Day 2: Isosceles Triangles and Special Segments

Last updated almost 5 years ago

12 questions

1

An isosceles triangle has two congruent sides.

True

False

An isosceles triangle has two congruent angles.

True

False

Find the value of x.

Find the value of x. (Leave your answer in decimal form)

Find the value of x.

Which of the following sets of numbers could represent the three sides of a triangle? (Hint, all triangles must satisfy a+b > c for each side where a and b are the shorter sides and c is the longest side)

{4, 16, 17} --> 4 + 16 = 20 > 17

{14, 18, 34} --> 14 + 18 = 32 < 34

{8, 21, 29} --> 8 + 21 = 29 = 29

{13, 27, 41} -> 13 +27 = 40 <41

Which of the following sets of numbers could NOT represent the three sides of a triangle? (Hint, all triangles must satisfy a+b > c for each side where a and b are the shorter sides and c is the longest side)

{7, 17, 22} 

{5, 18, 22} 

{10, 12, 20} 

{12, 21, 33}

Which of the following sets of numbers could NOT represent the three sides of a triangle? (Hint, all triangles must satisfy a+b > c for each side where a and b are the shorter sides and c is the longest side)

{11, 13, 26} 

{13, 19, 29} 

{6, 10, 15}

{13, 19, 30}

An isosceles triangle has two congruent sides. 

True

False

An isosceles triangle has two congruent angles. 

True

False

Which of the following sets of numbers could represent the three sides of a triangle? (Hint, all triangles must satisfy a+b > c for each side where a and b are the shorter sides and c is the longest side)

{4, 16, 17} --> 4 + 16 = 20 > 17

{14, 18, 34} --> 14 + 18 = 32 < 34

{8, 21, 29} --> 8 + 21 = 29 = 29

{13, 27, 41} -> 13 +27 = 40 <41

Which of the following sets of numbers could NOT represent the three sides of a triangle? (Hint, all triangles must satisfy a+b > c for each side where a and b are the shorter sides and c is the longest side)

{7, 17, 22} 

{5, 18, 22} 

{10, 12, 20} 

{12, 21, 33}

Which of the following sets of numbers could NOT represent the three sides of a triangle? (Hint, all triangles must satisfy a+b > c for each side where a and b are the shorter sides and c is the longest side)

{11, 13, 26} 

{13, 19, 29} 

{6, 10, 15}

{13, 19, 30}