Gr 10 Math Ch 6: Triangles

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Questions and Answers

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°?

<p>Right-angled (C)</p> Signup and view all the answers

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

<p>RHS (A)</p> Signup and view all the answers

Which classification describes a triangle with two equal sides?

<p>Isosceles (C)</p> Signup and view all the answers

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

<p>Acute (A)</p> Signup and view all the answers

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

<p>An exterior angle is equal to the sum of the two opposite interior angles (A)</p> Signup and view all the answers

What is true about an obtuse triangle?

<p>It has one angle that is greater than 90°. (C)</p> Signup and view all the answers

Which condition confirms that two triangles are congruent?

<p>All corresponding angles are equal, and all corresponding sides are equal. (A)</p> Signup and view all the answers

Which statement best describes scalene triangles?

<p>They have no sides of equal length. (C)</p> Signup and view all the answers

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

<p>Their corresponding sides must be in proportion. (D)</p> Signup and view all the answers

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

<p>Angle-Angle-Side (A)</p> Signup and view all the answers

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

<p>Obtuse (D)</p> Signup and view all the answers

Which of the following is NOT a property of triangles?

<p>Each angle in an equilateral triangle is equal to 90°. (D)</p> Signup and view all the answers

Which of the following accurately describes an equilateral triangle?

<p>All angles measure 60° and all sides are equal in length. (D)</p> Signup and view all the answers

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

<p>3 (D)</p> Signup and view all the answers

Which of the following statements about isosceles triangles is false?

<p>All angles in an isosceles triangle measure 60°. (C)</p> Signup and view all the answers

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

<p>They have the same shape but not necessarily the same size. (B), Their corresponding angles are equal. (C)</p> Signup and view all the answers

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

<p>The sides are equal in length. (C)</p> Signup and view all the answers

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

<p>SAS (D)</p> 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?

<p>Their sum is greater than 90°. (B)</p> Signup and view all the answers

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

<p>Congruence uses ≡ and similarity uses ∼. (B)</p> Signup and view all the answers

Which combination of properties describes a right-angled triangle?

<p>One angle is 90° and the others are acute. (C)</p> Signup and view all the answers

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

<p>Scalene (B)</p> Signup and view all the answers

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

<p>They can still have different side lengths. (A)</p> Signup and view all the answers

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

<p>Their side lengths are equal. (C)</p> 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?

<p>They are similar. (B)</p> Signup and view all the answers

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

<p>30°, 60°, 90° (A), 45°, 45°, 90° (B)</p> Signup and view all the answers

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

<p>AAS (A)</p> Signup and view all the answers

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

<p>An exterior angle is equal to the sum of the two adjacent interior angles. (A)</p> Signup and view all the answers

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

<p>Their corresponding sides are equal. (B)</p> Signup and view all the answers

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