Unit D

Question 0

Theorem 4-1

Answer 0

If 2 corresponding angles of a triangle are congruent, then the third angles are congruent

Question 1

Congruent Polygons

Answer 1

• congruent corresponding sides and angles

- list in corresponding order

Question 2

Triangle

Answer 2

• formed by 3 non-collinear points connected by segments
• each pair of segments of a triangle form an angle
• vertex of each angle is a vertex of the triangle
• named by vertices

Question 3

Equiangular Triangle

Answer 3

• all angles are congruent

Question 4

Acute Triangle

Answer 4

• all angles are between 0º and 90º

Question 5

Right Triangle

Answer 5

• 1 angle must be 90º

Question 6

Obtuse Triangle

Answer 6

• 1 angle is between 90º and 180º

Question 7

Equilateral Triangle

Answer 7

• all sides are congruent

Question 8

Isosceles Triangle

Answer 8

• 2 sides are congruent (legs)

Question 9

Scalene Triangle

Answer 9

• no sides are congruent

Question 10

Triangle Angle-Sum Theorem

Answer 10

The sum of the measures of a triangle add up to 180º

Question 11

Triangle Exterior Angle Theorem

Answer 11

The measure of the exterior angle is equal to the sum of the 2 remote interior angles

Question 12

Isosceles Triangle Theorem

Answer 12

If the 2 legs are congruent, then the base angles are congruent

Question 13

Converse of Isosceles Triangle Theorem

Answer 13

If the base angles are congruent, then the sides are congruent

Question 14

Vertex Angle Bisector Theorem

Answer 14

The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base

Question 15

Corollary to Theorem 4-4

Answer 15

If the triangle is equilateral, then it is equiangular

Question 16

Corollary to Theorem 4-5

Answer 16

If the triangle is equiangular, then it is equilateral

Question 17

SSS

Answer 17

If 3 sides of 1 triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.

Question 18

SAS

Answer 18

If 2 sides and 1 included angle of 1 triangle are congruent to the corresponding included angle and sides of another triangle, then the triangles are congruent.

Question 19

ASA

Answer 19

If 2 angles and 1 included side of 1 triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent.

Question 20

AAS

Answer 20

If 2 angles and 1 non-included side of 1 triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent.

Question 21

HL

Answer 21

If the hypotenuse and a leg of 1 right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.

Question 22

CPCTC

Answer 22

Corresponding parts of congruent triangles are congruent

Question 23

Concurrent

Answer 23

When 3 or more lines intersect in 1 point

Question 24

Point of Concurrency

Answer 24

Point at which 3 lines intersect

Question 25

Perpendicular Bisector Theorem

Answer 25

The perpendicular bisector of the sides of the triangle are concurrent at a point equidistant from the vertices

Question 26

Circumcenter

Answer 26

The point of concurrency of the perpendicular bisector of a triangle

Question 27

Circumscribed

Answer 27

The circle about the triangle

Question 30

Angle Bisector Theorem

Answer 30

The bisectors of the angles in a triangle are equidistance from the sides

Question 31

Incenter

Answer 31

The point of concurrency of the angle bisectors of a triangle

Question 32

Inscribed

Answer 32

The circle in a triangle

Question 33

Median

Answer 33

A segment whose endpoints are a vertex and midpoint of the opposite side

Question 34

Median Theorem

Answer 34

The medians of a triangle are concurrent at a point that is 2/3 the distance from each vertex to midpoint of the opposite side

Question 35

Centroid

Answer 35

The point of concurrency of the medians

Question 36

Altitude

Answer 36

The perpendicular segment from the vertex to the line containing the opposite side

Question 37

Orthocenter

Answer 37

Where the lines that contain the altitudes of a triangle are congruent

Question 38

Altitude Theorem

Answer 38

The lines that contain the altitudes are concurrent

Question 39

Midsegments

Answer 39

A segment that connects the midpoints of 2 sides

Question 40

Triangle Midsegment Theorem

Answer 40

If a segment joins the 2 sides of a triangle, then the segment is parallel to the third side and is half its length

Question 41

Largest Angle and Side Theorem

Answer 41

If 2 sides of a triangle are not congruent, then the largest angle lies opposite the longest side - scalene not isosceles

Question 42

Largest Side and Angle Theorem

Answer 42

If 2 angles of a triangle are not congruent, then the largest side lies opposite the largest angle - scalene not isosceles

Question 43

Triangle Inequality Theorem

Answer 43

The sum of 2 sides of a triangle is greater than the measure of the 3rd side

Question 47

Perpendicular Bisector Theorem

Answer 47

If a point is on the perpendicular bisector of a segment, then it is equidistance from the endpoints of the segments

Question 48

Converse of Perpendicular Bisector Theorem

Answer 48

If a point is equidistance from the endpoints of a line segment, then the point is on a perpendicular bisector of a segment