Explore Midpoint, Distance, and Congruence

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

What is a congruence statement?

Back

A congruence statement indicates that two segments or angles are congruent, meaning they have the same length or measure.

Front

If point M is the midpoint of segment AB, how do you find AM if A is at (2, 3) and B is at (8, 7)?

Back

AM = 37 (using the midpoint formula).

Front

How do you find the distance between two points A(2, 3) and B(8, 7)?

Back

Front

What is the distance between points (1, 2) and (4, 6)?

Back

Distance = 5.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

What is the formula for finding the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

Front

If two angles are congruent, what can be said about their measures?

Back

Their measures are equal.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

Front

How do you express that segment PS is congruent to segment SQ?

Back