Geometry

CH. 7 Right Triangles and Trigonometry

Ch. 8 Quadrilaterals

Ch. 10 Circles

SometimesAlways Never

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Question 1 - 10

Find the geometric mean of 9 and 4

Answer 1 – 10

6

Question 1 - 20

Is √3, √4, √7 a Pythagorean triple

Answer 1 – 20

NO, because Pythagorean triples need to be whole numbers!

Question 1 - 30

• What is the pattern for a 45-45-90 triangle?• What is the pattern for 30-60-90

triangle?

Answer 1 – 30

45 45 90n n n√2

30 60 90n n√3 2n

Question 1 - 40

Solve for x. Round to the nearest hundredth.

37

35

12

xo

Answer 1 – 40

You can use the inverse function of the trigonometric ratios.

SOHCAHTOA

sin-1 = cos-1 = tan-1 = 18.92

Question 1 - 50

Solve for x.

6 x

60o

Answer 1 – 50

4√3

Question 2 - 10

Definition of a parallelogram.

Answer 2 – 10

A quadrilateral with parallel opposite sides.

Question 2 - 20

The interior angle sum formula for any convex polygon is?

Answer 2 – 20

S=180(n-2)

Question 2 - 30

The sum of exterior angles in any convex polygon is?

Answer 2 – 30

360o

Question 2 - 40

Determine if the quadrilateral is a parallelogram

<

<

Answer 2 – 40

No, because the parallel side needs to be congruent as well.

Question 2 - 50

The definition of a trapezoid?

Answer 2 – 50

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Question 3 - 10

An angle with its vertex as the center of a circle.

Answer 3 – 10

Central angle

Question 3 - 20

The definition of a tangent line

Answer 3 – 20

A Line that intersects the circle exactly at one point (P.O.T). The tangent line is also perpendicular to the radius of the circle.

Question 3 - 30

What is the equation of a circle?

Answer 3 – 30

𝑟2=(𝑥−h)2+(𝑦−𝑘)2

Question 3 - 40

The radius of a circle is 20 centimeters. Find the circumference. Need the exact answer!

Answer 3 – 40

40π cm

Question 3 - 50

• Write an equation of a circle with a center at ( 5, -2) with a diameter of 10.

Answer 3 – 50

25=(𝑥−5)2+(𝑦+2)2

Question 4 - 10

A Rectangle is _______ a parallelogram

Answer 4 – 10

Always

Question 4 - 20

A Rhombus is ________ a square.

Answer 4 – 20

Sometimes

Question 4 - 30

A square is _______ a rectangle.

Answer 4 – 30

Always

Question 4 - 40

A quadrilateral is ________ a parallelogram

Answer 4 – 40

Sometimes

Question 4 - 50

A square is _________ a rhombus and a rectangle

Answer 4 – 50

Always

Question 5 - 10

• What are the properties of a parallelogram.

Answer 5 – 10

1. Both pairs of opp. sides are parallel and ≅2. Both pairs of opp. angles are ≅3. Consecutive angles are supplementary.4. Diagonals bisect each other

Question 5 - 20

Given the trapezoid below find the length of the median.

16

25

Answer 5 – 20

20.5 unit

Question 5 - 30

A regular pentagon is inscribed in a circle. What is the measure of one arc.

Answer 5 – 30

72o

Question 5 - 40

• Definition of a secant.

Answer 5 – 40

A line that intersects a circle in exactly two points.

Question 5 - 50

This person is famous for leading an expedition to the south pole on December 14, 1911.

Answer 5 – 50

Who is Roald Amundsen