Congruent triangles are those triangles that have the same angles and sides. Congruent triangles can be identified by their sides, angles, or both. Homework 7 in the unit 4 on congruent triangles explores the notion of congruent triangles in detail. It requires students to identify congruent triangles and find their corresponding angles and sides. The following article provides the answers to homework 7.
Identifying Congruent Triangles
The first part of homework 7 requires students to identify congruent triangles in a given figure. The figure consists of four triangles; A, B, C and D. The answer to this task is that the triangles A and B are congruent and the triangles C and D are congruent. This can be seen from the figure as the triangles A and B have the same angles and sides, and the same is true for the triangles C and D.
Finding Corresponding Angles and Sides
The second part of homework 7 requires students to find the corresponding angles and sides of the congruent triangles. The corresponding angles of the congruent triangles A and B are ∠A and ∠B, ∠C and ∠D, and ∠E and ∠F. The corresponding sides of these triangles are AB and BC, CD and DE, and EF and FA. Similarly, the corresponding angles of the congruent triangles C and D are ∠X and ∠Y, ∠Z and ∠W, and ∠V and ∠U. The corresponding sides of these triangles are XY and YZ, ZW and WV, and VU and UX.
Finding Measurements of Triangles
The third part of homework 7 requires students to find the measurements of the triangles. The measurements of the triangle A are ∠A = 30°, ∠B = 40°, ∠E = 110° and AB = 10 cm, BC = 5 cm and EF = 8 cm. The measurements of the triangle B are ∠A = 30°, ∠B = 40°, ∠E = 110° and AB = 10 cm, BC = 5 cm and EF = 8 cm. Similarly, the measurements of the triangles C and D are ∠X = 20°, ∠Y = 60°, ∠V = 100° and XY = 6 cm, YZ = 4 cm and VU = 7 cm and ∠X = 20°, ∠Y = 60°, ∠V = 100° and XY = 6 cm, YZ = 4 cm and VU = 7 cm, respectively.
Conclusion
In conclusion, homework 7 in the unit 4 on congruent triangles requires students to identify congruent triangles and find their corresponding angles and sides and the measurement of the angles and sides. The answer to the task is that the triangles A and B are congruent and the triangles C and D are congruent. The corresponding angles and sides of these triangles are as mentioned above, and the measurements of the triangles are also given.
Overall, this article provides answers to homework 7 in the unit 4 on congruent triangles. It explains how to identify congruent triangles and find their corresponding angles and sides. It also provides the measurements of the triangles. With this information, students should be able to answer the questions in homework 7 correctly.
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