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On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1).

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

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

Triangles W X Z and Y Z X share common side X Z. Angles W X Z and X Z Y are right angles. The lengths of sides W X and Z Y are 21 centimeters.

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?
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 ?

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
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 J K L is shown. Lines are drawn from each point to the opposite side and intersect at point P. Line segments J O, K M, and L N are created.

Triangle ABC has the angle measures shown.





Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.

Given: HF || JK; HG ≅ JGProve: FHG ≅ KJG





In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?
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