{"id":19763,"date":"2022-12-01T10:00:33","date_gmt":"2022-12-01T04:30:33","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=19763"},"modified":"2022-12-02T09:20:57","modified_gmt":"2022-12-02T03:50:57","slug":"math-labs-activity-verify-quadrilateral-formed-joining-midpoints","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/math-labs-activity-verify-quadrilateral-formed-joining-midpoints\/","title":{"rendered":"Math Labs with Activity – Verify that the Quadrilateral Formed by Joining the Midpoints"},"content":{"rendered":"
OBJECTIVE<\/strong><\/span><\/p>\n To verify that the quadrilateral formed by joining the midpoints of the sides of a quadrilateral is a parallelogram<\/p>\n Materials Required<\/strong><\/span><\/p>\n Procedure<\/strong> <\/span> Observations<\/strong><\/span> Result<\/strong><\/span> Math Labs with Activity<\/a>Math Labs<\/a>Math Lab Manual<\/a>Science Labs<\/a>Science Practical Skills<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Math Labs with Activity – Verify that the Quadrilateral Formed by Joining the Midpoints OBJECTIVE To verify that the quadrilateral formed by joining the midpoints of the sides of a quadrilateral is a parallelogram Materials Required A sheet of white paper A sheet of glazed paper A geometry box A pair of scissors Procedure Step […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[6805],"tags":[],"yoast_head":"\n\n
\nStep 1:<\/strong> Draw any quadrilateral ABCD on the white paper. Fold the paper so that point A falls on the point B. Make a crease and unfold the paper. Mark the point P where the line of fold cuts the side AB. Then, P is the midpoint of side AB of the quadrilateral. Similarly, find the midpoints Q, R and S of the sides BC, CD and DA respectively.
\nStep 2:<\/strong> Join the points P, Q, R and S to form the quadrilateral PQRS as shown in Figure 23.1.
\n
\nStep 3:<\/strong> Make an exact copy of the quadrilateral PQRS on the glazed paper. Draw a diagonal by joining the points S and Q as shown in Figure 23.2.
\n
\nStep 4:<\/strong> Cut \u0394PQS. Rotate and place it over the \u0394SQR as shown in Figure 23.3.
\n<\/p>\n
\n\u0394PQS exactly covers \u0394SQR.
\nTherefore, \u0394PQS is congruent to \u0394SQR and so, PQ = SR and PS = QR, i. e., two pairs of opposite sides are equal.
\nHence, PQRS is a parallelogram.<\/p>\n
\nThe quadrilateral formed by joining the midpoints of the sides of a quadrilateral is a parallelogram.<\/p>\n