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





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

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

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2.25.
To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .





Lines e and f are intersected by line a. At the intersection of lines a and e, the bottom right angle is 72 degrees. At the intersection of lines a and f, the uppercase right angle is 108 degrees.

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5).

Which pair of triangles can be proven congruent by the HL theorem?




Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.
Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).
Triangles D E F and D prime E prime F prime are connected at point E. Triangle D E F is rotated about point E to form triangle D prime E prime F prime.

Which pair of triangles can be proven congruent by SAS?




Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Which graph shows a dilation?




Triangle ABC will be dilated according to the rule(x,y), where point F is the center of dilation.

Which part of the proof does the fourth statement and reason represent?Given: AB ≅ BCBC ≅ EF Prove: EG = AB + FG

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.

Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.





Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.



Which points are vertices of the pre-image, rectangle ABCD? Select four options.
Which statements are true? Select two options.
Triangle MRN is created when an equilateral triangle is folded in half.



On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).

Did you find these answers helpful?