BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

In Exercises 17 to 24, complete each proof.

Given: A B ¯ D C ¯ , A C ¯ D E ¯

Prove: A B D C = B C C E

Chapter 5.3, Problem 24E, In Exercises 17 to 24, complete each proof. Given: ABDC,ACDE Prove: ABDC=BCCE PROOF Statements

PROOF
Statements Reasons
1. A B ¯ D C ¯
2.
3. ?
4. A C B E
5. Δ A C B Δ D E C
6. ?
1. ?
2. If 2 || lines are cut by a trans, corr s are .
3. Given
4. ?
5. ?
6. ?

To determine

To prove:

The statement ABDC=BCCE if the sides AB and DC are parallel, AB¯DC¯ and the sides AC and DE are parallel, AC¯DE¯.

Explanation

Definition:

AA:

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

CSSTP:

Corresponding sides of similar triangles are proportional.

Description:

Given that RS¯UV¯.

The given figure is shown below.

Figure

From the given figure, it is observed that the sides AB and DC are parallel, AB¯DC¯.

If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Therefore, BACD.

From the given figure, it is also observed that the sides AC and DE are parallel, AC¯DE¯.

If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Therefore, ACBE.

The above mentioned AA definition, the two triangles ACB and DEC are similar since the two angles of one triangle are congruent to two angles of another triangle. Hence, ΔACBΔDEC.

From the definition of CSSTP, corresponding sides of similar triangles are proportional

