geometry: chapter 4

Question 0

Postulate 13: SAS postulate

Answer 0

Is two sides and the included angle of one triangle are congruent just two sides in the included angle of another triangle then the triangles are congruent

Question 1

postulate 12: SSS postulate

Answer 1

If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent

Question 2

Postulate 14: Asa Postulate

Answer 2

If two angles and the included side of one triangle are congruent to two angles and included side of another triangle them triangles are congruent

Question 3

Leg

Answer 3

Congruent sides and then isosceles triangle

Question 4

A line and a plane are perpendicular

Answer 4

if and only if they intersect and the line is perpendicular to all lines in the plane that past-due the point of intersection

Question 5

Base

Answer 5

Third side in and isosceles triangle

Question 6

Theorem 4-1: the isosceles triangle theorem

Answer 6

If two sides of the triangle are congruent than the angle opposite the sides are congruent

Question 7

Corollary 1

Answer 7

And equilateral triangle is also equiangular

Question 8

Corollary 2

Answer 8

And equilateral triangle has 3 60° angle

Question 9

Corollary 3

Answer 9

The bisector of the vertex angle of it isosceles triangle is perpendicular to the base at its midpoint

Question 10

Theorem 4-2

Answer 10

If two angles of a triangle are congruent then the side opposite these angles are congruent

Question 11

Corollary 1

Answer 11

And equiangular triangle is also equilateral

Question 12

Theorem 4-3: AAS theorem

Answer 12

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle than the triangles are congruent

Question 13

Theorem 4-4 HL theorem

Answer 13

If the hypotenuse and the leg of one right triangle are congruent to the corresponding parts of another right triangle then the triangles are congruent

Question 14

Median

Answer 14

Of a triangle is a segment from a vertex to the midpoint of the opposite side

Question 15

Altitude

Answer 15

Of a triangle is the perpendicular segment from a vertex to the line that contains the opposite side
In an obtuse triangle two of the altitudes are outside the triangle

Question 16

Perpendicular bisector

Answer 16

Perpendicular to the segment at its midpoint

Question 17

Theorem 4-5

Answer 17

Is the point lies on the perpendicular by sector of the segment in the point is equidistant from the endpoints of the segment

Question 18

Theorem 4-6

Answer 18

As a point is equidistant from the endpoints of a segment than the point lies on the perpendicular by sector of the segment

Question 19

Theorem 4-7

Answer 19

As a point lies on the bisector of an angle than the point is equidistant from the sides of the angle

Question 20

Theorem 4-8

Answer 20

If the point is equidistant from sides of an angle than the point lies on the bisector of the angle