Geometry Questions

The height of a poplar tree in feet at age t years can be modeled by the function h t 6 3 n t 1 Use the model to predict the number of years when the height will exceed 18 feet

32x 1 7 Find x Select one a 3 2 Ob 2 O C d 17 33 2

What reason allows the following statement to be true Given A and DB are vertical angles then DA B Linear Pair Postulate Definition of Bisector Vertical Angles Congruence Theorem Definition of Supplementary

Listen Find m T T 4x 6 6x 11 95 S U

You are given that point F is located on segment ED you can conclude O EF ED by the definition of congruence EF FD ED by the definition of midpoint EF is a right angle by definition of right angles EF FD ED by the segment addition postulate

Marcus said that these two triangles were congruent by Hypotenuse Leg HL Why can t these triangles be proved congruent by HL What postulate could you use to prove them congruent Be sure to answer both parts for full credit and give your answers in a complete sentence

Listen Find m S VA 2 7x 2 4x 13 19 S

What is the reason for statement 4 Given BC DA AC bisects ZBCD Prove A4BC ACDA B O

What type of angles are these Then solve for x 65 6x 1

Given Segment AB is a perpendicular bisector of segment XY Prove Segment AX is congruent to segment AY What should be the reason for statement number 6 A X B

s QRST below a rectangle 2 6 2 2 6 R D 2 Q T S 16 8 A 10 XA lect one OA No because it is not a parallelogram B Yes because QRST is a parallelogram but its diagonals are not congruent C Yes because QRST is a parallelogram and its diagonals are congruent D No because QRST is a parallelogram and its diagonals are congruent E No because QRST is a parallelogram but its diagonals are not congruent

What is the reason for statement 3 Given ZWXW and VW YW Prove AVWZ AYWX V W X

Fy 2x find the value of y elect one a 4x b 24x C c 1 4x d 22x

What kind of triangle is made by connecting the points A 0 6 B 3 6 and C 3 2 Select one A right OB equilateral C right and isosceles D isosceles

Simplify and evaluate the following expression log6 3 log 6 2 Select one a 6 b 1 OC 0 d 2 C

1 Graph and label each quadrilateral with the given vertices Then determine the most precise name for each quadrilateral L information in the chart below to help you solve the problems Credit will not be given if you do not show work Formula Distance Formula d x x y y Midpoint Formula M Slope Formula m When to Use It To determine whether sides are congruent diagonals are congruent To determine the coordinates of the midpoint of a side whether diagonals bisect each other To determine whether opposite sides are parallel diagonals are perpendicular sides are perpendicular a 2 1 3 3 1 5 2 3 b 6 3 0 5 10 5 4 3

Simplify the following log 2 x 8 log 2 x 4 Select one a 8 log 2x O b log2x O c d 2log 2x 4 log 2 x

2 What is the most precise classification of the quadrilateral by connecting in order the midpoints of each figure below Explain See example Problem 3 in the textbook a JKLM b kite WXYZ O X

Simplify the following log 4 16 log 44 Select one a 4 O b 0 C 2

Solve the following equation 6 x 2 21 Select one a 0 301 O b 0 602 OC 0 301 d 0 602

Convert the following to logarithm form 4 16 elect one a log216 4 b log 4 16 2 c log 42 16 d log 164 2

Simplify Ine8x Select one O a x8 Ob e8x C 8 d 8x

The diagonals of quadrilateral EFGH intersect at D 1 3 EFGH has vertices at E 1 7 and F 3 5 What must be the coordinates of G and H to ensure that EFGH is a parallelogram to The coordinates of G must be Type an ordered pair

The endpoints of GH are G 3 4 and H 15 22 Find the coordinates of the points that divide GH into the given number of congruent segments 6 congruent segments The coordinates of the points are Type an ordered pair Use a comma to separate answers as needed

