Download Geometry| Quiz 3| Quadrilaterals and Coordinate Proofs Name Date

Geometry| Quiz 3| Quadrilaterals and Coordinate Proofs Name ________________ Date____________ MAFS.912.G-­‐CO.3.11 Use the figure on the right and match the correct reasons for the following proof. Given: EFGH is a Parallelogram Prove: Δ HEG ≅ Δ FGE Statements Reasons EFGH is a Parallelogram Given 1. !HG ≅ FE , !EH ≅ GF 2. < EHG ≅ < GFE Side-­‐Angle-­‐Side Postulate Δ HEG ≅ Δ FGE A. Opposite sides of a parallelogram are parallel. B. Opposite sides of a parallelogram are congruent C. The diagonals of a parallelogram bisect each other. D. The diagonals of a parallelogram are angle bisectors of the opposite angles. E. Opposite angles of a parallelogram are congruent. MAFS.912.G-­‐GPE.2.4 3. F is the vertex of isosceles ∆ 𝐸𝐹𝐺, with base . If E has a coordinate (-­‐2,1) and G has a coordinate (2, -­‐3), what is a possible coordinate for point F? Choose True or False for each coordinate. A. (2, 1) True False B. (1, 2) True False C. (-­‐1, -­‐2) True False D. (-­‐2, -­‐1) True False 4. If rectangle BIKE has coordinates B (-­‐2,3), I (-­‐3,0), K (3,-­‐2), what would be the coordinate of point E? A. (4, 1) B. (1, 4) C. (-­‐1, -­‐4) D. (4, -­‐1) MAFS.912.G-­‐GPE.2.5 Figure ABCD is graphed in a coordinate plane with A (1,-­‐1), B (2,-­‐3), C (5,-­‐1), D (4,1). 5. Using the figure at the left, choose True or False for each statement. Slope of = -­‐2 True False !𝟏
Slope of = 𝟐 True False Slope of Slope of =𝟑 𝟐
True False 𝟐
=𝟑 True False 6. Using figure ABCD, select all statements that are True. A.
∥ B.
∥ C.
⊥ D.
⊥ E.
⊥ F.
≅ G.
≅
MAFS.912.G-­‐GPE.2.7 7. What is the perimeter of the triangle below? Round the nearest tenth. 8. What is the area of the triangle below?