Part III (3 pts) For cach of the property statement below, determine which geometry would BEST xhoi given property (choose only one!). Please use A. for Euclidean geometry, B. for hypere geometry, gcometry and D. for Neutral geometry for your identifications Example. A There is a triangle in which the sum of the measures of the interior angles is 180. a. The opposite sides of a parallelogram are congruent. b. Similar triangles may not be congruent. Lines perpendicular to the...
prove this theorem Theorem 10.25. Every parallelogram has the following properties. (a) Each diagonal cuts it into a pair of congruent triangles. (b) Both pairs of opposite sides are congruent. (C) Both pairs of opposite angles are congruent. (d) Its diagonals bisect each other.
Determine whether a figure with the given vertices is a parallelogram. Use the method indicated. A(4.5), B(-7, -10), C(-4,-9), D(7,6); Distance and Slope Formulas Yes: The opposite sides are congruent and have the same slope. No: The opposite sides have the same slope. No; The opposite sides are congruent and have the same slope. Yes, The opposite sides have the same slope.
prove the following 1) 2) 3) 4)A parallelogram is a square iff it's diagonals are perpendicular and congruent. 5) the median of a trapeziod is parallel to each base 3.7) Corollary (Parallel CT). Let l, and l be coplanar lines and I a transversal. a. (Property C) 4 | l, if and only if a pair of interior angles on the same side of t are supplementary b. (Property T) Ift 1 l and 41 || 12, then t 1...
A B C Parallelogram ABCD contains two congruent triangles. In two or more complete sentences, use the triangles to prove opposite sides are congruent in parallelogram ABCD
Please write your answer clearly on this paper in the spaces provided; identify each statement as true( T) or false( F): Making a conjecture from your observations is called inductive reasoning. The 25th term in the -2, 4, -6, 8, -10,...) sequence is-42 1.( 2.) 3.() A polygon with 7 sides is called a septagon 4.( Ifa polygon is equiangular, then it is equilateral. 5. The complement of an acute angle is an obtuse angle. 6. An angle bisector in...
QUESTION 1 Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x. 15 15 18.75 7.5 2 points QUESTION 2 Determine whether parallelogram JKLM with vertices J(-1, 1), K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or all three. rhombus square rectangle rhombus, square and rectangle 2 points QUESTION 3 In rectangle JKLM, JK is equal to 12 feet, and LN is equal...
Which statement is NOT true about the histogram? a. The histogram is always a normal distribution. b. The histogram can show the shape of your data set. c. The histogram is a visual picture of variability. d. The histogram is sometimes referred to as a frequency distribution.
Which statement about friction and normal force is true? a. Kinetic friction is always in the direction of the normal force. b. Static and kinetic friction do not depend on the normal force. c. Static and kinetic friction forces are linearly related to the normal force. d. Static friction is always in the direction of the normal force.
4. The sides of a parallelogram are 14 feet and 10 feet. The longer diagonal CB is 18 feet, find the length of the shorter diagonal. Step 1: Diagram (scale) Step 2: Use the Law of Cosines in CAB to determine <CAB A 14 feet 0 10 feet Step 3: Calculate <ACD and <ABD (opposite angles of a parallelogram are equal) [Hint: Adjacent angles in a Parallelogram are supplementary.] Step 4: Connect AD, the shorter diagonal Step 5: Use the...