet at a point called the ____

C. concurrent

3 lines that intersect at the same point are called ____

B. incenter

the angle bisectors of a triangle meet at the ____

E. none of these

Each angle of a regular octagon is ____. show your work.

D. altitude

The distance from a vertex of a triangle to the opposite side is the length of a(n) ____.

B. equal

parallel line included between parallel lines are ____.

the vertices

the midpoint of the hypotenuse of a right triangle is equidistant from ____ .

parallel to the 3rd side

a line which joins the midpoints of twi sides of a triangle is (33)?

half of the 3rd side

^^ and equals (34)?

180

if 2 lines are cut by a transversal, making 2 equal alternate interior angles, them the sum of the two interior angles on the same side of the transversal is ____ degrees.

parallel

the median of a trapezoid is ____ to the base of the trapezoid.

60

each angle if an equilateral triangle contains ____ degrees.

isosceles

A trapezoid with nonparallel sides equal is ____.

540

the sum of the angles of a pentagon is ____.

square

a rectangle having 2 adjacent sides equal is the definition of a(n) ____.

median

in a triangle, the line drawn from any vetted to the midpoint of the opposite side is a(n) ____ of the triangle.

1. parallelogram ABCD with E and K on diagonal BD, DE = BK/ given.

2. AB || CD and AD = CB/ the opposite sides of a parallelogram are equal.

3. AB || CD and AD || CB/ def. of a parallelogram.

4. angle ABK = CDE and angle CBK = ADE / when 2 parallel lines are cut by a transversal, the alternate interior angles formed are =.

5. triangle ABK is congruent to triangle CDE and triangle CBK is congruent to triangle ADE/ S.A.S

6. AK = CE and CK = AE/ C.P.C.T.E

7. AKCE is a parallelogram/ if the opposite sides of a quadrilateral are equal, then the figure is a parallelogram.

Given: parallelogram ABCD with E and K on diagonal BD, DE = BK

Prove: AKCE is a parallelogram