Explanation Given: ABCD is trapezoid such that A D ¯ ∥ B C ¯ and A D > B C and if A B = C D Approach: H-L Congruency rule: Two right angled triangles re congruent if one side and the hypotenuse of the one are respectively equal to the corresponding side and the hypotenuse of the other. Definition of trapezoid: A trapezoid is a four sided flat shape with straight sides that has a pair of opposite sides parallel. Calculation: Let us draw perpendicular from B and C on AD as BE & CF.

Pearson eText A Problem Solving Approach for Mathematics for Elementary School Teachers -- Instant Access (Pearson+)

13th Edition

ISBN: 9780136880141

Author: Rick Billstein, Shlomo Libeskind

Publisher: PEARSON+

See similar textbooks

Videos

Question

Chapter 12.2B, Problem 12A

To determine

To prove:

The congruent relation ∠A≅∠D

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.2B, Problem 11A

Chapter 12.2B, Problem 14A

Students have asked these similar questions

1. Prove the following arguments using the rules of inference. Do not make use of conditional proof. (а) а → (ЪЛс) ¬C ..¬a (b) (pVq) → →r יור (c) (c^h) → j ¬j h (d) s→ d t d -d ..8A-t (e) (pVg) (rv¬s) Лѕ קר .'

The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1. Select all that apply: ☐ f(x) is not continuous at x = 1 because it is not defined at x = 1. ☐ f(x) is not continuous at x = 1 because lim f(x) does not exist. x+1 ☐ f(x) is not continuous at x = 1 because lim f(x) ‡ f(1). x+→1 ☐ f(x) is continuous at x = 1.

2. Consider the following argument: (a) Seabiscuit is a thoroughbred. Seabiscuit is very fast. Every very fast racehorse can win the race. .. Therefore, some thoroughbred racehorse can win the race. Let us define the following predicates, whose domain is racehorses: T(x) x is a thoroughbred F(x) x is very fast R(x) x can win the race : Write the above argument in logical symbols using these predicates. (b) Prove the argument using the rules of inference. Do not make use of conditional proof. (c) Rewrite the proof using full sentences, avoiding logical symbols. It does not need to mention the names of rules of inference, but a fellow CSE 16 student should be able to understand the logical reasoning.

Chapter 12 Solutions

Pearson eText A Problem Solving Approach for Mathematics for Elementary School Teachers -- Instant Access (Pearson+)

Ch. 12.1 - Can you construct a triangle using the lengths...Ch. 12.1 - A triangle has two sides of length 10cm and 14cm....Ch. 12.1 - For the Figure below, answer the following Point C...Ch. 12.1 - In a circle with centre A and radius AB, let P be...Ch. 12.1 - In the following kite, congruent segments are...Ch. 12.1 - If the kite in exercise 5 were concave, do the...Ch. 12.1 - a. Are all rectangles whose diagonals are 19in....Ch. 12.1 - Explain why the quadrilateral ABCD is a kite.Ch. 12.1 - To draw the perpendicular to a line l through a...Ch. 12.1 - In the following drawing a compass is used to draw...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.