Quiz about Drawing and Identifying Geometric Elements

Question 1

Look at the graph.

Which two lines are parallel?

Accepted Answer

$$\overline{EF}\ and\ \overline{GH}$$

Answer

$$\overline{AB}\ and\ \overline{CD}$$

Answer

$$\overline{CD}\ and\ \overline{GH}$$

Answer

$$\overline{AB}\ and\ \overline{EF}$$

Question 2

Which dotted line segment correctly represents the

perpendicular bisector of line segment XY?

Accepted Answer

$$\overline{AB}$$

Answer

$$\overline{CD}$$

Answer

$$\overline{TW}$$

Answer

$$\overline{GF}$$

Question 3

Look at the construction. The construction represents the steps in constructing a -

Accepted Answer

line perpendicular to $$\overline{BC}^{ }$$ through point A

Answer

line segment congruent to $$\overline{AB}$$

Answer

line segment congruent to $$\overline{BC}$$

Answer

line parallel to $$\overline{BC}$$ through point A

Question 4

Construct a line parallel to line p through point T. Which point lies on the parallel line with point T?

Accepted Answer

Point B

Answer

Point X

Answer

Point R

Answer

Point D

Question 5

Statement: If two lines are parallel, then they have the same slope.

What is the converse of the statement?

Accepted Answer

If two lines have the same slope, then they are parallel.

Answer

If two lines are not parallel, then they do not have the same slope.

Answer

If two lines do not have the same slope, then they are not parallel.

Answer

If two lines are not parallel, then they have the same slope.

Question 6

Let a = Opposite sides of a quadrilateral are parallel.
Let b = The quadrilateral is a parallelogram.
Let c = Diagonals of a parallelogram bisect one another.
Argument:
If opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.
If a quadrilateral is a parallelogram, then the diagonals bisect one another.
Therefore, if opposite sides of a quadrilateral are parallel, then the diagonals bisect one another.

Which of the following is the symbolic representation of the given segment?

Accepted Answer

$$a ightarrow b$$
$$b ightarrow c$$
$$ herefore a\longrightarrow c$$

Answer

$$a ightarrow b$$
$$c$$
$$ herefore a\longrightarrow c$$

Answer

$$a ightarrow b$$
$$c ightarrow b$$
$$ herefore a\longrightarrow b$$

Answer

$$a ightarrow b$$
$$c ightarrow b$$
$$ herefore a\longrightarrow c$$

Question 7

Look at $$\Delta XYZ$$ . Which list has the sides of $$\Delta XYZ$$ ordered from longest to shortest?

Accepted Answer

$$\overline{ZX},\ \overline{YZ},\ \overline{XY}$$

Answer

$$\overline{XY},\ \overline{ZY},\ \overline{ZX}$$

Answer

$$\overline{ZX},\ \overline{YX},\ \overline{ZY}$$

Answer

$$\overline{ZY},\ \overline{XZ},\ \overline{XY}$$

Question 8

A mailbox and post is shown. The mailbox supports create $$\Delta FGH$$ . Given the lengths of the triangle, which statement is true about the measures of the angles of $$\Delta FGH.$$

Accepted Answer

$$m\angle G$$ is the smallest.

Answer

$$m\angle H$$ is the largest.

Answer

$$m\angle G$$ is the largest.

Answer

$$m\angle F$$ is the smallest.

Question 9

Look at the sketch of a dancer. The positioning of her arms creates a triangle shown. Which of the following could possibly be the side lengths of the triangle formed?

Accepted Answer

24 in, 31 in, 11 in

Answer

23 in, 29 in, 6 in

Answer

33 in, 24 in, 8 in

Answer

39 in, 26 in, 13 in

Question 10

A triangular garden is constructed. The length of one side is seven feet and the second side is five feet long. Identify each value that could NOT be the length of the third side of the garden.

Accepted Answer

2 ft

Accepted Answer

12 ft

Accepted Answer

13 ft

Answer

3 ft

Answer

10 ft

Question 11

Coordinates R(1,5), S(6,-1), T(1,-4) are connected to form $$\Delta RST.$$ If $$\Delta RST$$ is congruent to $$\Delta RWT,$$ what are the coordinates of W?

Accepted Answer

Answer

Answer

Answer

Question 12

Look at the triangle shown. What value of x makes $$\Delta GTB\cong\Delta HAR?$$

Accepted Answer

Answer

Answer

Answer

Question 13

Question 13.

Accepted Answer

Right angles are congruent.

Accepted Answer

Reflexive Property

Accepted Answer

Side-Angle-Side Postulate

Answer

Angle-Angle Postulate

Answer

Vertical angles are congruent.

Question 14

Look at the triangles. Which pair of triangels are similar?

Accepted Answer

$$\Delta ADH\sim\Delta BGF$$

Answer

$$\Delta KCM\sim\Delta BFG$$

Answer

$$\Delta AHD\sim\Delta KCM$$

Answer

$$\Delta JRP\sim\Delta FGB$$

Question 15

Look at the image. If triangle RST is similar to triangle CAB,

which could be the coordinates of point C?

