Lesson 3 Slippery Slopes Solidify Understanding

Ready

Solve for the indicated variable.

1.

Solve for: $θ$

Formula: $s = r θ$

2.

Solve for: $h$

Formula: $V = π r^{2} h$

3.

Solve for: $r$

Formula: $V = π r^{2} h$

4.

Solve for: $b$

Formula: $a^{2} + b^{2} = c^{2}$

5.

Solve for: $x$

Formula: $36 = r x + k x$

6.

Solve for: $x$

Formula: $65 - 2 x = 20 + w x$

7.

Solve for: $n$

Formula: $\tan A = \frac{z}{n}$

8.

Solve for: $c$

Formula: $E = m c^{2}$

9.

Solve for: $v$

Formula: $a = \frac{v^{2}}{r}$

10.

Solve for: $m$

Formula: $K = \frac{1}{2} m v^{2}$

Set

Complete the mathematical statements about the kite using the given symbols. Show that the statement is true.

(A symbol may be used more than once.)

$≅$ , $⊥$ , $∥$ , $<$ , $>$ , $=$

11.

$B C$ $D C$

Proof:

12.

$\overset{―}{B D}$ $\overset{―}{A C}$

Proof:

13.

$A B$ $B C$

Proof:

14.

$△ A B C$ $△ A D C$

Proof:

15.

$B E$ $E D$

Proof:

16.

$A E$ $E C$

Proof:

17.

$A C$ $B D$

Proof:

Go

Use the given information to write the equation of the line in standard form.

18.

Slope: $- \frac{1}{4}$

Point: $(12, 5)$

19.

$P (11, - 3)$ , $Q (6, 2)$

20.

$x$ -intercept: $- 2$

$y$ -intercept: $- 3$

21.

All $x$ values are $(- 7)$ . $y$ is any number.

22.

Slope: $\frac{1}{2}$

$x$ -intercept: $5$

23.

$E (- 10, 17)$ , $G (13, 17)$