Determine the corresponding vertices and sides — task. Mathematics State Board, Class 7.

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State the pairs of corresponding vertices and the value of its side for the following triangle by applying ASA congruence:

$∠P =$ 43

$°$ ,

$∠R =$ 78

$°$ and

$PR = a =$ 10 units, and

$∠F =$ 78

$°$ ,

$∠E =$ 43

$°$ and

$EF = a =$ 10 units.

The corresponding vertices:

Vertex

$P$ of triangle

$PQR$ will falls on side of triangle

$DEF$ .

Vertex

$Q$ of triangle

$PQR$ will falls on vertex of triangle

$DEF$ .

Vertex

$R$ of triangle

$PQR$ will falls on vertex of triangle

$DEF$ .

The corresponding sides:

Side

$PQ$ of triangle

$PQR$ will falls on side of triangle

$DEF$ .

Side

$QR$ of triangle

$PQR$ will falls on side of triangle

$DEF$ .

Side

$PR$ of triangle

$PQR$ will falls on side of triangle

$DEF$ .

$1$

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4. Determine the corresponding vertices and sides