Question

#7) which of the following describes triangle qsv?
scalene right
blue scalene acute
black isosceles right
purple isosceles acute
yellow
#8) which of the following describes triangle tvw?
scalene
acute - red equiangular
equilateral - tan isosceles
acute - blue isosceles
right - brown
#9) which of the following describes triangle rqv?
isosceles right
brown equiangular
equilateral - red scalene
right - black scalene
acute - blue

Explanation:

#7:

• Identify triangle type by sides:

Since two sides of \(\triangle QSV\) are equal (marked with the same tick - marks), it is isosceles.

• Identify triangle type by angles:

There is no right - angle mark in \(\triangle QSV\), and all angles are acute (less than \(90^{\circ}\)). So it is isosceles acute.

#8:

• Identify triangle type by sides:

Since two sides of \(\triangle TVW\) are equal (marked with the same tick - marks), it is isosceles.

• Identify triangle type by angles:

All angles of \(\triangle TVW\) are acute (less than \(90^{\circ}\)). So it is isosceles acute.

#9:

• Identify triangle type by sides:

Since two sides of \(\triangle RQV\) are equal (\(QR = RV\), \(QR\perp RV\) as \(QR\perp RW\) and \(RV\) is a part of \(RW\) in the given figure), it is isosceles.

• Identify triangle type by angles:

\(\angle QRV = 90^{\circ}\), so it is a right - triangle. So it is isosceles right.

Answer:

1. Isosceles Acute - Yellow
2. Isosceles Acute - Blue
3. Isosceles Right - Brown