7. CBQ - Triangular Flower Beds

Question:

4 m.

A school creates two triangular flower beds. The students measure the sides and an angle of each flower bed.

For $\triangle ABC$:

$AB = 10 \ m, BC = 6.1 \ m, \angle B = 70^\circ$

For $\triangle PQR$:

$PQ = 10 \ m, QR = 6.1 \ m, \angle Q = 70^\circ$

The school gardener wants to check whether both flower beds are congruent.

Based on the above information, answer the questions below.

Questions:

1. Which of the following represents the two pairs of corresponding sides?

$AB \leftrightarrow PQ$ and $BC \leftrightarrow QR$
$AB \leftrightarrow PR$ and $BC \leftrightarrow PQ$
$AC \leftrightarrow PQ$ and $BC \leftrightarrow PR$
$AB \leftrightarrow QR$ and $BC \leftrightarrow PQ$

2. Which of the following pairs represents the corresponding angles?

$\angle B$ and $\angle Q$
$\angle A$ and $\angle Q$
$\angle A$ and $\angle R$
$\angle C$ and $\angle P$

3. Complete the statement:

$AB = PQ$, $BC = QR$ and $\angle B = \angle Q $

Therefore, $ \triangle ABC \cong \triangle PQR $ by the .......... Congruence Condition.

SSS (Side Side Side)
SSA (Side Side Angle)
ASS (Angle Side Side)
SAS (Side Angle Side)

4. If $AC = 8.7 \ m$, what is the length of $PR$?

$14.2$ $m$
$6$ $m$
$8.7 m$
$10$ $m$

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