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Geometry - DECA

Terms

undefined, object
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>
Greater than
<
less than
=
equal to
What makes a rhombus a rhombus?
First 3 make it different from other parallelograms
a. diagonals are perpendicular
b. ALL sides congruent
c. diagonals bisect opposite angles
The following true for all parallelograms
d. diagonals bisect each other
e. two pairs of parallel sides
f. consecutive angles are supplementary
What makes a rectangle a rectangle?
First 2 make it different from other parallelograms
a. diagonals are congruent
b. all angles are congruent (=90 degrees)
The following true for all parallelograms
d. diagonals bisect each other
e. two pairs of parallel sides
f. consecutive angles are supplementary
g. both pairs of opposite sides are congruent
What makes a square a square?
First 4 makes it different from other parallelograms
a. diagonals are perpendicular
b. ALL sides congruent
c. All angles are congruent
d. Diagonals are congruent
e. Diagonals bisect opposite angles
The following true for all parallelograms
f. diagonals bisect each other
g. two pairs of parallel sides
h. consecutive angles are supplementary
What's are the properties of a parallelogram?
a. diagonals bisect each other
b. two pairs of parallel sides
c. consecutive angles are supplementary
d. opposite sides congruent
e. opposite angles congruent
Quadrilateral
Has 4 sides and the sum of all 4 angles is 360 degrees.
Sum of the interior angles of a triangle
180 degrees
Congruent angles
Angles with the same measurement
Acute Triangle
Triangle with 3 angles less than 90 degrees
Right Triangle
Triangle with one 90 degree angle
Obtuse triangle
Triangle with one obtuse angle
Equiangular Triangle
A triangle with 3 angles congruent (each meases 60 degrees)
Type of angles formed when lines intersect.
Vertical angles
What the congruent sides of an isosceles triangle are called.
legs
What the non-congruent side of an isosceles triangle is called.
The base
What do we know about the base angles of an isosceles triangle?
They are congruent and opposite the legs (the congruent sides)
What type of triangle has the following angles?

50°, 100°, 30°
obtuse scalene triangle
What type of triangle has the following angles?

60°, 60°, 60°
Equiangular Equilateral triangle

(Acute equilateral triangle is also acceptable)
What type of triangle has the following angles?

40°, 100°, 40°
Obtuse Isosceles Triangle
What makes a kite a kite?
a. Has 4 sides
b. Diagonals are perpendicular
c. both pairs of adjacent sides are congruent.
d. 1 pair of opposite angles are supplementary.
e. NO parallel sides
What makes a trapezoid a trapezoid?
a. exactly one pair of parallel sides
b. Parallel sides ARE NOT congruent.
c. 2 sets of consecutive angles are supplementary
d. non parallel sides called legs
e. parallel sides called bases
What makes an isosceles trapezoid?
a. everything that makes a trapezoid a trapezoid.
b. diagonals are congruent.
c. Base angles are congruent
d. legs are congruent.
What are the three undefined terms in geometry?
point line and plane
Why are the 3 undefined terms considered undefined?
Because the definitions are circular, it really isn't possilbe to define them without using the words in the definitions.
point
has no size, but can be represented by a dot

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