Accepted Answer

(3,1)

Answer

(-2,1)

Answer

(-2,0)

Answer

(3,0)

Question 16

Given $$\Delta FTW\sim\Delta RQB.$$ What is the measure of $$\angle B?$$

Accepted Answer

$$50\degree$$

Answer

$$16\degree$$

Answer

$$26\degree$$

Answer

$$66\degree$$

Question 17

Question 17.

Accepted Answer

A: 20, B: 24, C: 27, D: 21

Answer

A: 20, B: 21, C: 24, D: 27

Answer

A: 24, B: 27, C: 20, D: 21

Answer

A: 20, B: 24, C: 21, D: 27

Question 18

Look at the figure. What is the value of x?

Accepted Answer

Answer

Answer

$$4\sqrt{2}$$

Answer

$$8\sqrt{3}$$

Question 19

Look at the triangle shown. Rounded to the nearest whole number, the perimeter of the triangle is ----

Accepted Answer

45

Answer

43

Answer

47

Answer

49

Question 20

If the measure of each exterior angle of a regular polygon is six degrees, how many sides does the polygon have?

Accepted Answer

60

Answer

62

Answer

174

Answer

180

Question 21

Look at the image. What is the length of arc DFC?

Accepted Answer

Answer

Answer

Answer

Question 22

Circle A has a center at (2,5) and a radius of 6. Which point is on circle A?

Accepted Answer

(-4,5)

Answer

(5,8)

Answer

(2,1)

Answer

(8,11)

Question 23

A circle has a diameter with the endpoints at (-7,-7) and (-1,1). What is the equation of the circle?

Accepted Answer

$$\left(x+4\right)^2+\left(y+3\right)^2=25$$

Answer

$$\left(x+4\right)^2+\left(y+3\right)^2=10$$

Answer

$$\left(x-4\right)^2+\left(y-3\right)^2=25$$

Answer

$$\left(x-4\right)^2+\left(y-3\right)^2=5$$

Question 24

A bottle filled with scented oil and is made of a half cylindrical shaped based with a cylindrical pouring spout. If the container is filled to the top with oil, approximately how much space is available for the oil?

Accepted Answer

$$68.5\pi$$ cu in

Answer

$$64\pi$$ cu in

Answer

$$80\pi$$ cu in

Answer

$$90.5\pi$$ cu in

Question 25

A cone has a slant height of 51 centimeters and a lateral area of 1,224 $$\pi$$ square centimeters. What is the surface area of the cone?

Accepted Answer

$$1,800\pi\ cm^2$$

Answer

$$576\pi\ cm^2$$

Answer

$$1,248\pi\ cm^2$$

Answer

$$8,640\pi\ cm^2$$

Question 26

A candle is shown with similar surfaces at the top and bottom. The perimeter of the top opening is 16 inches. The ratio of the side lengths of the top to bottom is 2:3, what is the value of x?

Accepted Answer

6 in

Answer

4 in

Answer

8 in

Answer

12 in

Question 27

Look at the images. If the ratio of the surface areas for similar Cones A and B is 49:9, what is the slant height of Cone B?

Accepted Answer

6 in

Answer

2 in

Answer

3 in

Answer

7 in

Question 28

Line h contains the points (3,0) and (0,4). Which point lies on a line that is perpendicularto line h and passes through point F?

Accepted Answer

(6,4)

Answer

(-3,1)

Answer

(3,0)

Answer

(6,2)

Question 29

Look at the parallelogram. The parallelogram has what type of symmetry?

Accepted Answer

Point symmetry only

Answer

Line symmetry only

Answer

Both point and line symmetry

Answer

Neither point nor line symmetry

Question 30

Look at the polygons. Which transformation could move polygon A to polygon A'?

Accepted Answer

180 degree rotation about the origin

Answer

reflection over x = 1

Answer

translation of 4 units right and 8 units down

Answer

reflection over y = 1

Question 31

Look at the diagram. What is the value of x?

Accepted Answer

28

Answer

31

Answer

59

Answer

62

Question 32

In which group of statements is the conclusion justified by the previous pair of statements?

Accepted Answer

All students are invited to the school dance.

The boy is a student.

The boy is invited to the school dance.

Answer

All brown things are soft.

Stuffed bears are soft.

All stuffed bears are brown.

Answer

Pizza is good for a person.

All protein is good for a person.

Pizza has protein in it.

Answer

All snakes have scales.

All of the girl's pets have scales.

All of the girl's pets are snakes.

Question 33

Look at the construction. The construction represents the beginning steps in constructing a ---

Accepted Answer

an equilateral triangle in a circle

Answer

a square inscribed in a circle

Answer

a regular octagon inscribed in a circle

Answer

a regular pentagon inscribed in a circle

Question 34

Look at the construction. The construction represents the beginning steps in constructing a ---

Accepted Answer

line perpendicular to line MT through point P

Answer

line parallel to line MT

Answer

line segment congruent to line segment MP

Answer

line that bisects line segment PT

Drawing and Identifying Geometric Elements

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