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In the figure, if AD is an altitude of an isosceles triangle ABC in which AB = AC, then :
In and
(Given)
(each )
(Common)
(RHS)
(cpct)
\(\triangle \)ABC and \(\triangle \)CDA in the figure are congruent by which criterion ?
(given)
(given)
(Common)
(SSS)
In a \(\triangle ABC \) if \(\angle A=45^o \) and \(\angle C=60^o \), then the shortest side of the triangle is :
is shortcut angle. So is the shortcut side
If two sides of a triangle are unequal, then :
If two sides of a triangle are unequal then longest side has greater angle opposite to it
In the figure, \( AB=AD\) and \(BC=DC \). If \(\angle BAC=30^o \), the measure of \(\angle OAD \) is:
(cpct)
So,
In the figure. if AD = BC and ADBC then:
In and
(given)
(Common)
(alternate angles)
(SAS)
(cpct)
In the given figure, if AC = AD and AB bisects \(\angle \)A, then :
(given)
(given)
(common)
(SAS)
(cpct)
If \(\triangle \)ABD and \(\triangle \)ACD are congruent by SSS congruence rule, then :
(cpct)
For a \(\triangle \)ABC, which of the following statements is true ?
Difference of two sides is less than the third side
If AD and BE are altitudes of a \(\triangle \)ABC and AE = BD, then :
(given)
(Common)
(RHS)
(cpct)
In \(\triangle,\angle R=\angle P \) and \(QR=4 \) cm and \(PR=5 \) cm. Then the length of \(PQ \) is:
In the given triangle. \(AD=AC,\ \angle ACD=75^o \) and \(\angle BAD=35^o \). The longest side of the \(\triangle ABC \) is:
AB is the length side
In the figure , if AB = AC and DB = DC, the ratio of \(\angle \)ABD to \(\angle \)ACD is :
In and
In the figure, if \(AB = CD\) and \(AD = BC\), then :
(given)
(Common)
In the given triangle, \(AC=AD,\ \angle\ CAD=50^o \) and \(\angle BAD=23^o \). Which of the following is true ?
\(\)\angle ACD=\angle ADC=65^o\\ \\ \angle B=180(65+73)=180138=42\\ \\ \angle C=65^o\\ \\ AB
In a \(\triangle \)ABC, the measure of each base angle is \(55^o \).If AB = 5 cm, then the length of side AC is equal to:
In the following figure, AD bisects \(\angle \)A . Then the relation between the sides AB, BD and DC is :
\(\)\angle A=180(70+30)=80\\ \\ \angle BAD=\angle CAD=40\\ \\ DC<BD
\(\triangle ABC,\angle B=45^o,\angle C=65^o \) and the bisector of \(\angle BAC \) meets \(BC \) at \(P \). The relation between the sides \(AP,BP \) and \(AB \) is
It is given that \(\triangle ABC\cong\triangle FDE \) and \(AB=5\ cm,\ \angle B=40^o \) and \( \angle A=80^o\). Then which of the following is true ?
Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be :
Sum of any two sides should be greater than third side.
In \(\triangle ABC,\angle A=50^o,\angle B=60^o, \) arranging the sides of the triangle in ascending order, we get :
Two equilateral triangles are congurent when :
Two equilateral triangles are congruent when their sides are equal.
In the figure, if \(AB=AC \) and \(AP=AQ \), then by which congruence criterion \(\triangle PBC\cong\triangle QCB \)?
(additional criteria)
Given \(\triangle OAP\cong\triangle OBP \) in the figure. The criteria by which the triangles are congruent is :
(SAS)
(given)
(given)
(Common)
In the figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measure of \(\angle \)BCD is :
In the figure, which of the following statements is true ?
is the smallest angle in triangle
It is not possible to construct a triangle when its sides are :
So it is not possible to construct a triangle
In the given figure, AD is the median, then \(\angle \)BAD is
One of the angles of a triangle is 75°. If the difference of the other two angles is 35°, then the largest angle of the triangle has a measure of :
Let the other two angles be and
Given …(i)
Now using angle sum property of triangle
…(ii)
Solving (i) and (ii)
So the measure of largest angle is