Geometry End of the Year Review

Front

Write the standard equation of the circle with center (4, -3) and radius 4 units.

Back

(x - 4)² + (y + 3)² = 16

Front

Find the distance between the points (2, 3) and (5, 7).

Back

5 units

Front

Two sides of a triangle have lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

Back

5 < x < 29

Front

Find the midpoint of the segment with endpoints (-4, 4) and (5, -2).

Back

(1/2, 1)

Front

Perpendicular lines intersect to form a 90° angle. True or False?

Back

True

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

What is the Pythagorean theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

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

Back

180°

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.