Triangle Congruence: SSS and HL — Unit test Answers

Triangle ABC is rotated to create the image A'B'C'.

Triangles J K L and X Y Z are shown. Angles K J L and Y X Z are right angles. The length of Y X is 10. The length of hypotenuse K L is 10.

Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise.

Triangles D E F and G H J are congruent. Triangle D E F is shifted down and to the right to form triangle G H J.

On a coordinate plane, 2 rectangles are shown. Rectangle P Q R S has points (1, 1), (1, 5), (3, 5), (1, 5). Rectangle P double-prime Q double-prime R double-prime S double-prime has points (negative 1, negative 1), (negative 5, negative 1), (negative 5, negative 3), (negative 1, negative 3).

A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(–4, 4), S'(–4, 1), P'(–3, 1), and Q'(–3, 4). What is the location of Q?

On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant.

Three quadrilaterals exist such that GHJK ≅ ASDF and GHJK ≅ VBNM.If MV measures 3 cm, which other segment must measure 3 cm?

The proof that MNG ≅ KJG is shown.Given: N and J are right angles; NG ≅ JGProve: MNG ≅ KJG

The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'.

Triangles L O A and L A M share side L A. Angles O L A and A L M are congruent.

The function rule T–4, 6(x, y) could be used to describe which translation?

Which pair of triangles can be proven congruent by SAS?

Right triangle LMN has vertices L(7, –3), M(7, –8), andN(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Triangles Q R S and A B C are shown. The lengths of sides Q R and A B are 16 centimeters. The lengths of sides R S and B C are 24 centimeters. Angles Q R S and A B C are right angles. Sides Q S and A C are parallel and identical to each other and there is space in between the 2 triangles.

In ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles?

Triangles H J K and L M N are shown. The triangles have identical side lengths and angle measures. Triangle H J K is slightly lower and to the left of triangle L M N. Triangle H J K is reflected to form triangle L M N.

The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN.

Quadrilateral L M N O is reflected over a line to form quadrilateral C D A B.

The triangles are congruent by the SSS congruence theorem.