the
sum of all the angles in the triangle is 180degree
Sum of angles in the rhombus is 360degree
In the rhombus diagonals bisect at 90degree
2. a) In the isosceles trapezoid below, we have ZBAC = LBDC = 90', AE =...
ABIBC=AC E PEPEDED b) In the figure below, AACB and A DAB are isosceles, with AC = BC, and AD AB. IF ZACB = 50° and ZDAG = 45°, find all other angles and mark them in the figure. Show all your work. С ДАСВ D <CABY <ABC 2. CCABALACB=1880 . sop 26 CAB = 180-50 CAB = 65° - LABC A B
B and C
b) In the figure below, A ACB and A DAB are isosceles, with AC BC, and AD AB. If LACB = 50 and 2DAG = 45°, find all other angles and mark them in the figure. Show all your work. AACB <CABE <ABC 2. LCAB+LAB=180° . 24 CAB = 180°-50 LCAB = 65° - LABC А B c) In the figure below FG =CG, DA = EB, and ZGAE & GEA. Prove that ADFE ZA BCA. Show...
3. a) It is given that DEC = LEDB = x', and LABD = LACE = x - 20". Let ZBOC = 120. (0) Find the value of x. (W) Find the measure of ZEFD. (1) Show that EB-DC. D b) A circle of center A and radius AC = b is shown below, with BC = a, and AB = c. a+b2-c? (i) Prove that cos C = 2ab (1) Find ED. B D с c) In the figure...
1. Consider the isosceles triangle ABC, with AB = AC, and BAC = 20. Choose points E, D on the sides AB, AC, respectively, so that ZCBD = 60', and BCE = 50'. We will find LEDB. (i) Bring the parallel DF to BC, with F on AB. Connect points and F. and let K be the intersection of BD and CF. Show that DFBC is an isosceles trapezium. Mark all its angles. (ii) What type of triangles are BKC...
Q7 Find the value of n in APQR. 58 R 32 64 58 90 Complete the proof. Given: BD 1 AB, BD 1 DE, BC = DC B Prove: ZA = ZE с D E Statements Reasons 1) BD 1 AB, BD 1 DE 2) LCDE and ZCBA are right angles. 3) ZCDE = Z CBA 1) a. 2)Definition of perpendicular lines. 3) b. 4) ZECD = LACB. 5) BC = DC 4) Vertical angles are congruent. 5) C. 6)...
c) Consider the figure below. It is given that A ABC is a 30-60° right triangle, A DEF is an isosceles triangle with DF = EF, DE | AC, ZDEF = 65°, ZDIL = 38.2, and ZIK) = 31'. Find all angles in the figure and mark them on the figure. Clearly show all your work B D G E A
QUESTION 1
Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x
+ 15, find the value of x.
15
15
18.75
7.5
2 points
QUESTION 2
Determine whether parallelogram JKLM with vertices J(-1, 1),
K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or
all three.
rhombus
square
rectangle
rhombus, square and rectangle
2 points
QUESTION 3
In rectangle JKLM, JK is equal to 12 feet, and LN is equal...
The three charged particles in the figure below are at the vertices of an isosceles triangle (where d = 4.60 cm). Taking q = 8.30 mu C, calculate the electric potential at point A, the midpoint of the base. Superposition allows us to determine the electric potential due to each charge and then sum them to find the total electric potential. V
4. On the segment CD we draw the semicircle (A, a) which is tangent to the semicircle (B, b). We also draw the semicircle (0, OC), and the perpendicular EF to CD. The segments FC,FD intersect the semicircles at points H, J. The circles (M.). (L. 2) are tangent to the semicircle (O), the segment FE, and the semicircles (A). (B), respectively. a) Show that OC = a + b. b) Show that FE is a common tangent to the...
An ant is crawling along a straight wire, which we shall call
the xaxis, from A to B to C to
D (which overlaps A), as shown in the figure
below. O is the origin. Suppose you take measurements and
find that AB is 58 cm , BC is
35 cm , and AO is 5 cm
A) What is the ant’s position at
point A?
B) What is the ant’s
position at point B?
C) What is the ant’s...