Unit 4

Question 1

The Third Angles Theorem states that if two angles of one triangle are congruent to two angles of a second triangle, then the third angle of the first triangle will also be congruent to the _____ angle of the second triangle.

Answer 1

Third

Question 2

Which theorem or corollary could be used to prove the conjecture?

Conjecture: m(1= m(2+ (M3

Answer 2

Exterior angle theorem

Question 3

A corollary of the Triangle Sum Theorem states that a triangle can contain no more than one _____ angle or obtuse angle.

Answer 3

Right

Question 4

A segment that joins any two nonadjacent vertices of a polygon is a(n) _____.

Answer 4

Diagonal of a polygon

Question 5

A statement whose proof can be deduced directly from a previous theorem is a(n) _____.

Answer 5

Corollary

Question 6

A(n) _____ is any side of a polygon that shares a side with only one angle of a pair of angles.

Answer 6

nonincluded side

Question 7

A polygon that is equiangular but not equilateral, or equilateral but not equiangular, or neither equiangular nor equilateral is a(n) _____.

Answer 7

irregular polygon

Question 8

_____ are polygons in which their corresponding angles and sides are congruent.

Answer 8

Congruent Polygons

Question 9

A polygon in which any of its diagonals contain points in the exterior of the polygon is a(n) _____.

Answer 9

Concave polygon

Question 10

Two angles are congruent, therefore the sides opposite those angles are congruent.

Answer 10

Converse to the Isosceles Triangle Theorem

Question 11

_____ sides or angles are in the same relative position on two different polygons that have the same number of sides and angles.

Answer 11

Corresponding

Question 12

A polygon that is both equiangular and equilateral is a(n) _____.

Answer 12

regular polygon

Question 13

Whats the formula from the interior polygon

Answer 13

(N-2)180

Question 14

All three angles are congruent, therefore all three angles are congruent.

Answer 14

Corollary to the Converse of the Isosceles Triangle Theorem

Question 15

A(n) _____ is an angle formed by the intersection of two adjacent sides of a polygon.

Answer 15

Included angle

Question 16

An interior angle of a polygon that is not adjacent to a particular exterior angle is a(n) _____.

Answer 16

Remote interior angle

Question 17

A segment that joins any two nonadjacent vertices of a polygon is a(n) _____.

Answer 17

Diagonal of a polygon

Question 18

A polygon in which none of its diagonals contain points in the exterior of the polygon is a(n) _____.

Answer 18

convex polygon

Question 19

A triangle with at least two congruent sides is a(n) _____.

Answer 19

Isosceles triangle

Question 20

Two sides are congruent, therefore, the angles opposite those sides are congruent.

Answer 20

Isosceles Triangle Theorem

Question 21

All three sides are congruent, therefore all three angles are congruent.

Answer 21

Corollary to the Isosceles Triangle Theorem

Question 22

The triangles are congruent, therefore their corresponding parts are congruent.

Answer 22

CPCTC

Question 23

Any side of a polygon that shares a side with only one angle of a pair of angles is a(n) _____ side.

Answer 23

Nonincluded

Question 24

The _____ of a right triangle is the side opposite the right angle.

Answer 24

Hypotenuse

Question 25

A special kind of triangle with no congruent sides.

Answer 25

scalene

Question 26

The Polygon Exterior Angle sum Theorem states that the sum of the measures of the exterior angles, one angle at each vertex, of a convex polygon is _____.

Answer 26

360