Geometry I guess

What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 58°?

64°

Which overlapping triangles are congruent by ASA?

(triangle) ADC = (triangle) EBC

Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

Yes (triangle) ACB = (triangle) ACD

Two sides of an equilateral triangle have lengths 3x - 3 and 3x - 3. Which of 21 - x or 4x - 3could be the length of the third side?

21 - x only

The legs of an isosceles triangle have lengths 3x+4, 2x+10. The base has length 6x-1. What is the length of the base?

35

Use the information in the figure. Find m<D

43°

What is the measure of a base angle of an isosceles triangle if the vertex angle measures 48° and the two congruent sides each measure 21 units?

66°

In an A-frame house, the two congruent sides extend from the ground to form a 32° angle at the peak. What angle does each side form with the ground?

74

What additional information will allow you to prove the triangles congruent by the HL Theorem?

AC = DC

BE is the bisector of <ABC and CD is the bisector of <ACB. Also, <XBA = <YCA. Which of AAS, SSS, SAS, or ASA would you use to help you prove BL = CM?

ASA

YX is a perpendicular bisector to WZ at X between W and Z. <ZWY = <WZY By which of the five congruence statements, HL, AAS, ASA, SAS, and SSS, can you conclude that (triangle) WXY = (triangle) ZXY

HL and AAS

Supply the reasons missing from the proof shown below. Given:AB = AC, <BAD = <CAD Prove: AD bisects BC

SAS; CPCTC

Find the value of x. The diagram is not to scale.

x = 21

Find the values of x and y.

x = 90, y = 42