Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

In the kite shown, what additional information is required to
prove that △ CAB ≅△ CAD ?

hint Hint:

Use the appropriate congruence rule.

The correct answer is: Then, △CAB⩭△CAD by SAS congruence rule.

SAS postulate: If 2 sides and the included angle of one triangle are equal to 2 sides
and the included angle of another triangle, then the triangles are congruent by SAS
congruence criterion.
Consider 2 triangles, and $straight triangle C A B text and end text straight triangle C A D$
From the figure, we have
AB = AD (given)
Also, AC = AC (common side)
According to SAS congruence rule, we must have
$straight angle C A B equals straight angle C A D$ ( the included angle) to satisfy the postulate
Then, $straight triangle C A B approximately equal to straight triangle C A D$ by SAS congruence rule.

Related Questions to study

In $straight triangle XYZ comma straight angle YXZ equals 62 to the power of ring operator text and end text straight angle XYZ equals 54 to the power of ring operator$ and $straight angle XYZ equals 54 to the power of ring operator$ . If YO and ZO are bisectors of $straight angle X Y Z$ and $straight angle X Z Y$ respectively, find $straight angle OZY$ and $straight angle YOZ$ .

In $straight triangle XYZ comma straight angle YXZ equals 62 to the power of ring operator text and end text straight angle XYZ equals 54 to the power of ring operator$ and $straight angle XYZ equals 54 to the power of ring operator$ . If YO and ZO are bisectors of $straight angle X Y Z$ and $straight angle X Z Y$ respectively, find $straight angle OZY$ and $straight angle YOZ$ .

Write the following in expanded fractional form :
c) 4.00524

Write the following in expanded fractional form :
c) 4.00524

Write the following in expanded fractional form :
b) 2.0504

Write the following in expanded fractional form :
b) 2.0504

parallel

Write the following in expanded fractional form :
a) 2.555

Write the following in expanded fractional form :
a) 2.555

$A B C D text is a rectangle. end text D E text is perpendicular from end text D text to end text A C text . Prove that end text A D squared equals A E. A C$

$A B C D text is a rectangle. end text D E text is perpendicular from end text D text to end text A C text . Prove that end text A D squared equals A E. A C$

In the given picture, if AB = FE, BC = ED, $AB perpendicular BD$ and $FE perpendicular EC$ , then prove that AD = FC.

In the given picture, if AB = FE, BC = ED, $AB perpendicular BD$ and $FE perpendicular EC$ , then prove that AD = FC.

parallel

Prove that: ∠ABM ≅ ∠DCM

Prove that: ∠ABM ≅ ∠DCM

Prove that UZ = YZ

Prove that UZ = YZ

In the given picture, $straight triangle ABC$ is an isosceles triangle with $AB equals AC$ and AD bisects the exterior angle A. Prove that
$AD parallel to BC.$

In the given picture, $straight triangle ABC$ is an isosceles triangle with $AB equals AC$ and AD bisects the exterior angle A. Prove that
$AD parallel to BC.$

parallel

Prove that the sum of squares of sides of a rhombus is equal to twice the sum of the squares of its diagonals.

Prove that the sum of squares of sides of a rhombus is equal to twice the sum of the squares of its diagonals.

In the given figure $AB equals AC equals AD comma space of 1em straight angle straight B equals 23 to the power of ring operator$ , and $straight angle D equals 47 to the power of ring operator$ . find $straight angle B C D$

In the given figure $AB equals AC equals AD comma space of 1em straight angle straight B equals 23 to the power of ring operator$ , and $straight angle D equals 47 to the power of ring operator$ . find $straight angle B C D$

$text Prove that in a end text straight triangle A B C text , if end text A D text is perpendicular to end text B C text , then end text A B squared plus C D squared equals A C squared plus B D squared text . end text$

$text Prove that in a end text straight triangle A B C text , if end text A D text is perpendicular to end text B C text , then end text A B squared plus C D squared equals A C squared plus B D squared text . end text$

parallel

Find the value of x y and z from the given figure.

Find the value of x y and z from the given figure.

Prove that ∠YXZ ≅ ∠UWZ

Prove that ∠YXZ ≅ ∠UWZ

Find x: if [9/5]⁻⁵× [9/5]¹² = [9/5]^3x−2

Find x: if [9/5]⁻⁵× [9/5]¹² = [9/5]^3x−2

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.