Chapter 7

What is the name given to the corner points of a triangle?

Which construction tool is essential for drawing arcs of given radius?

In an equilateral triangle all sides are equal. What else is equal?

What is the length of each side when constructing an equilateral triangle of side 4 cm?

Which step directly gives the third vertex in compass construction of a triangle if two sides are given?

What condition must three lengths satisfy to form a triangle?

Which set of lengths cannot form a triangle?

What is the third angle of a triangle if the other two are 50° and 70°?

Which construction uses two angles and the included side?

When drawing the altitude from a vertex, which tool ensures a right angle?

What type of triangle has exactly two equal sides?

Which case describes circles touching at exactly one point during triangle construction?

In SAS construction, what does SAS stand for?

Which inequality must hold for lengths a, b, c to form a triangle?

What is an exterior angle of a triangle?

If two angles of a triangle are 75° and 60°, what is the third?

What is the altitude of a triangle?

Which triangle has all angles acute?

Which construction case leads to no triangle formation?

In the construction of a triangle given two sides and included angle, which step comes first?

Which type of triangle has one right angle?

What is the measure of each angle in an equilateral triangle?

Which pair of angles cannot be adjacent angles of a triangle if their sum ≥ 180°?

What conclusion can be drawn if sum of two given angles is less than 180°?

Which technique validates existence of a triangle without actual construction?

Which figure is obtained by drawing a line through a vertex parallel to the opposite side?

Which pair of given sides and included angle can sometimes fail to construct a triangle?

How many types of triangles are there based on side lengths?

In the context of triangle constructions, SSS stands for?

Which property ensures the sum of interior angles of any triangle is 180°?

What does the construction ‘ASA’ guarantee in triangle formation?

Which triangle classification is based on angle measures only?

Which inequality comparison is unnecessary once the largest side is verified?

What does an obtuse-angled triangle have?

Which method uses paper folding to demonstrate angle sum property?

In triangle ABC, if AB = AC and angle B = angle C, what type is it?

Which construction cannot determine a triangle uniquely?

What is the name for a triangle with all sides of different lengths?

Which relation describes Case 2 where circles do not intersect in side-side construction?

What is the angle between the extension of one side and the adjacent side called?

Which type of triangle construction uses two sides and non-included angle?

What must be true for an equilateral triangle to exist with any given side length?

Which diagrammatic step proves that sum of interior angles equals 180°?

What happens when you attempt to construct a triangle with sides 3 cm, 4 cm, and 8 cm?

Which pair of angles can always form a triangle with some side length?

Which technique checks existence of a triangle by comparing largest side and sum of others?

What is the least value of external angle B that prevents triangle formation with angle A fixed at 40°?

Which practice exercise asks to construct triangle with sides 3 cm, 4 cm, and 5 cm?

Which figure in exercises illustrates alternate interior angles with parallels?

What is proven by constructing full circles in triangle side-side cases?

Which condition ensures two circles intersect at two points internally?