Chapter 4: Q17. (page 120)

Plot the given points on graph paper. Draw $Δ ABC$ and $Δ DEF$ . Copy and complete the statement role="math" localid="1638345245002" $Δ ABC ≅ \underline{?}$ .
$A (1, 1)$ $B (8, 1)$
$D (3, - 7)$ $E (5, - 3)$ $F (3, 0)$

Short Answer

Expert verified

$Δ ABC ≅ \underline{Δ FDE}$

Step by step solution

Step 1. Plot the diagram.

Plot $A (1, 1)$ , $B (8, 1)$ , $C (4, 3)$ , $D (3, - 7)$ , $E (5, - 3)$ , $F (3, 0)$ on the graph paper and draw $Δ A B C$ and $Δ D E F$ as:

Step 2. Show the calculation.

The two triangles are said to be congruent if they are copies of each other and if their vertices are superposed, then can say that the corresponding angles and the sides of the triangles are congruent.

In the diagram, if the two triangles are superposed, then it is obtained that,

$Δ A B C ≅ Δ F D E$

Step 3. State the conclusion.

Therefore, $Δ A B C ≅ Δ F D E$ .

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Plot the given points on graph paper. Draw $Δ ABC$ and $Δ DEF$ . Copy and complete the statement role="math" localid="1638345245002" $Δ ABC ≅ \underline{?}$ .
$A (1, 1)$ $B (8, 1)$
$D (3, - 7)$ $E (5, - 3)$ $F (3, 0)$

Short Answer

Step by step solution

Step 1. Plot the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

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Plot the given points on graph paper. Draw ΔABCand ΔDEF. Copy and complete the statement role="math" localid="1638345245002" ΔABC≅?¯.A1,1B8,1D3,−7E5,−3F3,0

Short Answer

Step by step solution

Step 1. Plot the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Decision Maths

Probability and Statistics

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Plot the given points on graph paper. Draw $Δ ABC$ and $Δ DEF$ . Copy and complete the statement role="math" localid="1638345245002" $Δ ABC ≅ \underline{?}$ .
$A (1, 1)$ $B (8, 1)$
$D (3, - 7)$ $E (5, - 3)$ $F (3, 0)$