H Fill in the missing statement and reason of the proof below. Given: AB BC and E is the midpoint of AC. Prove: BAD ZBCD. Step Statement Reason AB BC 1 Given E is the midpoint of AC AE EC A midpoint divides a segment into two congruent segments BE BE Reflexive Property AABE ACBE SSS LABE CBE Corresponding Parts of Congruent Triangles are Congruent (CPCTC) BD BD Reflexive Property Corresponding Parts of Congruent Triangles are Congruent (CPOTC) C E 2 3 4 5 6 7 8 Type of Statement ZBAD BCD

H Fill in the missing statement and reason of the proof below. Given: AB BC and E is the midpoint of AC. Prove: BAD ZBCD. Step Statement Reason AB BC 1 Given E is the midpoint of AC AE EC A midpoint divides a segment into two congruent segments BE BE Reflexive Property AABE ACBE SSS LABE CBE Corresponding Parts of Congruent Triangles are Congruent (CPCTC) BD BD Reflexive Property Corresponding Parts of Congruent Triangles are Congruent (CPOTC) C E 2 3 4 5 6 7 8 Type of Statement ZBAD BCD

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.1: Congruent Triangles

Problem 8E: a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of...

See similar textbooks

Similar questions

a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?
Quadrilateral ABCD has AB-DC- and AD-BC-. Using intuition, what type of quadrilateral is ABCD?
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
5. With congruent parts marked, are the two triangles congruent? a ABC and DAC b RSM and WVM
3. State the reason SSS, SAS, ASA, AAS, or HL why The triangles are congruent. Note the marks that indicate congruent parts. a RVSRTS b XMWMYZ
Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.
a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.
Given: B is the midpoint of AC BDAC Prove: ADC is isosceles
a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of corresponding parts that are congruent. b. Suppose you wish to prove that RWTSWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent.
In quadrilateral ABCD, AC and BD are perpendicular bisectors of each other. Name all triangles that are congruent to: a ABE b ABC c ABD
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.
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.