2 A triangle with sides 7 cm, 8 cm, and 15 cm: A Cannot be constructed B Can be constructed with a right angle C Can be constructed as acute triangle D Can be constructed as obtuse triangle
3 What is the perpendicular bisector of a segment? A A line perpendicular to the segment at its midpoint B A line parallel to the segment through its midpoint C A line that bisects the segment at any angle D A line perpendicular to the segment at any point
4 In an isosceles triangle, the median from the vertex angle to the base is also: A Altitude and angle bisector B Only altitude C Only angle bisector D Neither altitude nor angle bisector
5 Which of the following conditions is sufficient to construct a unique triangle? A Three sides (SSS) B Two angles and a non-included side C Two sides and a non-included angle D Three angles
6 What is the first step in constructing a triangle when given three sides? A Draw the longest side as the base B Draw the shortest side as the base C Draw any side as the base D Draw an angle first
7 In an equilateral triangle, the altitude and median from the same vertex are: A The same line B Perpendicular lines C Parallel lines D Different lines
8 A median of a triangle divides the triangle into: A Two equal areas B Two congruent triangles C Two isosceles triangles D Two right triangles
9 In an isosceles triangle, the median from the vertex angle to the base is also: A Altitude and angle bisector B Only altitude C Only angle bisector D Neither altitude nor angle bisector
10 How do you construct the median of a triangle? A Join vertex to midpoint of opposite side B Draw perpendicular from vertex to opposite side C Bisect the angle at the vertex D Join midpoints of two sides
11 Which triangle construction criterion uses two angles and the included side? A ASA B SAS C SSS D AAS
13 What is the altitude of a triangle in an obtuse triangle from an acute vertex? A Falls outside the triangle B Falls inside the triangle C Falls on the opposite side D Coincides with a side
14 The centroid divides each median in the ratio: A 2:1 from the vertex B 1:1 C 3:1 from the vertex D 1:2 from the vertex
16 What is the circumcenter of a right triangle? A The midpoint of the hypotenuse B The right-angle vertex C Inside the triangle D Outside the triangle
17 Which of the following is used to draw the perpendicular bisector of a line segment? A Compass arcs from both endpoints B Ruler alone C Protractor alone D Set square alone
18 The perpendicular bisectors of the sides of a triangle always meet at: A A point that is equidistant from the vertices B A point inside the triangle only C A point on the triangle only D A point outside the triangle only
19 What is the incenter of a triangle? A Point of intersection of angle bisectors B Point of intersection of medians C Point of intersection of altitudes D Point of intersection of perpendicular bisectors
20 In a scalene triangle, the perpendicular bisectors: A Meet at a point inside or outside B Always meet inside C Never meet D Always meet on the triangle