Test — Test Answers

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

Which statements regarding the diagram of ΔEBC are true? Select three options.

If triangle RST is an acute triangle, then m∠S must be

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.

Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.

Triangle Q R S is shown with exterior angles. Line R Q extends through point D. Line Q R extends through point E. Line Q S extends through point C.

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

A triangle with exterior angles is shown. A horizontal line intersects with a diagonal line. Another line connects the horizontal line to the diagonal line to form a triangle. The exterior angle at the top left of the triangle is 130 degrees. The exterior angle at the top right of the triangle is x degrees. The exterior angle at the bottom of the triangle is 134 degrees.

For a craft project, four students each chose three pieces of wire from a box.Don’s wires measure 3 inches, 5 inches, and 12 inches.Margo’s wires measure 6 inches, 8 inches, and 14 inches.Sonji’s wires measure 12 inches, 8 inches, and 17 inches.Liam’s wires measure 16 inches, 8 inches, and 27 inches.

Which statements are always true regarding the diagram? Select three options.

Triangle A B C is shown. Side A B has a length of 12. Side B C has a length of x. Side A C has a length of 15.

A triangle is shown with a line extending from the bottom left point

Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be

Triangle X Y Z is shown. Line Z X is extended through point W to form exterior angle W X Y.