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-5.1 P-11ESect-5.1 P-12ESect-5.1 P-13ESect-5.1 P-14ESect-5.1 P-15ESect-5.1 P-16ESect-5.1 P-17ESect-5.1 P-18ESect-5.1 P-19ESect-5.1 P-20ESect-5.1 P-21ESect-5.1 P-22ESect-5.1 P-23ESect-5.1 P-24ESect-5.1 P-25ESect-5.1 P-26ESect-5.1 P-27ESect-5.1 P-28ESect-5.1 P-29ESect-5.1 P-30ESect-5.1 P-31ESect-5.1 P-32ESect-5.1 P-33ESect-5.1 P-34ESect-5.1 P-35ESect-5.1 P-36ESect-5.1 P-37ESect-5.1 P-38ESect-5.1 P-39ESect-5.1 P-40ESect-5.1 P-41ESect-5.2 P-1ESect-5.2 P-2ESect-5.2 P-3ESect-5.2 P-4ESect-5.2 P-5ESect-5.2 P-6ESect-5.2 P-7ESect-5.2 P-8ESect-5.2 P-9ESect-5.2 P-10ESect-5.2 P-11ESect-5.2 P-12ESect-5.2 P-13ESect-5.2 P-14ESect-5.2 P-15ESect-5.2 P-16ESect-5.2 P-17ESect-5.2 P-18ESect-5.2 P-19ESect-5.2 P-20ESect-5.2 P-21ESect-5.2 P-22ESect-5.2 P-23ESect-5.2 P-24ESect-5.2 P-25ESect-5.2 P-26ESect-5.2 P-27ESect-5.2 P-28ESect-5.2 P-29ESect-5.2 P-30ESect-5.2 P-31ESect-5.2 P-32ESect-5.2 P-33ESect-5.2 P-34ESect-5.2 P-35ESect-5.2 P-36ESect-5.2 P-37ESect-5.2 P-38ESect-5.2 P-39ESect-5.2 P-40ESect-5.3 P-1ESect-5.3 P-2ESect-5.3 P-3ESect-5.3 P-4ESect-5.3 P-5ESect-5.3 P-6ESect-5.3 P-7ESect-5.3 P-8ESect-5.3 P-9ESect-5.3 P-10ESect-5.3 P-11ESect-5.3 P-12ESect-5.3 P-13ESect-5.3 P-14ESect-5.3 P-15ESect-5.3 P-16ESect-5.3 P-17ESect-5.3 P-18ESect-5.3 P-19ESect-5.3 P-20ESect-5.3 P-21ESect-5.3 P-22ESect-5.3 P-23ESect-5.3 P-24ESect-5.3 P-25ESect-5.3 P-26ESect-5.3 P-27ESect-5.3 P-28ESect-5.3 P-29ESect-5.3 P-30ESect-5.3 P-31ESect-5.3 P-32ESect-5.3 P-33ESect-5.3 P-34ESect-5.3 P-35ESect-5.3 P-36ESect-5.3 P-37ESect-5.3 P-38ESect-5.3 P-39ESect-5.3 P-40ESect-5.3 P-41ESect-5.3 P-42ESect-5.3 P-43ESect-5.4 P-1ESect-5.4 P-2ESect-5.4 P-3ESect-5.4 P-4ESect-5.4 P-5ESect-5.4 P-6ESect-5.4 P-7ESect-5.4 P-8ESect-5.4 P-9ESect-5.4 P-10ESect-5.4 P-11ESect-5.4 P-12ESect-5.4 P-13ESect-5.4 P-14ESect-5.4 P-15ESect-5.4 P-16ESect-5.4 P-17ESect-5.4 P-18ESect-5.4 P-19ESect-5.4 P-20ESect-5.4 P-21ESect-5.4 P-22ESect-5.4 P-23ESect-5.4 P-24ESect-5.4 P-25ESect-5.4 P-26ESect-5.4 P-27ESect-5.4 P-28ESect-5.4 P-29ESect-5.4 P-30ESect-5.4 P-31ESect-5.4 P-32ESect-5.4 P-33ESect-5.4 P-34ESect-5.4 P-35ESect-5.4 P-36ESect-5.4 P-37ESect-5.4 P-38ESect-5.4 P-39ESect-5.4 P-40ESect-5.4 P-41ESect-5.4 P-42ESect-5.4 P-43ESect-5.4 P-44ESect-5.4 P-45ESect-5.5 P-1ESect-5.5 P-2ESect-5.5 P-3ESect-5.5 P-4ESect-5.5 P-5ESect-5.5 P-6ESect-5.5 P-7ESect-5.5 P-8ESect-5.5 P-9ESect-5.5 P-10ESect-5.5 P-11ESect-5.5 P-12ESect-5.5 P-13ESect-5.5 P-14ESect-5.5 P-15ESect-5.5 P-16ESect-5.5 P-17ESect-5.5 P-18ESect-5.5 P-19ESect-5.5 P-20ESect-5.5 P-21ESect-5.5 P-22ESect-5.5 P-23ESect-5.5 P-24ESect-5.5 P-25ESect-5.5 P-26ESect-5.5 P-27ESect-5.5 P-28ESect-5.5 P-29ESect-5.5 P-30ESect-5.5 P-31ESect-5.5 P-32ESect-5.5 P-33ESect-5.5 P-34ESect-5.5 P-35ESect-5.5 P-36ESect-5.5 P-37ESect-5.5 P-38ESect-5.6 P-1ESect-5.6 P-2ESect-5.6 P-3ESect-5.6 P-4ESect-5.6 P-5ESect-5.6 P-6ESect-5.6 P-7ESect-5.6 P-8ESect-5.6 P-9ESect-5.6 P-10ESect-5.6 P-11ESect-5.6 P-12ESect-5.6 P-13ESect-5.6 P-14ESect-5.6 P-15ESect-5.6 P-16ESect-5.6 P-17ESect-5.6 P-18ESect-5.6 P-19ESect-5.6 P-20ESect-5.6 P-21ESect-5.6 P-22ESect-5.6 P-23ESect-5.6 P-24ESect-5.6 P-25ESect-5.6 P-26ESect-5.6 P-27ESect-5.6 P-28ESect-5.6 P-29ESect-5.6 P-30ESect-5.6 P-31ESect-5.6 P-32ESect-5.6 P-33ESect-5.6 P-34ESect-5.6 P-35ESect-5.6 P-36ESect-5.6 P-37ESect-5.6 P-38ESect-5.6 P-39ESect-5.6 P-40ESect-5.CR P-1CRSect-5.CR P-2CRSect-5.CR P-3CRSect-5.CR P-4CRSect-5.CR P-5CRSect-5.CR P-6CRSect-5.CR P-7CRSect-5.CR P-8CRSect-5.CR P-9CRSect-5.CR P-10CRSect-5.CR P-11CRSect-5.CR P-12CRSect-5.CR P-13CRSect-5.CR P-14CRSect-5.CR P-15CRSect-5.CR P-16CRSect-5.CR P-17CRSect-5.CR P-18CRSect-5.CR P-19CRSect-5.CR P-20CRSect-5.CR P-21CRSect-5.CR P-22CRSect-5.CR P-23CRSect-5.CR P-24CRSect-5.CR P-25CRSect-5.CR P-26CRSect-5.CR P-27CRSect-5.CR P-28CRSect-5.CR P-29CRSect-5.CR P-30CRSect-5.CR P-31CRSect-5.CR P-32CRSect-5.CR P-33CRSect-5.CR P-34CRSect-5.CR P-35CRSect-5.CR P-36CRSect-5.CR P-37CRSect-5.CR P-38CRSect-5.CR P-39CRSect-5.CR P-40CRSect-5.CR P-41CRSect-5.CR P-42CRSect-5.CT P-1CTSect-5.CT P-2CTSect-5.CT P-3CTSect-5.CT P-4CTSect-5.CT P-5CTSect-5.CT P-6CTSect-5.CT P-7CTSect-5.CT P-8CTSect-5.CT P-9CTSect-5.CT P-10CTSect-5.CT P-11CTSect-5.CT P-12CTSect-5.CT P-13CTSect-5.CT P-14CTSect-5.CT P-15CTSect-5.CT P-16CTSect-5.CT P-17CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

What does the Squeeze Theorem say?

Single Variable Calculus

In Exercises 33-38, rewrite the expression using positive exponents only. 36. x19x3

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Solve each equation. x3+8=0

Trigonometry (MindTap Course List)

5. Find .

Mathematical Applications for the Management, Life, and Social Sciences

Draw the graph of each equation: y=13x4

Elementary Technical Mathematics

Differentiate the function. F(z)=A+Bz+Cz2z2

Single Variable Calculus: Early Transcendentals

True or False: If F is conservative, then curl F = 0.

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: x2+1x3dx may be solved using a trigonometric substitution.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th