Join / Login

maths

EXAMPLE If the bisector of the vertical angle of a triangle bisects the buse, prox that the triangle is isosceles

Answer

Answer verified by Toppr

Upvote (0)

Was this answer helpful?

Get Instant Solutions, 24x7

No Signup required

download app

In the figure $B C = 2$ then $D E =$ ____.

View solution

$O E = \frac{1}{2} A B .$

View solution

In triangle ABC, $A B = A C$ ; $B E$ $⊥$ $A C$ and $C F$ $⊥$ $A B$ .

State whether following statement is true or false
$A F = A E$

View solution

ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that AB = BE and AD = DF.
Hence $Δ B E C ≅ Δ D C F$ .
State whether the above statement is true or false.

View solution

In given figure two sides $A B, B C$ and median $A M$ of one triangle $A B C$ are respectively equal to sides $P Q$ and $Q R$ and median $P N$ of $△ P Q R$ . Show that: $△ A B C ≅ △ P Q R$

View solution

Check whether the following statement is true or not:

Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.

View solution

In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

View solution

In $△$ ABC, AB = AC and AD is perpendicular bisector of BC. The property by which $△$ ADB is not congruent to $△$ ADC is ______.

View solution

If $∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ x_{1} x_{2} x_{3} y_{1} y_{2} y_{3} 111 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ a_{1} a_{2} a_{3} b_{1} b_{2} b_{3} 111 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣$
then the two triangles with vertices $(x_{1}, y_{1}), (x_{2}, y_{2}) (x_{3}, y_{3}) a n d (a_{1}, b_{1}), (a_{2}, b_{2}), (a_{3}, b_{3})$ must be congruent . Is this true ?

View solution

In given figure $A B$ is a line-segment. $P$ and $Q$ are points on either side of $A B$ such that each of them is equidistant from the points $A$ and $B$ . Show that the line $P Q$ is the perpendicular bisector of $A B$

View solution

Create custom Assignments

Customize assignments and download PDF’s

Make now

Learn with content

Watch learning videos, swipe through stories, and browse through concepts

Concepts
Videos
Stories

EXAMPLE If the bisector of the vertical angle of a triangle bisects the buse, prox that the triangle is isosceles

Answer

Related questions

In the figure $B C = 2$ then $D E =$ ____.

$O E = \frac{1}{2} A B .$

In triangle ABC, $A B = A C$ ; $B E$ $⊥$ $A C$ and $C F$ $⊥$ $A B$ .

State whether following statement is true or false
$A F = A E$

ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that AB = BE and AD = DF.
Hence $Δ B E C ≅ Δ D C F$ .
State whether the above statement is true or false.

In given figure two sides $A B, B C$ and median $A M$ of one triangle $A B C$ are respectively equal to sides $P Q$ and $Q R$ and median $P N$ of $△ P Q R$ . Show that: $△ A B C ≅ △ P Q R$

Check whether the following statement is true or not:

Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.

In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

In $△$ ABC, AB = AC and AD is perpendicular bisector of BC. The property by which $△$ ADB is not congruent to $△$ ADC is ______.

In given figure $A B$ is a line-segment. $P$ and $Q$ are points on either side of $A B$ such that each of them is equidistant from the points $A$ and $B$ . Show that the line $P Q$ is the perpendicular bisector of $A B$

Learn with content

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan

EXAMPLE If the bisector of the vertical angle of a triangle bisects the buse, prox that the triangle is isosceles

Answer

Related questions

In the figure BC=2 then DE=____.

OE=21​AB.

In triangle ABC, AB=AC; BE ⊥ AC and CF ⊥ AB. State whether following statement is true or falseAF=AE

ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that AB = BE and AD = DF.Hence ΔBEC≅ΔDCF.State whether the above statement is true or false.

In given figure two sides AB,BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of △PQR. Show that: △ABC≅△PQR

Check whether the following statement is true or not: Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.

In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

In △ABC, AB = AC and AD is perpendicular bisector of BC. The property by which △ADB is not congruent to △ADC is ______.

In given figure AB is a line-segment. P and Q are points on either side of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the perpendicular bisector of AB

Learn with content

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan

In the figure $B C = 2$ then $D E =$ ____.

$O E = \frac{1}{2} A B .$

In triangle ABC, $A B = A C$ ; $B E$ $⊥$ $A C$ and $C F$ $⊥$ $A B$ .

State whether following statement is true or false
$A F = A E$

ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that AB = BE and AD = DF.
Hence $Δ B E C ≅ Δ D C F$ .
State whether the above statement is true or false.

In given figure two sides $A B, B C$ and median $A M$ of one triangle $A B C$ are respectively equal to sides $P Q$ and $Q R$ and median $P N$ of $△ P Q R$ . Show that: $△ A B C ≅ △ P Q R$

Check whether the following statement is true or not:

Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.

In $△$ ABC, AB = AC and AD is perpendicular bisector of BC. The property by which $△$ ADB is not congruent to $△$ ADC is ______.

In given figure $A B$ is a line-segment. $P$ and $Q$ are points on either side of $A B$ such that each of them is equidistant from the points $A$ and $B$ . Show that the line $P Q$ is the perpendicular bisector of $A B$