Geometry Semester 1 Practice Final H

These flashcards cover basic concepts and important definitions related to geometry, including angle measures, triangle properties, and congruency criteria.

What is the formula for the measure of angle DIJ if mZDIJ = 15x and mZHIJ = 164°?

mZDIJ = 15x.

What does 'congruent triangles' mean?

Triangles that have the same size and shape.

How do you calculate the midpoint of a line segment with endpoints (10,-5) and (-1,6)?

Midpoint = ((x1+x2)/2, (y1+y2)/2).

What is the triangle classification for a triangle with angles of 50°, 60°, and 70°?

Acute triangle.

Define 'linear pair' in the context of angles.

Two adjacent angles that form a straight line.

What is the sum of the interior angles of a triangle?

180 degrees.

What are corresponding angles?

Angles in the same relative position at each intersection where a straight line crosses two others.

What is the relationship between the sides of a triangle and its angles?

The longest side is opposite the largest angle.

How do you determine if a set of three lengths can form a triangle?

The sum of the lengths of any two sides must be greater than the length of the remaining side.

What is the formula for the area of a triangle?

Area = (1/2) * base * height.

How do you find the exterior angle of a polygon?

An exterior angle is formed by one side of a polygon and the extension of an adjacent side.

What is an angle bisector?

A line that divides an angle into two equal parts.

Define 'isosceles triangle'.

A triangle that has at least two sides of equal length.

What does the abbreviation ASA stand for in triangle congruency?

Angle-Side-Angle.

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Distance = √((x2-x1)² + (y2-y1)²).