Problem In the figure, H is the midpoint of side BC of ΔABC. The points I and J are the intersection of the diagonals of square ABDE and square ACGF respectively, that is they are the centers of the square. Prove that IH and HJ are congruent and that angle IHJ is a right angle….

Read more

What is a perpendicular bisector? A perpendicular bisector of a line segment is a line that makes a 90-degree angle (a right angle) at the midpoint of a segment. In the figure, line b is the perpendicular bisector of line segment AB at C. This implies AC=CB and the measure of the angles at C…

Read more

ABCD is a square and G is a point on its diagonal. Obviously, the two colored rectangles have equal area: ab. What about in the figure below? Problem: ACDB is a rectangle. E is a point on the diagonal. Which rectangle has a bigger area? GEIA or FEHD? Answer The diagonal divides a rectangle…

Read more

Problem 1 The figure below shows circle A and rectangle ABCD. The measures of segments are indicated. How long is EB? This problem is not that hard. All you need to see is that AB and AE are radius of Circle A. Also, because ABCD is a rectangle, BD = AC. Now, all you need…

Read more