Consider
a) How are
b) How are
To Find:
The relation between
Answer to Problem 1CT
Solution:
Explanation of Solution
Given parallelogram,
From the property opposite angles in a parallelogram are congruent.
Since ABCD is a parallelogram,
The Final statement:
To Find:
The relation between
Answer to Problem 1CT
Solution:
Explanation of Solution
Given parallelogram,
From the property consecutive angles in a parallelogram are supplementary.
Since ABCD is a parallelogram,
The Final statement:
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Chapter 4 Solutions
Elementary Geometry for College Students
- In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the reason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. ABCAEDarrow_forwardIn Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the mason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. MNPMQParrow_forwardGiven that AB=AC in triangle ABC, use intuition to draw a conclusion regarding mABC and mACB.arrow_forward
- Consider ABC and ABD in the figure shown. By the reason Identity, AA and ABAB. a. If BCBC, can you prove that ABCABD? b. If yes for part a, by what reason are the triangles congruent?arrow_forwardIn Exercise 1 to 10, classify each statement as true or false. DAACarrow_forwardSuppose that ABCDEF. Also, AX bisects CAB and DY bisects FDE. Are these corresponding angle bisectors of congruent triangles congruent? Exercises 35, 36arrow_forward
- In Exercises 9 to 12, congruent parts are indicated by like dashes sides or arcs angles. State which method SSS, SAS. ASA, or AAS would be used to prove the two triangles congruent.arrow_forwardIf HandJ are supplementary in HJKL, are KandL necessarily supplementary also?arrow_forwardIn Exercises 35 and 36, complete each proof using the drawing below. Given:31 Prove:ABAC PROOF Statements Reasons 1. 31 1. ? 2. ? 2. If two lines intersect, the vertical s formed are 3. ? 3. Transitive Property of Congruence 4. ? 4. ?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning