8.4-8.6

Question 1

ASA Theorem

Answer 1

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

Question 2

AAS Theorem

Answer 2

If two angles and a non-included side of 1 triangle are equal to corresponding angles and side of another triangle, then the triangles are equal.

Question 3

ASS

Answer 3

ASS IZ NOT GOOD

Question 4

SAS Postulate

Answer 4

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

Question 5

SSS Postulate

Answer 5

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

Question 6

angle bisector

Answer 6

a ray that begins in the vertex of an angle & divides the angle into 2 equal parts

Question 7

segment bisector

Answer 7

a ray, line, or segment that divides a segment into two equal parts

Question 8

perpendicular bisector

Answer 8

a line, ray, / seg tht bisects the seg & is perp to it

Question 9

Hypotenuse-Leg Theorem

Answer 9

2 right triangles are equal if the hypot & leg of 1 triangle are equal to the hyp & leg of the other triangle.

Question 10

isosceles triangle

Answer 10

a triangle w/ 2 sides = in measure

Question 11

equilateral triangle

Answer 11

a triangle in which all the sides are equal in measure

Question 12

equiangular triangle

Answer 12

a triangle in which all the angles are equal in measure

Question 13

Isosceles Triangle Theorem

Answer 13

If 2 sides of a triangle of a triangle are = in measure, then the angles opp. those sides r = in msr.

Question 14

Converse of Isosceles Triangle Th

Answer 14

If 2 angles of a triangle are equal in msr, then the sides opp those angles r = in msr

Question 15

Equilateral Triangle Theorem

Answer 15

If a triangle is equilateral, then it’s also equiangular.

Question 16

Converse of Equil Triangle Th

Answer 16

If a triangle is equiangular, then it’s equilateral.

Question 17

Perpendicular Bisector Th

Answer 17

If a point is the same distance from both end points of a segment, then it lies on the perpendicular bisector of the segment.

Question 18

Similar Right Triangle Th

Answer 18

If the altitude is drawn to the hypotenuse of a right triangle, then the 2 triangles formed are similar to each other & the original triangle.

Question 19

geometric mean

Answer 19

If a, b, and x are positive numbers, and a/x = x/b, then x is the geometric mean b/w a and b. The gm is ALWAYS the positive root.

Question 20

Geometric Mean Th

Answer 20

If the alt is drawn to the hypotenuse of a right triangle, then the measure of the altitude is the geometric mean b/w the measures of the parts of the hypotenuse.

Question 21

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

Answer 21

ASA Theorem

Question 22

If two angles and a non-included side of 1 triangle are equal to corresponding angles and side of another triangle, then the triangles are equal.

Answer 22

AAS Theorem

Question 23

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

Answer 23

SAS Postulate

Question 24

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

Answer 24

SSS Postulate

Question 25

2 right triangles are equal if the hypot & leg of 1 triangle are equal to the hyp & leg of the other triangle.

Answer 25

Hypotenuse-Leg Theorem

Question 26

If 2 sides of a triangle of a triangle are = in measure, then the angles opp. those sides r = in msr.

Answer 26

Isosceles Triangle Theorem

Question 27

If 2 angles of a triangle are equal in msr, then the sides opp those angles r = in msr

Answer 27

Converse of Isosceles Triangle Th

Question 28

If a triangle is equilateral, then it’s also equiangular.

Answer 28

Equilateral Triangle Theorem

Question 29

If a triangle is equiangular, then it’s equilateral.

Answer 29

Converse of Equil Triangle Th

Question 30

If a point is the same distance from both end points of a segment, then it lies on the perpendicular bisector of the segment.

Answer 30

Perpendicular Bisector Th

Question 31

If the altitude is drawn to the hypotenuse of a right triangle, then the 2 triangles formed are similar to each other & the original triangle.

Answer 31

Similar Right Triangle Th

Question 32

If the alt is drawn to the hypotenuse of a right triangle, then the measure of the altitude is the geometric mean b/w the measures of the parts of the hypotenuse.

Answer 32

Geometric Mean Th