Trapezoids and Kites HW

Name the legs of trapezoid PQRS.

Name two pairs of congruent angles.

Name a pair of congruent segments.

If AX = 4, then CD = (a)   .

If m∠ABC = 110°, then m∠BAD = (a)   .

If m∠BAD = 65°, then m∠CDA = (a)   .

If m∠DCB = 105°, then m∠DAB = (a)   .

Trapezoid ABCD. Show all work. EF is a midsegment. m∠B is three times m∠C. Find m∠B and m∠C. (Hint: Let m∠C = x°).

If m∠A = (2x)°, m∠D = (x - 12)°, m∠B = y° and m∠C = (y - 70)°, find measures of all four angles.

Refer to kite PQRS with PQ = QR = 10, PR = 16, RS = 12. TR = _____.

Refer to kite PQRS with PQ = QR = 10, PR = 16, RS = 12. QT = _____.

Refer to kite PQRS with PQ = QR = 10, PR = 16, RS = 12. TS = _____ (Simplest Radical form).

Refer to kite PQRS with PQ = QR = 10, PR = 16, RS = 12. QS = _____ (rounded to nearest hundredth).

If m∠QRT = 40°, then m∠PQR = _____.

If m∠PSR = 30°, then m∠TRS = _____.

Refer to kite WXYZ. m∠VYZ = _____.

Refer to kite WXYZ. m∠XWZ = _____.

Refer to kite WXYZ. m∠VXY = _____.

Refer to kite WXYZ. m∠WXY = _____.

Refer to kite WXYZ. m∠WZY = _____.