For the top question fill in the blanks, for the bottom select: congruent equilateral, similar equilateral, congruent isosceles, and similar isosceles. (Fill in blanks) select: transitive, symmetric or reflective. Select: ASA, SAS, AAA, SSS. Thank you!

Image transcriptions

Find x. Complete the explanation. 108 By the definition of supplementary angles, the base angles of the top isosceles triangle have a measure of .Therefore, the measure of the vertex angle is |by the Triangle Sum Theorem. The base angles of the bottom isosceles triangle will also have a measure of |by the Vertical Angles Theorem. Thus, x, which is the bottom isosceles triangle's vertex angle, will equal Isosceles right triangle ABC has a right angle at B and AB ~ CB. BD bisects angle B, and point D is on AC. IfBD J. AC, describe triangles ABD and CBD. Complete the explanation. The triangles are |(select) triangles; the bisected right angle results in two angles, and the perpendicular segments result in two angles, so angles A and C also measure p. Since BD = BD by the (select) v Property, then triangles ABD and CBD are congruent by the (select) v Triangle Congruence Theorem.

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