Test Name: 2019 Semester 1 Midterm Review GuideTest ID: 1090649Date: 10/07/2019

1. Which word describes lines that form right angles when they intersect?

A. perpendicular

B. vertical

C. parallel

D. acute

2. If MN↔

is the perpendicular bisector of JL then what is the measure ∠JKM

A. 45°

B. 90°

C. 135°

D. 180°

3. When two perpendicular lines meet, they form an angle with a measure of ____.

A. 30°

B. 45°

C. 60°

D. 90°

4. If two lines intersect to form right angles, how are the lines related?

A. The lines are parallel.

B. The lines are perpendicular.

C. The lines are supplementary.

D. The lines are complementary.

5. Read the directions for a geometric construction.

1. Start with a circle with the center given.2. Mark a point anywhere on the circle.3. Place the compass needle on the created point and set the width of the compass to measure the distance between that point and the center of the circle.4. Keep the compass needle on the point and draw an arc intersecting the circle.5. Move the compass to the intersection of the circle and the arc and draw another arc intersecting the circle.6. Continue until there are six points of intersection between the given circle and the constructed arcs.7. Connect every other point of intersection.

This construction will result in which type of geometric construction?

A. a circle inscribed in an equilateral triangle

B. an equilateral triangle inscribed in a circle

C. a circle inscribed in a regular hexagon

D. a regular hexagon inscribed in a circle

6. A student followed the given steps below to complete a construction given a line segment.

Step 1: Place the compass on one endpoint of the line segment.Step 2: Extend the compass from the chosen endpoint so that the width of the compass is more than half the distance between the two points.Step 3: Without changing the compass width, draw an arc on each side of the line segment.Step 4: Without changing the compass width, repeat the process from Step 3 on the other endpoint of the line segment, making sure that the two new arcs intersect the first two arcs that were constructed.Step 5: Plot a point on the intersection of the two arcs on each side of the line segment.Step 6: Use a straightedge to draw a line between the two points.

Which type of construction is best represented by the steps given above?

A. perpendicular bisector of a line segment

B. angle congruent to a given angle

C. parallel line through a point not on the given line

D. bisector of an angle

7. In the diagram, which construction is being demonstrated?

A. The first two marks for constructing an altitude.

B. The first two marks for constructing an isosceles triangle.

C. The first two marks for constructing an equilateral triangle.

D. The first two marks for constructing a perpendicular bisector.

8. A student has the following drawing on his paper.

Based on the marks on the drawing, which construction is the student most likely trying to complete?

A. a segment parallel to PQ

B. a segment congruent to PQ

C. a perpendicular bisector of PQ

D. an equilateral triangle with Side Length PQ

9. Which special segment of a triangle best describes XW in the triangle below?

A. angle bisector

B. median

C. altitude

D. perpendicular bisector

10. Which statement about Circle A is true?

A. The radius of Circle A is BC

B. The radius of Circle A is DE

C. The radius of Circle A is AB

D. The radius of Circle A is EB

11. Consider this definition.

A circle is the set of all points in a plane at a certain distance, its radius, from a certain point, its center.

Which of the following words in the definition is an undefined term used in geometry?

A. point

B. radius

C. center

D. distance

12. What relationship between JK and LM can be determined from the figure below?

A. JK⊥ LM

B. JK ∥LM

C. JK≅ LM

D. JK∼LM

13. What is the slope of a line parallel to the line represented by the equation below?

y=34x+5

A. −43

B. −34

C. 34

D. 43

14. Select the equation that represent the line parallel to y = 6x + 2.

A. y=−16

x+7

B. y=6x−12

C. 6 y=−x−1

D. y=3 x+2

15. Select the equation that represent the line perpendicular to y = 2 x − 4.

A. y=12x−7

B. x + 2 y = 3

C. y=−12

x+5

D. 3 y = 6 x + 5

16. Select the answer from the list below.

The line y = 5x + 2 is _________ the line y=−15

x−4 .

A. Parallel to

B. Perpendicular to

C. Congruent to

D. Neither parallel nor perpendicular to

17. Which coordinates best represent the midpoint of the line segment graphed below?

A. (2 ,−1)

B. (2,0)

C. (2,0.5)

D. (2 ,−0.5)

18. Warren drew a rectangle on a coordinate grid.

Which statement is true about the area and perimeter of Warren’s rectangle?

A. The area is 22 square inches, and the perimeter is 30 inches.

B. The area is 30 square inches, and the perimeter is 30 inches.

C. The area is 30 square inches, and the perimeter is 22 inches.

D. The area is 22 square inches, and the perimeter is 22 inches.

19. A trapezoid is shown in the coordinate plane. What is the perimeter?

A. 14.2B. 19C. 21. 9D. 25.7

20. Based on the diagram below, which statement could be used to prove ∠1≅∠2

A. Vertical angles are congruent.

B. Supplementary angles are congruent.

C. Complementary angles are congruent.

D. Two angles that form a linear pair are congruent.

21. Which of the following describe two angles that have a sum of 90°?

A. complementary angles

B. supplementary angles

C. straight angles

D. a linear pair

22. Which term describes the relationship ∠ A∧∠B if the m∠ A=84 and m∠B=96

A. vertical

B. adjacent

C. supplementary

D. complementary

23. Lines a and b are parallel.

Which term best describes ∠5 and ∠6

A. supplementary angles

B. corresponding angles

C. complementary angles

D. interior angles

24. In the figure, Line t intersects parallel Lines m and n.

Which two angles named below are vertical angles in the figure?

