By applying $SAS$ congruence condition, state which of the following pairs of triangle are congruent. State the result in symbolic form.
View full solution →Question types
Congruence question types
64 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
64
Questions
4
Question groups
5
Question types
Sample Questions
Congruence questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Fill in the blanks:
Two rectangles are congruent if .
Two rectangles are congruent if .
In $\triangle\text{ABC},$ it is known that $\angle\text{B}=\text{C}$. Imagine you have another copy of $\triangle\text{ABC}$. Is $\triangle\text{ACB}\cong\triangle\text{ACB}?$
View full solution →State the condition by which the following pairs of triangles are congruent.
Following statement are true or false;
If two triangles are equal in area, they are congruent.
If two triangles are equal in area, they are congruent.
In each of 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 each result in symbolic form.
View full solution →In the following pair of triangle (Fig.), the lengths of the sides are indicated along sides. By applying $SSS$ condition, determine which are congruent. State the result in symbolic form.
View full solution →Draw any triangle $ABC$. Use $ASA$ condition to construct other triangle congruent to it.
View full solution →In each of 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 each result in symbolic form.
View full solution →In Figure, $AX$ bisects $\angle\text{BAC}$ as well as $∠BDC$. State the three facts needed to ensure that $\triangle\text{ACD}\cong\triangle\text{ABD}$. 
View full solution →In figure, $AB \| DC$ and $AB = DC.$
$i.$ Is $\triangle\text{ACD}\cong\triangle\text{CAB}?$
$ii.$ State the three pairs of matching parts used to answer $(i).$
$iii.$ Which angle is equal to $\angle\text{CAD}?$
$iv.$ Does it follow from $(iii)$ that $AD \| BC?$
View full solution →$i.$ Is $\triangle\text{ACD}\cong\triangle\text{CAB}?$
$ii.$ State the three pairs of matching parts used to answer $(i).$
$iii.$ Which angle is equal to $\angle\text{CAD}?$
$iv.$ Does it follow from $(iii)$ that $AD \| BC?$
In each of 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 each result in symbolic form.
View full solution →In figure, $a = b = c$, name the angle which is congruent to $\angle\text{AOC}$
View full solution →In figure, $\angle\text{AOC}\cong\angle\text{PYR}$ and $\angle\text{AOC}\cong\angle\text{PYR}$. Name the angle which is congruent to $\angle\text{AOB}.$ 
View full solution →In Figure, $AB = AD$ and $\angle\text{BAC}=\angle\text{DAC}$.
View full solution →- State in symbolic form the congruence of two triangles $ABC$ and $ADC$ that is true.
- Complete each of the following, so as to make it true:
- $\angle\text{ABC}$ =
- $\angle\text{ACD}$ =
- Line segment $AC$ bisects and .
Draw a right triangle $ABC$. Use $RHS$ condition to construct another triangle congruent to it.
View full solution →Generate a Congruence paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.