Can the two triangles be proved congruent? If so, what postulate can beúsed?4.5.6.7.8.9.

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 3E: a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?

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Similar questions

HA hypotenuse-angle is also a valid method for proving that two right triangles are congruent a Given that AD and ABDE in the right triangles shown, can HA be used to verify that ABCDEF? b Name another method SSS, SAS. etc. that can be used to verify that these triangles are congruent.
Which of the following statements would you prove by the indirect method? a If ACAB in ABC, then mBmC. b If AC=AB in ABC, then mB=mC. c If RSTV is not a square, then RSST. d An angle has exactly one bisector.
In a right triangle, the sides that form the right angle are the legs; the longest side opposite the right angle is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that?
5. With congruent parts marked, are the two triangles congruent? a ABC and DAC b RSM and WVM
In ABC and DEF, you know that AD, CF, and ABDE. Before concluding that the triangles are congruent by ASA, you need to show that BE. State the postulate or theorem that allows you to confirm this statement (BE).
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. ABCAED
The Segment-Addition Postulate can be generalized as follows: The length of a line segment equals the sum of the length of its parts. State a general conclusion regarding AE based on the following figure.
Which of the following statements would you prove by the indirect method? a In triangle ABC, if mAmB, then ACBC. b If alternate exterior 1 alternate exterior 8, then l is not parallel to m. c If (x+2)(x3)=0, then x=2orx=3. d If two sides of a triangle are congruent, the two angles opposite these sides are also congruent. e The perpendicular bisector of a line segment is unique.
a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?
In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?
In Exercise 3 and 4, supply statements. Given: 12 and 23 Prove: 13 PROOF Statements Reasons 1. ? 1. Given 2. ? 2. Transitive Property of Congruence
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 mason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. MNPMQP

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Can the two triangles be proved congruent? If so, what postulate can be úsed? 4. 5. 6. 7. 8. 9.