Isosceles Triangles
Angle M has a measure of 47°. What is the measure of angle PNL? 43° 47° 86° 94°
a
Triangle QST is isosceles, and RT bisects <T. What is true about <QRT? Select two options. m<QRT = 90° m<QRT = m<SRT m<QRT ≃ STQ m<QRT = 2*m<RTQ m<QRT ≃ <RTQ
a,b
Consider the diagram and proof by contradiction. Given: △ABC with line AB ≅ line AC Since it is given that AB ≅ AC, it must also be true that line AB = line AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that ________. AB ≠ AC ∠B ≅ ∠C ABC is not a triangle ∠A ≅ ∠B ≅ ∠C
b
Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is AC and measures 24 centimeters. What is the measure of AB? 12 cm 36 cm 48 cm 72 cm
b
Triangle ABC is an isosceles right triangle. What is the measure of one base angle? 30º 45º 60º 90º
b
What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are congruent. The vertex angle is a right angle. The vertex angle is obtuse.
b
Right triangle ABC is isosceles and point M is the midpoint of the hypotenuse. What is true about triangle AMB? It is congruent to triangle ABC. It is an obtuse triangle. It is an isosceles right triangle. It is a scalene triangle.
c
Triangle ABC is isosceles. What is the length of line BC? 11 23 40 60
c
RT is a perpendicular bisector of UV. What is true of any triangle created by points U, V, and any point on RT other than S? It will be a right triangle. It will be an acute triangle. It will be an equilateral triangle. It will be an isosceles triangle.
d
Triangle ABC is isosceles. What is true about the measure of angle B? It is twice the measure of angle A. It is twice the measure of angle C. It is equal to the measure of angle A. It is equal to the measure of angle C.
not c
