Gr 10 Math Ch 6: Triangles

What classification describes a triangle with all sides and angles different?

Isosceles

Equilateral

Scalene (correct)

Obtuse

What is the total measure of the interior angles of a triangle?

90°

180° (correct)

270°

360°

Which statement correctly defines similar triangles?

Triangles that have the same size

Triangles that are congruent

Triangles that have one angle greater than 90°

Triangles that have equal corresponding angles and proportional sides (correct)

What type of triangle has one angle that measures exactly 90°?

Right-angled Signup and view all the answers

Which congruency rule applies to two triangles having their hypotenuse and one side equal?

RHS Signup and view all the answers

Which classification describes a triangle with two equal sides?

Isosceles Signup and view all the answers

Which type of triangle has all angles measuring less than 90°?

Acute Signup and view all the answers

What is the relationship between an exterior angle and the opposite interior angles of a triangle?

An exterior angle is equal to the sum of the two opposite interior angles Signup and view all the answers

What is true about an obtuse triangle?

It has one angle that is greater than 90°. Signup and view all the answers

Which condition confirms that two triangles are congruent?

All corresponding angles are equal, and all corresponding sides are equal. Signup and view all the answers

Which statement best describes scalene triangles?

They have no sides of equal length. Signup and view all the answers

For two triangles to be similar, what must be true regarding their sides?

Their corresponding sides must be in proportion. Signup and view all the answers

What does the notation AAS stand for in triangle congruency rules?

Angle-Angle-Side Signup and view all the answers

If a triangle has one angle greater than 90°, what type of triangle is it classified as?

Obtuse Signup and view all the answers

Which of the following is NOT a property of triangles?

Each angle in an equilateral triangle is equal to 90°. Signup and view all the answers

Which of the following accurately describes an equilateral triangle?

All angles measure 60° and all sides are equal in length. Signup and view all the answers

How many angles are in a triangle that are less than 90° in an acute triangle?

3 Signup and view all the answers

Which of the following statements about isosceles triangles is false?

All angles in an isosceles triangle measure 60°. Signup and view all the answers

When two triangles are similar, which of the following is true?

They have the same shape but not necessarily the same size. Signup and view all the answers

What is the relationship between the corresponding sides of two triangles that are congruent?

The sides are equal in length. Signup and view all the answers

Which congruency rule involves two sides and the angle included between them being equal?

SAS Signup and view all the answers

If a triangle has one interior angle measuring exactly 90°, what can be determined about the sum of the other two angles?

Their sum is greater than 90°. Signup and view all the answers

What establishes the notational difference between congruence and similarity in triangles?

Congruence uses ≡ and similarity uses ∼. Signup and view all the answers

Which combination of properties describes a right-angled triangle?

One angle is 90° and the others are acute. Signup and view all the answers

Which classification is incorrect for the triangle having two equal angles but not all sides equal?

Scalene Signup and view all the answers

What can be said about two triangles that are both isosceles but not congruent?

They can still have different side lengths. Signup and view all the answers

If two triangles are similar, which of the following is NOT necessarily true?

Their side lengths are equal. Signup and view all the answers

If triangle A has angles measuring 50°, 60°, and 70°, which statement about a triangle B with angles measuring 70°, 50°, and 60° is true?

They are similar. Signup and view all the answers

Which of the following sets of angles represents a right-angled triangle?

30°, 60°, 90° Signup and view all the answers

Which rule applies when establishing the congruence of triangles based on two angles and a side?

AAS Signup and view all the answers

Which of the following accurately describes the relationship of exterior angles to the interior angles?

An exterior angle is equal to the sum of the two adjacent interior angles. Signup and view all the answers

If triangle C is congruent to triangle D, which of the following must occur?

Their corresponding sides are equal. Signup and view all the answers