Triangle Midsegment and CPCTC Flashcard

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

If a triangle has midsegment IJ, and the length of the side it is parallel to is 18, what is the length of IJ?

Back

9 (The length of the midsegment is half the length of the side it is parallel to.)

Front

What does CPCTC stand for in geometry?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

Given triangles GTB and HAR are congruent, what can we conclude about their corresponding sides and angles?

Back

The corresponding sides and angles of triangles GTB and HAR are equal.

Front

How do you find the value of a variable in a triangle using midsegments?

Back

Set up an equation based on the relationship between the midsegment and the side it is parallel to, then solve for the variable.

Front

What is the relationship between the lengths of a midsegment and the sides of a triangle?

Back

The length of a midsegment is always half the length of the side it is parallel to.

Front

If the midsegment of triangle MLN is labeled as 2x + 6, and the side it is parallel to is 18, what equation would you set up to find x?

Back

2x + 6 = 18.

Front

What is the significance of the midsegment theorem?

Back

The midsegment theorem states that a midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

Front

If triangle ABC is congruent to triangle DEF, what can we say about angle A and angle D?

Back

Angle A is congruent to angle D.

Front

What is the first step in solving for a variable in a triangle problem involving midsegments?

Back

Identify the relationship between the midsegment and the sides of the triangle.