1. Select the postulate or theorem that could be used to prove ∆QRT = ∆STR.
http://i.imgur.com/duGGOBu.png
A. ASA Congruence Postulate
B. SSS Congruence Postulate
C. HL Congruence Theorem
D. SAS Congruence Postulate
2. What is the measure of angle X?
http://i.imgur.com/wiT6dOo.png
A. 180°
B. 30°
C. 60°
D. Not enough information given
3. What postulate or theorem can be used to prove that ∆ABD = ∆CBD?
http://i.imgur.com/u9Upl8y.png
A. ASA
B. AAS
C. HL
D. SAS
http://i.imgur.com/duGGOBu.png
A. ASA Congruence Postulate
B. SSS Congruence Postulate
C. HL Congruence Theorem
D. SAS Congruence Postulate
2. What is the measure of angle X?
http://i.imgur.com/wiT6dOo.png
A. 180°
B. 30°
C. 60°
D. Not enough information given
3. What postulate or theorem can be used to prove that ∆ABD = ∆CBD?
http://i.imgur.com/u9Upl8y.png
A. ASA
B. AAS
C. HL
D. SAS
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1. SAS since in both triangles 2 sides are same one side is common and 2 angles are equal alternate angles
2.Equilateral triangle hence 60 degree
3.SAS as AB=CB, one side is common (BD) and angle ABD=angle CBD as ABC angle is bisected.. Plz give me 10 points thanks !!
2.Equilateral triangle hence 60 degree
3.SAS as AB=CB, one side is common (BD) and angle ABD=angle CBD as ABC angle is bisected.. Plz give me 10 points thanks !!
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SAS
60
SAS
60
SAS
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1 is D. Each of the two triangles has an angle equal, as well as the two sides which include it (one side is given as equal and the other is common to both triangles).
2 is C. Every angle of an equilateral triangle is 60 degrees (180/3, as the angle sum of a triangle is 180 degrees, and all angles are equal.)
3 is D. If BD bisects angle ABC, then angle ABD is equal to angle CBD. We also know that the two sides including those angle are equal (one is given to be equal and the other is common to both triangles).
Hope this helps.
2 is C. Every angle of an equilateral triangle is 60 degrees (180/3, as the angle sum of a triangle is 180 degrees, and all angles are equal.)
3 is D. If BD bisects angle ABC, then angle ABD is equal to angle CBD. We also know that the two sides including those angle are equal (one is given to be equal and the other is common to both triangles).
Hope this helps.