Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Which properties belong to all isosceles triangles? Check all that apply.

The base angles are congruent.
All three angles are congruent.
The two sides opposite the base angles are congruent.
All three sides are congruent.
The bisector of the vertex angle is the perpendicular bisector of the base.


Sagot :

3 Answers:  Choice A, Choice C, Choice E

=====================================================

Explanation:

Let's go through the answer choices to see which are true and which are false.

  • A) True. The base angles are the same measure, and they are opposite the congruent sides. Any isosceles triangle has exactly two congruent sides.
  • B) False. This is describing an equilateral triangle (where all three angles are 60 degrees each).
  • C) True. See choice A.
  • D) False. This is describing an equilateral triangle where all sides are the same length.
  • E) True. You can use the SAS (side angle side) congruence theorem to prove that the angle bisector is also the perpendicular bisector. Furthermore, this segment is also a median. This only applies to the vertex angle.

Answer:

The base angles are congruent.

The two sides opposite the base angles are congruent.

The bisector of the vertex angle is the perpendicular bisector of the base.

Step-by-step explanation:

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.