The following practice questions ask you to apply the midpoint and slope formulas to prove different facts about two different quadrilaterals. c d bar, comma and E F ¯ e f bar are concurrent. Coordinate geometry proofs require an understanding of the properties of shapes such as triangles, quadrilaterals, and other polygons. ∠ A angle eh is the supplement of ∠ B. Part 1 The Quadrilateral Family Tree Directions: Answer each question as True or False on the line provided.A B ¯ eh b bar and C D ¯ c d bar bisect each other.A B + B C = A C eh b plus b c equals eh c.∠ A ≅ ∠ B angle, eh approximately equal to, angle b.A B ¯ ⊥ C D ¯ eh b bar, up tack, c d bar.How do you verify if the angles between are 90 degrees or some other. A B ¯ ∥ C D ¯ eh b bar, parallel to, c d bar You verify the distances between the sides are the same by using the distance formula.A B ¯ ≅ C D ¯ eh b bar, approximately equal to, c d bar.True Prove: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Tell whether you can reach each type of conclusion below using coordinate methods. In proving statements using the coordinate method, the placement of the figure can simplify the algebraic work. p n bar, approximately equal to, r m bar. Prove: P N ¯ ≅ R M ¯ p n bar, approximately equal to, r m bar Given: Δ PQR cap delta with P Q ¯ ≅ R Q ¯, p q bar, approximately equal to, r q bar, comma M is the midpoint of P Q ¯, p q bar, comma N is the midpoint of R Q ¯ r q bar The medians drawn to the congruent sides of an isosceles triangle are congruent. e g bar, approximately equal to, f h bar. Prove: E G ¯ ≅ F H ¯ e g bar, approximately equal to, f h bar Given: Trapezoid EFGH with E F ¯ ≅ G H ¯ e f bar, approximately equal to, g h bar The diagonals of an isosceles trapezoid are congruent. What is the error?ĭeveloping Proof Complete the following coordinate proofs. Reasoning Describe a good strategy for placing the vertices of a rhombus for a coordinate proof.Įrror Analysis Your classmate places a trapezoid on the coordinate plane. ![]() ![]()
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