Congruent Figures Answers

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.

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

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?

In the triangles, and .

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

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

Triangle XYZ is isosceles. Angle Y measures a°.

Triangle KNM is shown.

In which figure is point G a centroid?

Point X is the circumcenter of ΔABC.What is the length of XB?

Point Z is the incenter of ΔSRT.

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3.

Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.

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

Point Z is the circumcenter of ΔLMN.

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

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

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.