Free Printable Geometry TN Ready Review 4-21-22

1.

$\Delta ABC\sim\Delta DEF$ . What is the $m\angle E$ ?

a)

$35\degree$

b)

$55\degree$

c)

$59\degree$

d)

$66\degree$

2.

Jaquan claims tat two triangles are similar. One triangle has angles measuring $26\degree$ and $35\degree$ . The other triangle has angles measuring $119\degree$ and $26\degree$ . Is Jaquan correct, and why?

a)

Yes. The triangles are similar by the SAS postulate.

b)

Yes. The triangles are similar by the AA postulate.

c)

No. The triangles are not similar because they have only equal angles.

d)

No. The triangles are not similar because they have no similar side lengths.

3.

Hadi is practicing bank shots on a 6 foot x 12 foot pool table shown in the diagram. He places the cue ball, W, 2 feet away from the West Wall and 1 foot away from the South Wall. Hadi attempts to bank his shot off the East Wall at point X to sink the ball in the top center pocket, Y, as labeled in the diagram. If $\angle YXZ\cong\angle WXV$ , approximately how far, in feet, from the North Wall is point X?

a)

1.75 feet

b)

1.85 feet

c)

1.88 feet

d)

1.95 feet

4.

A right triangle has legs equal to 11.6 units and 8.5 units. If $\theta$ is the smallest angle of the triangle, which relationship is true?

a)

$\tan\left(\theta\right)=\frac{11.6}{8.5}$

b)

$\tan\left(\theta\right)=\frac{8.5}{11.6}$

c)

$\sin\left(\theta\right)=\frac{11.6}{8.5}$

d)

$\sin\left(\theta\right)=\frac{8.5}{11.6}$

5.

Triangle MNQ is dilated by a scale factor of 2, with the center of dilation at the origin, to produce triangle $M'N'Q'$ . Select ALL statements that are TRUE.

a)

NQ is parallel to $N'Q'$

b)

MN is perpendicular to $N'Q'$

c)

MN and $M'N'$ are collinear

d)

MQ is parallel to $M'Q'$

6.

Consider the figure with line QL parallel to line PM. Which two proportions can be used to prove triangle KQL is similar to triangle KPM?

a)

$\frac{KQ}{KL}=\frac{LM}{QP}$

b)

$\frac{KQ}{KL}=\frac{QP}{LM}$

c)

$\frac{QL}{KP}=\frac{KL}{KM}$

d)

$\frac{QL}{KP}=\frac{PM}{LM}$

e)

$\frac{QP}{KQ}=\frac{LM}{KL}$

7.

Consider the expression $\cos\left(50\degree\right)$ . Which expression is equivalent to the given expression?

a)

$\cos\left(40\degree\right)$

b)

$\sin\left(40\degree\right)$

c)

$\sin\left(50\degree\right)$

d)

$\tan\left(90\degree\right)$

8.

Hector is driving his car and comes to a roundabout, circling a fountain. He enters the roundabout at point F and exits at point G. Which best describes the distance he travels on the roundabout, and why?

a)

The distance the car travels is the distance along the straight line from point F to G because the shortest distance between 2 points is a straight line.

b)

The distance the car travels is the circumference of the circular roundabout because he is driving on the exterior of a circle.

c)

The distance the car travels is the distance along the arc of a circle because he is driving around a portion on the exterior of the circle, from point F to point G.

d)

The distance the car travels is the area of the circular roundabout because he is driving on the interior of a circle

9.

Given the graph, which rule maps figure 1 onto figure 2?

a)

$\left(x,y\right)\rightarrow\left(x-5,\ y-11\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x-5,\ y+11\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x+5,\ y-11\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x+5,\ y+11\right)$

10.

In the figure show, $\overline{PT}$ is the tangent to the circle O. What is the value of k?

(a)

11.

Consider triangle LTE and triangle DRY. A series of reflections maps triangle LTE onto triangle DRY. What is the length of $\overline{DY}$ ?

(a)

12.

Consider the figure, where $\overline{QR}$ is the midsegment of triangle MPN. Which two statements must be true?

a)

$\overline{MQ}\cong\overline{NR}$

b)

$\overline{MQ}\cong\overline{QP}$

c)

$\overline{QP}\cong\overline{RP}$

d)

$QR=\frac{1}{2}\cdot MN$

e)

$QR=\frac{1}{2}\cdot MP$

13.

Consider rectangle RSTU. What is the length of VS, in units?

(a)

14.

Which two statements are always true?

a)

A diagonal of parallelogram creates two congruent triangles.

b)

Adjacent angles of a parallelogram are congruent.

c)

All parallelograms are rectangles.

d)

Diagonals of a parallelogram bisect each other.

e)

Opposite angles of a parallelogram are supplementary.

15.

A student makes a construction using a compass and a straightedge, as shown in the diagram. Which construction is represented in the diagram?

a)

a line perpendicular to JL

b)

a line perpendicular to JM

c)

the bisector of $\angle MJL$

d)

the perpendicular bisector of JL

Geometry TN Ready Review 4-21-22

Total questions: 15

Worksheet time: 12mins

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