7.01 Graded Assignment_ Geometry Semester A - Part 2 - Graded Assignment Geometry Semester A Part 2 Skyla Jones Ms Dykstra Geometry 1 Write a

# 7.01 Graded Assignment_ Geometry Semester A - Part 2 -...

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Graded Assignment: Geometry Semester A - Part 2 Skyla Jones Ms. Dykstra Geometry December 23, 2020 1. Write a two-column proof for the following conjecture. You may not need to use all of the rows of the two-column table provided below. You may also add additional rows if needed. Given: Prove: parallelogram ABCD triangle A and B are supplementary. triangle B and C are supplementary. Answer: Statement Reason Parallelogram ABCD Given AB||DC and AD||BC Opposite sides of a parallelogram are equal ∠A and ∠B are same side interior angles and ∠B and ∠C are same side interior angles. Definition of parallelogram m∠A+m∠B=180° and m∠B+m∠C=180° Same side angles of a parallelogram are of 180° ∠A and ∠B are supplementary and ∠B and ∠C are supplementary Definition of supplementary angles.
Graded Assignment: Geometry Semester A - Part 2 Skyla Jones Ms. Dykstra Geometry December 23, 2020 2. Using a straightedge and compass, construct the perpendicular bisector of FG Answer:
Graded Assignment: Geometry Semester A - Part 2 Skyla Jones Ms. Dykstra Geometry December 23, 2020 3. Use the following image to answer the questions. (a) How are the triangles similar? Justify your answer with a theorem or postulate. (b) What is the value of x? Show your work Answer: (a.) In this problem, the triangles presented are congruent. Using the AAA (angle-angle-angle) theorem of similarity, we can prove this. This states that if a triangle's three angles are equal, then the triangle's sides are proportional. The three angles of these triangles are considered to be the same, since the picture shows angle A = angle P, and angle B = angle Q, thus angle C = angle R. (b.) (3x + 6)/24 = 28/32 3x + 6 = (28/32) (24) 3x = 21 - 6 x = 15/3 x = 5