A. ∠1∧∠2

B. ∠2∧∠3

C. ∠7∧∠1

D. ∠8∧∠2

25. In the figure, ∠1 and ∠2 are referred to as what types of angles?

A. adjacent angles

B. vertical angles

C. alternate interior angles

D. alternate exterior angles

26. In the figure below, ∠PQR and ∠TQS are vertical angles.

What is the value of x?

A. 16

B. 32

C. 48

D. 66

27. In the figure below, lines l and m are parallel, and lines s and t are transversals through l and m.

Which statement is true about the angles formed by these lines?

A. Angles 3 and 6 are vertical angles.

B. Angles 2 and 11 are corresponding angles.

C. Angles 4 and 14 are alternate interior angles.

D. Angles 7 and 14 are complementary angles.

28. At an airport, runways 12L and 12R are parallel and are intersected by a third runway.

Mike calculated the value of x to be 115°. Which statement justifies Mike’s calculations?

A. Adjacent angles formed by perpendicular lines are complementary.

B. Alternate exterior angles are congruent.

C. Consecutive interior angles are supplementary.

D. Vertical angles are congruent.

29. Which conclusion of the following statement must always be true?

“If angle 1 and angle 2 are alternate interior angles of parallel lines cut by a transversal, then”

A. angle 1 and angle 2 are supplementary.

B. angle 1 and angle 2 are complementary.

C. angle 1 and angle 2 are a linear pair.

D. angle 1 is congruent to angle 2.

30. Andrew cut a rectangular piece of wood along a straight line, as shown below.

Andrew calculated that x = 70º. Which of the following statements justifies Andrew’s calculations?

A. Vertical angles are congruent.

B. Alternate exterior angles are congruent.

C. Consecutive interior angles are supplementary.

D. Adjacent angles formed by perpendicular lines are complementary.

31. In the figure below, BC is parallel to AD

Which of these statements MUST always be true?

A. m∠1=m∠2

B. m∠1=m∠3

C. m∠1+m∠2=¿ 180

D. m∠1+m∠3=m∠2+m∠ 4

32. Angle ZWY and Angle XWY are congruent.

Which term best describes line segment WY?

A. perpendicular bisector

B. angle bisector

C. hypotenuse

D. midpoint

33. What does a linear pair form?

A. an acute angle

B. a right angle

C. an obtuse angle

D. a straight angle

34. Which picture shows a reflection over the y-axis?

A. B.

C. D.

35. Emily drew her initial on the coordinate plane below.

Which graph shows the reflection of Emily’s initial over the y-axis?

A. B.

C. D.

36. Which term best describes the transformation from Figure A to Figure B?

A. reflection

B. dilation

C. rotation

D. translation

37. Which transformation of a figure will create an image that is not congruent to the original figure?

A. Dilation by a factor of 7

B. y=x

C. Translation by 5 units to the left on the x-axis

D. Rotation by 180º

38. Which set of transformations will map Figure STUVW onto Figure MNPQR?

A. a reflection across the y-axis, and then a reflection across the x-axis

B. a translation of 10 units down, and then a reflection across the y-axis

C. a 90° counterclockwise rotation about the origin, and then a reflection across the y-axis

D. a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis

39. Figure RSTU is congruent to figure WXYZ.

Which set of transformations on figure RSTU must result in figure WXYZ?

A. a 180° clockwise rotation about the origin

B. a translation 6 units down and then a reflection across the y-axis

C. a reflection across the x-axis and then a reflection across the y-axis

D. a 90° clockwise rotation about the origin and then a reflection across the x-axis

40. TriangleJKL was translated to create ∆ J ' K ' L' as shown in the following graph.

Which statement describes the translation of △ JKL

A. (x , y )→ (x+2 , y−8)

B. (x , y )→ (x−2 , y−8)

C. (x , y )→ (x+2 , y−3)

D. (x , y )→ (x−2 , y+3)

41. Consider the figure below.

What are the coordinates of Point S after a dilation with the center at the origin and a

scale factor of 12

A. (2−1)

B. (4−2)

C. (8−4 )

D. (16−8)

42. Triangle ABC is dilated about the origin with a scale factor of 3.

A' B' C' what will be the coordinates of B'

