Topics
Congruence and Similarity
topic badge
India
Class IX

Find sides and angles with congruent relationships

Lesson
Practice

Interactive practice questions

Given that these shapes are congruent, find the values of $x$x and $y$y.

$x=\editable{}$x=

$y=\editable{}$y=

Easy
< 1min

Given that $\triangle BAC\equiv\triangle FED$△BAC≡△FED, which angle of $\triangle FED$△FED corresponds to $\angle ABC$∠ABC?

Easy
< 1min

Given that $\triangle QPO\equiv\triangle CBA$△QPO≡△CBA, which angle of $\triangle QPO$△QPO corresponds to $\angle BCA$∠BCA?

Easy
< 1min

The two given triangles are congruent. By considering the relative position of angles and sides, or otherwise, find the missing values. Give a reason for each answer.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

9.G.T.1

Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

9.G.T.2

Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. The angles opposite to equal sides of a triangle are equal. The angles opposite to equal sides of a triangle are equal. Triangle inequalities and relation between ‘angle and facing side’; inequalities in a triangle.

What is Mathspace

About Mathspace