Geometry Chapter 6 Practice Test

Questions and Answers

The measure of an angle of a triangle is greater than the measure of either remote ___ angle.

exterior, interior

If one side of a triangle is __ than a second side, then the _ opposite the first side is larger than the angle opposite the second side.

larger, angle

If one angle of a triangle is than a second angle, then the __ opposite the first angle is larger than the side opposite the second angle.

greater, side

The sum of the lengths of any two of a _ is greater than the length of the third side.

sides, triangle Signup and view all the answers

If two sides of one ______ are congruent to two sides of another _ BUT the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is _______ than the third side of the second triangle.

triangle, triangle, greater Signup and view all the answers

If two sides of one triangle are to two sides of another triangle, BUT the third side of the first is _ than the third side of the second, then the included angle of the first is larger than the included angle of the second triangle.

congruent, larger Signup and view all the answers

What is the inverse in logical terms?

If not p, then not q Signup and view all the answers

What is the converse in logical terms?

If q, then p Signup and view all the answers

What is the conditional in logical terms?

if p, then q Signup and view all the answers

What is the contrapositive in logical terms?

If not q, then not p Signup and view all the answers

Study Notes

Exterior Angle Inequality Theorem

An exterior angle of a triangle is greater than either of the remote interior angles.

Theorem 6-2

If one side of a triangle is larger than another side, the angle opposite the larger side is also larger than the angle opposite the smaller side.

Theorem 6-3

If one angle in a triangle is greater than another angle, the side opposite the greater angle is larger than the side opposite the smaller angle.

Theorem 6-4

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

SAS Inequality Theorem

If two sides of one triangle are congruent to two sides of another triangle and the included angle in the first triangle is larger, then the third side of the first triangle is greater than that of the second triangle.

SSS Inequality Theorem

If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is larger, then the included angle opposite the larger side in the first triangle is also larger.

Logical Statements

Inverse: If not p, then not q.
Converse: If q, then p.
Conditional: If p, then q.
Contrapositive: If not q, then not p.

Description

Test your knowledge of Geometry concepts with our Chapter 6 Practice Test flashcards. This quiz covers essential theorems and properties, including the Exterior Angle Inequality Theorem. Perfect for mastering triangle properties and their applications.