Determine the most precise name for the quadrilateral Then find its area A 1 4 B 3 4 C 4 4 D 6 4 What is the most precise name for the quadrilateral ABCD A The quadrilateral ABCD is a rhombus B The quadrilateral ABCD a parallelogram OC The quadrilateral ABCD is a square OD The quadrilateral ABCD is a trapezoid OE The quadrilateral ABCD is an isosceles trapezoid OF The quadrilateral ABCD is a kite OG The quadrilateral ABCD is a rectangle The area of ABCD is square units Type an integer or a decimal

What is the value of x in kite ABCD 2x 5 A x 1 ect one A 8 B 4 C 2 D 16 B D X 4 C 4 x 2

For which value of x is ABCD a kite A D Select one A 73 OB 23 OC 33 OD 83 C 7 B

QUESTION 5 2 POINTS Find the equation of the line with slope 1 5 and y intercept 0 1

Find the lengths of LM TU and QP 2x 4 Select one 2x 4 3x 2 A 16 24 32 B 20 28 38 C 8 16 20 M U

LM is the midsegment of trapezoid RSXY What is LM Select one A 12 3 B 6 15 C 4 1 D 6 4 1 8 2 M

Find the values of x and y in the given kite Note Input answer as x y 4x 13 y 9 Answer A 5x 15 y

Find the measures of the numbered angles in the kite Note Input answer as 1 2 44 H Answer 2 80

Find GH Select one A 16 B 10 OC 3 D 13 C 10 4x 1 6x 2 D H E

Find the values of x and y in the isosceles trapezoid 6x 20 4x Select one A x 10 y 116 B x 16 y 96 C x 10 y 96 D x 16 y 116

Find the measures of the numbered angle in the isosceles trapezoid L M 135 Answer 0 3 N Note Input answer as 1 2 3

K Find the measures of the numbered angles in the kite shown to the right m21 90 m 2 90 m 3 90 m 4 90 m 5 CO 9 10 26 12 54 6 34 5 78

The center of an ellipse is located at 0 0 One focus Which equation represents the ellipse is located at 12 0 and one directrix is at x 14 1 12 x 2 13 2 y 2 5 2 1 x 2 13 2 y 2 12 2 1 x 2 14 2 y 2 5 2 1 x 2 14 2 y 2 13 2 1 Mark this and return

Find the lengths of the segments with variable expressions EF 12 AD A X 9 D E B X 2x 3 117

15 Travis s collection of DVDs contains 14 comedies 12 dramas and 10 action movies He wants to select two movies at random without replacement a Find the probability of selecting two comedies 3 pts

Complete the proof What is the statement 2 and reason 2 Given ALEG 4L 46 Prove AALN AEGN G M E 1 2 3 Statements Reasons 1 Given 2 3

What is the missing reason 5 in the proof below Given AC CE DC BC A X C B Prove ZB ZD Statements 1 2 3 ZACBEZDCE 4 AABC ADEF 5 B 2D Reasons 1 2 Given 345 D E

If A JHI AJLK then what does JH OZK OLK KJ

What is the missing statement 2 in the proof below Given GH KL ZG K and GI KJ G H Prove HILJ Statements 1 GH KL 2 3 GI KJ 4 5 HILJ Reasons 1 Given 2 Given 3 4 SAS 5

AMLK AKOR M L HHH ZLKM K HHH R

Listen Are the triangles congruent If so state the postulate P Not Congruent ASA AAS

Solve for x Solve for x 65 75 4x 4

MSH Find the value of x x 7 3x 1

Assume point P lies on the center of RST Find the measure of the missing angle ZRSP 35 2 PST 62 Find the measure of ZRST 102 97 65 32

What is the reason the following statement and conclusion are true Statement RS 10 Conclusion 2RS 20 Substitution Property of Equality Property of Equality Definition of Midpoint Definition of Congruency Multiplication Property of Equality

What reason allows the following statement and conclusion to be true Statement Point N is between Points J and K Conclusion JN NK JK Multiplication Vertical Angles Segment Addition Postulate Definition of Midpoint