A. (−12 ,−15)

B. (−8 ,−10)

C. (−3,9)

D. (−2 ,−52)

43. Which transformation could have been applied to △WXY to obtain △W'X'Y'?

A. reflection across the y-axis

B. reflection across the liney=−x

C. clockwise rotation of 90º about the origin

D. counterclockwise rotation of 90º about the origin

44. Which transformation is represented by the pair of figures below?

A. a 180º rotation

B. a translation downward

C. a reflection over the vertical line

D. a reflection over the horizontal line

45. Which statement describes how to slide Figure 1 onto Figure 2?

A. Move Figure 1 to the right 9 units and up 16 units.

B. Move Figure 1 to the right 16 units and up 9 units.

C. Move Figure 2 to the right 9 units and up 16 units.

D. Move Figure 2 to the right 16 units and up 9 units.

46. How is the translation from Rectangle PQRS to Rectangle WXYZ described?

A. 8 units right, 5 units down

B. 2 units right, 5 units down

C. 8 units right, 9 units down

D. 2 units right, 9 units down

47. Which statement identifies congruent segments?

A. AB≅ CB

B. CB≅ EF

C. BF ≅ AG

D. EF ≅DE

48. Which measure of a would make the two figures congruent?

A. 2.1 cm

B. 2.3 cm

C. 2.5 cm

D. 3.0 cm

49. The figures shown are congruent.

Which point in the second figure corresponds to Point B?

A. W

B. R

C. S

D. T

50. Triangles MNO and RST are shown.

Which theorem could be used to prove that △MNO ≅△RST

A. Angle-Side-Angle (ASA)

B. Side-Angle-Side (SAS)

C. Side-Side-Angle (SSA)

D. Side-Side-Side (SSS)

51. Brooke wants to prove that in the figure shown, △PQT is congruent to△RQS by the Side–Angle–Side Postulate.

In Brooke’s proof, which statement would give the justification to show the included angles are congruent?

A. Right angles are congruent.

B. Vertical angles are congruent.

C. Alternate interior angles are congruent.

D. Alternate exterior angles are congruent.

52. A proof is shown on the right.

Given: LM ∥PQ andMT ≅ TP

Prove:△ LMT ≅△QPT

STATEMENT REASON

1.LM ∥PQ ,MT ≅TP 1. Given2.∠MLT ≅∠PQT 2. Alternate Interior Angles Theorem3.∠LTM ≅∠QTP 3. __________4.∠LMT ≅∠QTP 4. Angle-Side-Angle Theorem

Which reason is justification for statement 3?

A. Angle Bisector Theorem

B. Vertical Angles Theorem

C. definition of congruent angles

D. definition of congruent triangles

53. Triangles ABC and XYZ are shown below.

Which statement does not provide enough information to conclude that the triangles are congruent?

A. Corresponding sides of both triangles are congruent.

B. Corresponding angles of both triangles are congruent.

C. Two pairs of adjacent sides and the angles in between are congruent.

D. Two pairs of adjacent angles and the sides in between are congruent.

54. Triangle ABC is congruent to triangle XYZ, as shown below.

Which of the following statements must be true?

A. m∠ X=45°

B. m∠Z=45°

C. YZ=3cm

D. XY =3cm

55. Which pair of triangles is similar?

A.

B.

C.

D.

56. The two triangles shown below are similar.

What is the length of x in inches?

A. 3.3

B. 7.5

C. 19.2

D. 28

57. Look at the diagram below.

If BE ∥CD , which pair of triangles is similar?

A. △BDE∧△CDE

B. △ ACE∧△ ABD

C. △ ABE∧△ ACD

D. △ ABE∧△BCD

58. Based only on the given information, which pair of triangles can be proven similar using the Side-Angle-Side Similarity Postulate?

A. B.

C. D.

59. Triangle ABC is shown.

Which triangle is similar to Triangle ABC?

A. B.

C. D.

60. Two triangles are shown below.

Based on the graph, which statement appears to be true?

A. △ ABC △ ZXY because ∠B≅∠Y and ∠C≅∠ X .

B. △ ABC △ ZYX because ∠B≅∠Y and ∠C≅∠ X .

C. △ ABC △ ZXY because ∠B≅∠X and ∠C≅∠Y .

D. △ ABC △ ZYX because ∠B≅∠X and ∠C≅∠Y .

61. In the triangle below, the measure of ∠B is missing.

What is the measure of ∠B

A. 33°

B. 55°

C. 125°

D. 180°

62. How many degrees is the sum of the angle measures of all triangles?

A. 45°

B. 90°

C. 180°

D. 360°

63. Triangle RST is shown below.

hat is the measure, in degrees, of ∠T

A. 35

B. 60

C. 70

D. 105

64. The three angles of a triangular sail have a sum of 180°. The largest angle measures 90° and the smallest angle measures x°. In degrees, which expression shows the measure of the third angle?

A. 180 + 90 + x

B. 180 + 90 – x

C. 180 – 90 + x

D. 180 – 90 – x

65. Angle P in Triangle PQR has the same measure as Angle S in Triangle STU. Which other condition is necessary to prove that these triangles are similar?

A. Side PQ has twice the measure of Side ST.

B. Side PQ has the same measure as Side ST.

C. Angle P has the same measure as Angle R.

D. Angle Q has the same measure as Angle T.

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