Chapter 10: Q7. (page 378)

Draw any acute $Δ A C U$ . Use a method based on the $S S S$ postulate to construct a triangle congruent to $Δ A C U$ .

Short Answer

Expert verified

By $S S S$ congruency $Δ P Q R ≅ Δ A C U$ .

Step by step solution

Step 1. Given information.

An acute $Δ A C U$ is given.

Step 2. Draw the acute triangle.

Acute $Δ A C U$ is drawn below.

Here, $Δ A C U$ is an acute triangle as each of the angle has measure less than $90 °$ .

Step 3. Concept used.

According to $S S S$ congruence criteria,

if all the sides of one triangle are congruent to the corresponding sides of other triangle,

then the two triangles are said to be congruent.

Step 4. Construct the congruent triangle.

Construct $Δ P Q R$ such that $P Q ≅ A C, P R ≅ A U, Q R ≅ C U$ .

So,

$Δ P Q R ≅ Δ A C U$ (by $S S S$ congruence criteria)

Therefore,by $S S S$ congruency $Δ P Q R ≅ Δ A C U$ .

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Draw any acute $Δ A C U$ . Use a method based on the $S S S$ postulate to construct a triangle congruent to $Δ A C U$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Draw the acute triangle.

Step 3. Concept used.

Step 4. Construct the congruent triangle.

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Draw any acute ΔACU. Use a method based on the SSS postulate to construct a triangle congruent to ΔACU.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Draw the acute triangle.

Step 3. Concept used.

Step 4. Construct the congruent triangle.

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Draw any acute $Δ A C U$ . Use a method based on the $S S S$ postulate to construct a triangle congruent to $Δ A C U$ .