91Ó°ÊÓ

M, N and T are the midpoints of the sides of $\mathrm{Δ}\text{XYZ}$.

If $\text{TN}=7$, then$\text{XY}=\underset{¯}{?}$

Quadrilateral WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.

$\stackrel{¯}{WX}â‰\dots \stackrel{¯}{YZ},\stackrel{¯}{XY}â‰\dots \stackrel{¯}{ZW}$and$\text{diag.}\stackrel{¯}{WY}â‰\dots \text{diag.}\stackrel{¯}{XZ}$

Complete the following statement with the word always, sometimes, or never.

A rhombus is ___ a square.

Write the converse of following conditional statement.

If you are a member of the skiing club, then you enjoy winter weather.

Plot the given points and draw quad$ABCD$and its diagonals. Also RUN the program above, inputting the given coordinates for the vertices. Then tell which of the following statement are true for the quad$ABCD$.

I. Quad$ABCD$is a parallelogram.

II. Both pairs of opposite sides are congruent.

III. All sides are congruent.

IV. The diagonals are congruent.

V. The diagonals are perpendicular.

VI. The sides from four right angles.

a.$A\left(4,−1\right),B\left(−2,−1\right)C\left(−2,2\right),D\left(4,2\right)$

b.$A\left(−5,0\right),B\left(−3,4\right)C\left(5,0\right),D\left(3,−4\right)$

Given: Rectangle $\text{QRST}$; $â–\pm \text{RKST}$;

Prove: $\mathrm{Δ}\text{QSK}$is isosceles.

For the following figure, given that $ABCD$is a trapezoid with median $\stackrel{¯}{MN}$.

If $DC=6,AB=16$then find $ME,FN,EF$.

Given: $â–\pm \mathrm{JQKS};\stackrel{¯}{PJ}â‰\dots \stackrel{¯}{RK}$, Prove: $∠\mathrm{P}â‰\dots ∠\mathrm{R}$.

Given: ;$\mathbf{WP}\mathbf{=}\mathbf{ZP}$ .

Prove:$∠\mathbf{WXY}â‰\dots ∠\mathbf{ZYX}$ .

For the following figure, given that $ABCD$is a trapezoid with median $\stackrel{¯}{MN}$.

Prove that $EF=\frac{1}{2}\left(AB−DC\right)$.