Post Test: Coordinate Geometry (22/24 correct)

The endpoints of GH are G(14,3) and H(10,-6). What is the midpoint of GH?

(12, -3/2)

Select the correct answer. The coordinates of point J are (-7,2), and the midpoint of JK― is at L(3,5). What are the coordinates of point K?

(13,8)

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?

(2, -1)

Segment AB, shown below, is divided into 5 equal parts. Point A is located at (-6,7), and point D is located at (-2,3). What are the coordinates of point F?

(2, -1)

What is the area of this triangle?

A = 1/2 (y2 - y1) (x3 - x1)

Two points located on JK⟷ are J(1,-4) and K(-2,8). What is the slope of JK⟷?

-4

Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to line AB?

-5x − 3y = 0

Select the correct answer. Given: r∥s Prove:mr = ms The table and corresponding image show the proof of the relationship between the slopes of two parallel lines. What is the missing statement in step 2?

0 - a/c - 0 = - a/c

Select the correct answer from each drop-down menu In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is---- If the coordinates of point A are (0,6), the area of rectangle ABEF is--- square units, and the area of rectangle ACDF is--- square units. The perimeter of rectangle BCDE is--- units.

2;3 64.03 96.05 22.81

Type the correct answer in each box. If necessary, round your answers to the nearest hundredth. The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). The perimeter of ∆ABC is

32.44 units, and it's area is 30 square units

A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move along the path A-B-C-D-A represented on the coordinate plane. What distance will the rover cover if it completes one circuit?

40 meters

Select the correct answer. The endpoints of WX are W(5,-3) and X(-1,-9). What is the length of WX?

6√2 units.

Line CD bisects AB― at point G. If AE = BE, which equation must be true?

AG = BG

Select the correct answer from each drop-down menu. In the figure below, u∥v. Prove: ∠3 and ∠5 are congruent.

Alternative exterior angle theorem transitive property of congruence

Study this incomplete image of a geometric construction. This image may result from the construction of an angle congruent to a given angle parallel lines an angle bisector a perpendicular line. The next step in this construction is to set the compass width to line segment BK and draw an arc centered at L intersecting the existing arc through L arc JK and draw an arc centered at L intersecting the existing arc through L line segment BK and draw an arc centered at L in the interior of the new angle.arc JK and draw an arc centered at L on the leg of the new angle.

C. an angle bisector C. line segment BK and draw an arc centered at L in the interior of the new angle.

Select the correct answer from each drop-down menu. CD⟷ is perpendicular to CD⟷ and passes through point C(5, 12).

If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD⟷ is (17,0).The point (-2, 19) lies on CD⟷.

Select the correct answer from each drop-down menu. Jamal is using the distance formula to find the length, d, of the line segment. His work so far is shown. What is Jamal's next step?

Jamal should the LENGTH OF EACH LEG by SUBTRACTING THE X-COORDINATES AND Y-COORDINATES

Select the correct answer. Based on the construction shown, what is the next step when bisecting line segment AB using string?

Option (C) Setting the compass width between point A and where the arc crosses segment AB would be the best choice.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point F is at 4, and point G is at -2. Point H lies between point F and point G. If the ratio of FH to HG is 3 : 9, where does point H lie on the number line?

Point H is at 2.5 on the number line

Select the correct answer from each drop-down menu. The given diagram shows a construction completed using a straightedge and a compass.

The diagram shows the construction OF THE ANGLE BISECTOR OF ANGLE ABC WRONG copying angle ABC 24

Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. Which student(s) successfully outlined a series of steps to complete the construction?

both Elias and Greyson

Drag the tiles to the correct boxes to complete the pairs. In the figure, lines HJ and KL are parallel. Match each angle relationship with the appropriate reason.

m∠HED = m∠FEJ ---> Vertical angles theorem m∠KFE = m∠DEH ---> Alternate interior angles theorem m∠LFG = m∠DEH ---> Alternate exterior angles theorem m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem m∠DEJ = m∠EFL ---> Corresponding interior angles theorem m∠LFG + m∠GFK = 180 ---> linear pair

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3). Create an equation for a line passing through point A and perpendicular to BC.

y= -5/2 x + 31/2

Drag the tiles to the correct boxes to complete the pairs. In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles.

∠3,∠7,∠6 angles congruent to ∠2 ∠3,∠7,∠2 angles congruent to ∠6 ∠4,∠8,∠5 angles congruent to ∠1 ∠3,∠6,∠2 angles congruent to ∠7