Quiz about Geometry EOY 1st Semester Review

Question 1

Which pair of triangles can be proven congruent?

Accepted Answer

None of these

Answer

A.

Answer

B.

Answer

C.

Answer

All of these

Question 2

$$\overline{CD}$$ has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of $$\overline{CD}$$ ?

Accepted Answer

14.4 units

Answer

20.4 units

Answer

8.9 units

Answer

11.7 units

Answer

None of these

Question 3

If the dimensions of trapezoid JKLM are multiplied by a scale factor of f to create trapezoid J'K'L'M', which statement is true?

Accepted Answer

The longer base of trapezoid J'K'L'M' is 56f units.

Answer

Trapezoid J'K'L'M' contains two base angles measuring $$30\degree$$ each.

Answer

The bases of trapezoid J'K'L'M' have lengths of 22 units and 39 units.

Answer

Trapezoid J'K'L'M' contains two base angles measuring $$\left(120f\right)\degree$$ each.

Answer

None of these

Question 4

Based on this information, which statement cannot be proven true?

Accepted Answer

$$\angle AA$$

Answer

$$ABCD\sim A$$

Answer

$$\frac{AF}{A$$

Answer

$$\angle BCD\cong B$$

Answer

All of these are true

Question 5

Which of the following is closest to the distance between P and Q?

Accepted Answer

45.3 feet

Answer

22.6 feet

Answer

55.4 feet

Answer

18.5 feet

Answer

None of these

Question 6

For triangles ABC and DEF, $$\angle A\cong\angle D$$ and $$\angle B\cong\angle E.\ $$ Based on this statement, which is a reasonable conclusion?

Accepted Answer

$$\angle C\cong\angle F$$ because they are corresponding angles of similar triangles.

Answer

$$\angle C\cong\angle D$$ because they are corresponding angles of congruent triangles.

Answer

$$\overline{CA}\cong\overline{FD}$$ because they are corresponding parts of congruent triangles.

Answer

$$\overline{AB}\cong\overline{DE}$$ because they are corresponding parts of similar triangles.

Answer

All of these are true

Question 7

Five spheres are being painted for a display at a store. If the diameter of each sphere is 7 centimeters, which value is closest to the total surface area that will be painted?

Accepted Answer

$$770\ cm^2$$

Answer

$$154\ cm^2$$

Answer

$$192\ cm^2$$

Answer

$$440\ cm^2$$

Answer

None of these

Question 8

The distance between 10th street and Main Street along Highway 1 is 5.6 mi. Which measure is closest to the length of Main Street from Highway 1 to 10th Street?

Accepted Answer

8.7 mi

Answer

3.6 mi

Answer

4.7 mi

Answer

7.3 mi

Answer

None of these

Question 9

Based on this information, which of the following can be proved true?

Accepted Answer

Option B is correct

Answer

$$m\angle ZUY=m\angle ZVY$$

Answer

C.

Answer

D.

Answer

None of these

Question 10

Which of the following best describes this statement?

Accepted Answer

This statement is false because the third interior angle can be acute, right or obtuse.

Answer

This statement is true because all obtuse triangles have two acute interior angles.

Answer

This statement is false because the third interior angle must also be acute.

Answer

This statement is true because a triangle can have at most one interior obtuse angle.

Question 11

The equation of a line containing one leg of a right triangle is y = -4x. Which of the following equations could represent the line containing the other leg of this triangle?

Accepted Answer

$$y\ =\ \frac{1}{4}x\ +\ 2$$

Answer

$$y=-\frac{1}{4}x$$

Answer

$$y\ =\ 4x$$

Answer

$$y\ =\ -4x\ +\ 2$$

Answer

All of these

Question 12

The side length of a smaller square is one-third the length of a larger square. Which of the following statements describes the area of the smaller square?

Accepted Answer

The area of the smaller square is $$\frac{1}{9}$$ the area of the larger square.

Answer

The area of the smaller square is $$\frac{1}{27}$$ the area of the larger square.

Answer

The area of the smaller square is $$\frac{1}{6}$$ the area of the larger square.

Answer

The area of the smaller square is $$\frac{1}{3}$$ the area of the larger square.

Answer

None of these

Question 13

If the pattern continues, which expression can be used to find the total number of dots in Figure n?

Accepted Answer

3n - 1

Answer

3n - 5

Answer

2n + 2

Answer

2n + 3

Answer

None of these

Question 14

If $$a\ =12\ \sqrt[]{3}$$ cm, $$b\ =\ 18$$ cm, the side length of the larger hexagon is 24 cm and the side length of the smaller hexagon is $$12\ \sqrt[]{3}$$ , what is the total area of the shaded regions?

Accepted Answer

$$216\ \sqrt[]{3}cm^2$$

Answer

$$648\ \sqrt[]{3}cm^2$$

Answer

$$36\ \sqrt[]{3}cm^2$$

Answer

$$1512\ \sqrt[]{3}cm^2$$

Question 15

If the pattern in the table continues, which statement is true?

Accepted Answer

The product of the number of sides in the polygon and the measure of each exterior angle is a constant.

Answer

As the number of sides in the polygon increases by 1, the measure of each exterior angle decreases by 25%.

Answer

The measure of each exterior angle is a multiple of 6 degrees.

Answer

If the number of sides in the polygon is even, the measure of each exterior angle is a multiple of 3 degrees.

Answer

All of these are true.

Question 16

What is ST?

Accepted Answer

24 in

Answer

33 in

Answer

$$\sqrt[]{464}\ in$$

Answer

$$\sqrt[]{361}\ in$$

Answer

None of these

Question 17

What side length of a square provides a counterexample to the given statement?

Accepted Answer

2 units

Answer

6 units

Answer

4 units

Answer

10 units

Answer

None of these

Question 18

Which of the following is closest to the distance that the tip of the hand travels as it moves from the 12 to the 3?

Accepted Answer

16 cm

Answer

79 cm

Answer

21 cm

Answer

63 cm

Question 19

A plane intersects a cylinder. Which of the following cannot be formed by this intersection?

Accepted Answer

Triangle

Answer

Line Segment

Answer

Rectangle

Answer

Circle

Answer

All of these can be formed

Question 20

Which equation best describes a line parallel to line g that has a y-intercept of (0, -1)

Accepted Answer

$$y\ =\ -\frac{1}{2}x\ -\ 1$$

Answer

$$y\ =\ 2x\ -\ 1$$

Answer

$$y\ =\ \frac{1}{2}x\ -\ 1$$

Answer

$$y\ =\ -2x\ -\ 1$$

Question 21

Question 21.

Accepted Answer

$$19 an\left(20\degree ight)$$

Answer

$$19\cos\left(20\degree\right)$$

Answer

$$19\sin\left(70\degree\right)$$

Answer

$$19 an\left(70\degree ight)$$

Question 22

Based on this information, which statement must be true?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

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