05.07 Right Triangles And Trigonometry Test Part One

Question: YOU’RE WELCOME!!!

Answer: I took the test.

Question: Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-column proof of the theorem is shown, but the proof is incomplete. Which of the following completes the proof?

Answer: By substitution

Question: The figure below shows triangle NRM with r2 = m2 + n2: Ben constructed a right triangle EFD with legs m and n, as shown below: He made the following table to prove that triangle NRM is a right triangle: Which reason best fits statement 5?

Answer: SSS Postulate

Question: Hillary is using the figure shown below to prove Pythagorean Theorem using triangle similarity: In the given triangle ABC, angle A is 90 degrees and segment AD is perpendicular to segment BC. Which of these could be a step to prove that BC2 = AB2 + AC2 ?

Answer: By the addition property of equality, AC2 plus AB2 = BC multiplied by DC plus AB2.

Question: Theorem: A line parallel to one side of a triangle divides the other two proportionately. In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB: Which statement can be proved true using the given theorem?

Answer: Segment BF = 18

Question: Use the figure below to answer the question that follows: What must be given to prove that triangle BIJ ~ triangle BDF?

Answer: line JI parallel to line FD

Question: Look at the figure below: Which triangle is similar to triangle SRT?

Answer: Triangle TRP

Question: If line LN = line NP and <1 = <2, prove that < NLO = <NPM: Hector wrote the following proof for his geometry homework for the given problem: Which of the following completes Hector’s proof?

Answer: Corresponding Parts of Congruent Triangles Are Congruent

Question: Use triangle ABC shown below to answer the question that follows: Which of the following must be given to prove that triangle ABC is similar to triangle DBA?

Answer: Segment AD is an altitude of triangle ABC.

Question: The figure below shows a quadrilateral ABCD with diagonal BD bisecting angle ADC: Which equation is true?

Answer: AD = DC