Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°.

Which rules could describe the rotation? Select two options.
On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).

Which pair of triangles can be proven congruent by SAS?





Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Triangle DEF was tranformed to create triangle D'E'F'. Complete the statement about the transformation.

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1).



Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees.

Two parallel lines are crossed by a transversal.

Triangle ABC has the angle measures shown.





Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
Given: g ∥ h and ∠2 ≅ ∠3Prove: e ∥ f Statements Reasons1.g || h1.given2.∠1 ≅ ∠22.corresponding angles theorm3.∠2 ≅ ∠33.given4.∠1 ≅ ∠34.transitive property5.e || f5.?What is the missing reason in the proof?

Consider the triangle shown.





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A regular decagon has 10 sides.

On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2).

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

Given: and g is a transversalProve:

Polygon LMNOP was transformed to create polygon L'M'N'O'P'.





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