2 And 3 Dimensional Figures

Question 0

What is an acute angle?

Answer 0

Angle that measures less than 90*

Question 1

What is the common endpoint in an angle called?

Answer 1

The vertex

Question 2

What are complementary angles?

Answer 2

2 angles whose sum is 90*

Question 3

What is are supplementary angles?

Answer 3

2 angles whose sum is 180*

Question 4

What are vertical angles?

Answer 4

They are formed when two lines intersect. The angles opposite each other are vertical angles and therefore congruent

Question 5

What tools are needed to construct simple, yet accurate geometric figures by hand?

Answer 5

Compass and a straight edge

Question 6

What are the two ways to classify a triangle?

Answer 6

By its congruent sides or angles

Question 7

What are the three classifications of triangles based on congruent sides?

Answer 7

Scalene: no sides congruent
Isosceles: two sides are congruent (legs) and third side is the base
Equilateral: all sides are equal

Question 8

What are the three classifications of triangles based on congruent angles?

Answer 8

Acute: all angles are less than 90*
Right: one right angle
Obtuse: one angle over 180*

Question 9

What is a regular polygon?

Answer 9

Polygon that is equilateral and equiangular

Question 10

What is the sum of all pairs of interior and exterior angles of polygons?

Answer 10

180*. They are supplementary

Question 11

Describe the transformation of translation.

Answer 11

A figure undergoes a translation when it slides a certain distance in a certain direction. The translated figure is called the image if the original figure.

Question 12

Describe the transformation of reflection?

Answer 12

Produces mirror image of original figure by flipping across a line.

Question 13

Bilateral symmetry

Answer 13

A figure can be divided in half by a line of symmetry so that both sides are mirror images of each other

Question 14

Describe the transformation of rotation

Answer 14

Image rotates around a point

Question 15

Rotational symmetry

Answer 15

A figure can be rotated less than 360* and the object appears unchanged, ie an equilateral triangle

Question 16

What is a polyhedron?

Answer 16

A three dimensional solid where each face is a polygon. Prisms, cubes, pyramids

Question 17

What are the corners of polyhedrons called?

Answer 17

Vertices

Question 18

What are the parts of a prism?

Answer 18

The congruent faces are called bases the other faces are parallelograms

Question 19

What is the parallel axiom?

Answer 19

If two lines are intersected by a third so that the sum of the interior angles on the same side is 180*, than the lines are parallel.

If less the sum of interior angles is less than 180*, than the lines are not parallel and will intersect on the interior side

Question 20

Side-angle-side (SAS) triangle congruence theorem

Answer 20

If two sides and the angle in between are congruent, than the triangles are congruent

Question 21

Angle-side-angle (ASA) triangle congruence Theorem

Answer 21

If two angles and the side in between are congruent, than the triangles are congruent

Question 22

Angle-angle (AA) congruence theorem

Answer 22

If two angles in one triangle are congruent to the same angles in another triangle, than they are similar

Question 23

Isosceles Triangle Theorem

Answer 23

If triangle is iscosceles, than angles opposite congruent sides are congruent

Question 24

Converse of the Iscosceles triangle theorem

Answer 24

If two angles of a triangle are congruent, than the triangle is Iscosceles and the opposite sides are congruent as well

Question 25

What is a proof?

Answer 25

Sequence of statements, each justified by a postulate or theorem, that demonstrates a statement to be true.