By applying SAS congruence condition, state which of the following pairs of triangle are congruent. State the result in symbolic form.
Question types
Congruence question types
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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.
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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 →Is $\triangle\text{ACB}\cong\triangle\text{ACB}?$
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.
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.
Draw any triangle ABC. Use ASA condition to construct other triangle congruent to it.
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.
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 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.
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.
In figure, AB || DC and AB = DC.
View full solution →- Is $\triangle\text{ACD}\cong\triangle\text{CAB}?$
- State the three pairs of matching parts used to answer (i).
- Which angle is equal to $\angle\text{CAD}?$
- Does it follow from (iii) that AD || BC?
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