Geometry Geometric Constructions Quiz: 10 Questions with Explanations

A more than half of ABB exactly half of ABC less than half of ABD equal to AB only

Arcs from A and B only cross when the radius is more than half the segment.

A A rectangleB A trapezoidC A rhombusD A kite with unequal sides

All four sides equal the compass radius, so APBQ is a rhombus. Its diagonals AB and PQ are perpendicular bisectors of each other.

A RightB EquilateralC ScaleneD Isosceles but not equilateral

AC and BC both equal the radius AB, so all three sides are equal.

A 9B 18C 4.5D 9 times the square root of 3

The side of a regular hexagon equals the radius of its circumscribed circle.

A 70 degreesB 140 degreesC 20 degreesD 35 degrees

A bisector splits the angle into two equal halves: 70 / 2 = 35.

A SSSB ASAC SASD AAA

VP = VQ, PR = QR and VR is shared, so the triangles are congruent by SSS.

A 100B 50C 25D 10

The diagonal is 10, so the side squared is 100 / 2 = 50. The value 100 is the diagonal squared.

A Bisect a right angleB Copy a 15 degree angleC Bisect a 60 degree angle from an equilateral triangleD Double a 45 degree angle

An equilateral triangle gives 60 degrees, and bisecting it gives 30. Bisecting a right angle gives 45 degrees.

A 34B 17C 8.5D Cannot be found

Every point on the perpendicular bisector is equidistant from A and B.

A The lines are perpendicularB The lines are the sameC The transversal is parallelD The two lines are parallel

Congruent corresponding angles imply parallel lines (converse).