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If ∆PQR and ∆XYZ are congruent under the correspondence QPR ↔ XYZ, then (i) ∠R = (ii) QR = (iii) ∠P = (iv) QP = (v) ∠ Q = (vi) RP =

Solution If ∆PQR and ∆XYZ are congruent under the correspondence QPR ↔ XYZ, then (i) ∠R = ∠Z (ii) QR = XZ (iii) ∠P = ∠Y... View Article

Two squares are congruent, if they have same _____.

Two squares are congruent, if they have same side. Congruence is a term used to describe the relationship between two congruent figures. In... View Article

Two rectangles are congruent, if they have same and .

Two rectangles are congruent, if they have same and length and breadth. Congruence is a term used to describe the relationship between two... View Article

Two angles are said to be _______, if they have equal measures.

Two angles are said to be congruent, if they have equal measures. Congruent angles are two or more angles that are identical to each other.... View Article

Two line segments are congruent, if they are of _______ lengths.

Two line segments are congruent, if they are of equal lengths Congruence is a term used to describe the relationship between two congruent... View Article

Every triangle has at least _______ acute angle (s).

Every triangle has at least two acute angle (s). A triangle can have two acute angles. In an obtuse angle triangle, there should be one... View Article

If one angle of a triangle is equal to the sum of other two, then the measure of that angle is ________.

If one angle of a triangle is equal to the sum of other two, then the measure of that angle is 90o. Right angled triangle A right-angled... View Article

In an isosceles triangle, angles opposite to equal sides are _______.

In an isosceles triangle, angles opposite to equal sides areequal. An isosceles triangle is a type of triangle that has any two sides equal... View Article

In an isosceles triangle, two angles are always _____.

In an isosceles triangle, two angles are always equal. An isosceles triangle is a type of triangle that has any two sides equal in length.... View Article

Measures of each of the angles of an equilateral triangle is _____.

Measures of each of the angles of an equilateral triangle is 60o. In geometry, an equilateral triangle is a triangle that has all its... View Article

Median is also called _______ in an equilateral triangle.

Median is also called altitude in an equilateral triangle A line segment that joins any vertex of the triangle and the mid-point of its... View Article

The longest side of a right angled triangle is called its ______.

The longest side of a right angled triangle is called its hypotenuse. A right-angled triangle is a type of triangle that has one of its angles... View Article

The sum of an exterior angle of a triangle and its adjacent angle is always ______

The sum of an exterior angle of a triangle and its adjacent angle is always 1800. In the given triangle, ∆ABC, AB, BC, and CA represent three... View Article

The _____ triangle always has altitude outside itself.

The Obtusetriangle always has altitude outside itself. Obtuse triangles are those in which one of the three interior angles has a measure... View Article

If ∆ABC and ∆DBC are on the same base BC, AB = DC and AC = DB (figure), then which of the following gives a congruence relationship? (a) ∆ ABC ≅ ∆ DBC (b) ∆ ABC ≅ ∆CBD (c) ∆ ABC ≅ ∆ DCB (d) ∆ ABC ≅ ∆BCD

The correct answer is (c) ∆ ABC ≅ ∆ DCB Justification From the given details we observe that AB = DC and AC = DB BC = BC …... View Article

If ∆PQR is congruent to ∆STU (figure), then what is the length of TU? (a) 5 cm (b) 6 cm (c) 7 cm (d) cannot be determined

The correct answer is (b) 6 cm Justification From the given details we observe that Δ PQR ≅ Δ STU... View Article

By which of the following criterion two triangles cannot be proved congruent? (a) AAA (b) SSS (c) SAS (d) ASA

The correct answer is (a) AAA congruence criterion Justification AAS stands for Angle-angle-side. When two angles and a non-included... View Article

By which congruency criterion, the two triangles in figures are congruent? (a) RHS (b) ASA (c) SSS (d) SAS

The correct answer is (c) SSS congruence criterion Justification If all the three sides of one triangle are equivalent to the... View Article

Two triangles are congruent, if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the (a) RHS congruence criterion (b) ASA congruence criterion (c) SAS congruence criterion (d) AAA congruence criterion

The correct answer is (b) ASA congruence criterion Justification If any two angles and the side included between the angles of one triangle... View Article

If D is the mid-point of the side BC in ∆ABC where AB = AC, then ∠ADC is (a) 60° (b) 45° (c) 120s° (d) 90°

The correct answer is (d) 90o Justification We know that in an isosceles triangle altitude and median are the same. From the question, if... View Article

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